ASVAB Electronics: Practice Test

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Listen to an AI-generated conversation about this lesson

Questions and Answers

In an electronic circuit, what is the primary function of a diode?

  • To allow electric current to pass in only one direction. (correct)
  • To regulate voltage levels to protect sensitive components.
  • To amplify the current within the circuit.
  • To store electrical energy for later use.

Which type of semiconductor device is specifically designed to convert electrical current into light?

  • Thermistor
  • Transistor
  • Photodiode
  • LED (Light Emitting Diode) (correct)

What is the effect of a blown fuse on an electrical circuit?

  • It reduces the resistance in the circuit.
  • It causes a short circuit, increasing current flow.
  • It increases the voltage supplied to the circuit.
  • It creates an open circuit, interrupting current flow. (correct)

Silicon chips are a fundamental component in which of the following electronic devices?

<p>Integrated circuits (A)</p> Signup and view all the answers

A standard multimeter is commonly used to measure which of the following electrical properties?

<p>Voltage, current, and resistance. (D)</p> Signup and view all the answers

Which tool is typically used to create permanent electrical connections between electronic components?

<p>Soldering iron (D)</p> Signup and view all the answers

In a motor or generator, which component is responsible for the revolving motion that produces electrical energy?

<p>Armature (B)</p> Signup and view all the answers

What conditions are required to establish electrical current flow in a circuit?

<p>A close circuit and difference of potential. (B)</p> Signup and view all the answers

When measuring resistance using an ohmmeter, what preliminary step is crucial for accurate measurement and safety?

<p>Disconnecting the power from the circuit. (D)</p> Signup and view all the answers

Why is copper commonly used as a conductor in electrical applications?

<p>It is an efficient conductor of electricity and is relatively inexpensive. (B)</p> Signup and view all the answers

What is the primary function of a photoelectric cell?

<p>To convert light energy into electrical energy. (A)</p> Signup and view all the answers

What causes a neon bulb to emit light?

<p>The high resistance of the neon gas heats the bulb. (C)</p> Signup and view all the answers

Besides 'transistor', what is another common name for this electronic component, related to its material properties?

<p>Semiconductor (B)</p> Signup and view all the answers

What property of an electrical circuit opposes the flow of electrons, thus limiting the current?

<p>Resistance (C)</p> Signup and view all the answers

In a 220 volt circuit with a resistance of 10 ohms, what is the current, according to Ohm's Law?

<p>22 amps (A)</p> Signup and view all the answers

What is the total resistance of two 100 ohm resistors connected in parallel?

<p>50 ohms (D)</p> Signup and view all the answers

Which word best describes the action of a politician who consistently avoids taking responsibility for failed policies?

<p>Shirk (C)</p> Signup and view all the answers

A community is experiencing a schism due to conflicting views on a proposed development project. Which of the following actions would most likely exacerbate the schism?

<p>Implementing the project unilaterally, ignoring minority concerns (B)</p> Signup and view all the answers

An historian is researching texts from the 18th century. Which term accurately describes language usages and constructs that does not appear in the vernacular?

<p>Archaic (A)</p> Signup and view all the answers

A film critic wrote an incisive review of the new movie that quickly went viral. This means more people saw the movie. Which of the following describes qualities of that review?

<p>Its accuracy and sharply focused points (C)</p> Signup and view all the answers

A charitable organization demonstrates philanthropy through its work. Which outcome represents a direct, observable consequence of their philanthropic activities?

<p>Tangible improvements in the welfare of those they assist (A)</p> Signup and view all the answers

Which scenario best illustrates the meaning of attrition?

<p>The gradual wearing down of tires on a car due to extensive driving. (B)</p> Signup and view all the answers

Which of the following situations exemplifies the meaning of makeshift?

<p>Repairing a leaky roof with spare tarpaulin during a storm. (C)</p> Signup and view all the answers

In which of the following scenarios would the term impetuous be most applicable?

<p>An investor making stock purchases based on a friend's hasty advice. (D)</p> Signup and view all the answers

Which of the situations below best illustrates the meaning of hindrance?

<p>A fallen tree blocking a road after a storm. (B)</p> Signup and view all the answers

Which of the following scenarios demonstrates the concept of deplete?

<p>The rapid consumption of natural resources leading to scarcity. (A)</p> Signup and view all the answers

Which of the following actions would most closely align with the meaning of rectify?

<p>To correct a mistake or error. (D)</p> Signup and view all the answers

In which scenario would you most likely need to create an itinerary?

<p>When planning a multi-city trip. (C)</p> Signup and view all the answers

Which of the following elements would be considered anachronistic in a movie set in the 18th century?

<p>A character using a modern smartphone. (A)</p> Signup and view all the answers

A scientist observes that a particular virus is virulent. Which of the following is the most likely course of action?

<p>To implement strict containment and isolation measures. (C)</p> Signup and view all the answers

Which situation demonstrates someone acting with alacrity?

<p>Quickly and cheerfully volunteering for extra work. (A)</p> Signup and view all the answers

A rectangular garden measures 15 feet in length and 12 feet in width. What is the area of this garden expressed in square yards?

<p>20 square yards (D)</p> Signup and view all the answers

A rectangular area of a wall is to be painted. The area measures 12 feet long by 9 feet high. If one gallon of paint covers 36 square feet, how many gallons of paint are needed to apply two coats to the wall?

<p>6 gallons (A)</p> Signup and view all the answers

A circular rug with a radius of 3 feet is placed in the center of a rectangular room that is 15 feet long and 9 feet wide. What is the approximate area (in square feet) of the room that is not covered by the rug? Use $\pi \approx 3.14$.

<p>106.6 square feet (B)</p> Signup and view all the answers

Box A has a volume of 600 cubic inches. Box B has a length that is half the length of Box A, the same width as Box A, and a height that is triple the height of Box A. What is the volume of Box B?

<p>900 cubic inches (A)</p> Signup and view all the answers

A store is having a 20% off sale on all items. You also have a coupon for an additional 10% off the sale price. If you buy an item originally priced at $50, what is the final price you will pay before sales tax?

<p>$36.00 (B)</p> Signup and view all the answers

You are mailing a package that weighs 3 lb 5 oz. The postal service charges a base rate of $3.00 plus $0.20 for each ounce over 4 ounces. What will it cost to mail the package?

<p>$10.20 (B)</p> Signup and view all the answers

An item is priced at $75 after a 25% discount. What was the original price of the item before the discount was applied?

<p>$100.00 (C)</p> Signup and view all the answers

A store charges 6% sales tax on all purchases. If you pay $31.80 for an item including sales tax, what was the price of the item before tax?

<p>$30.00 (D)</p> Signup and view all the answers

If the dimensions of a rectangular room are given in feet, what conversion factor is necessary to find the dimensions in yards for calculating flooring costs?

<p>Divide the length and width in feet by 3. (D)</p> Signup and view all the answers

A room is 18 ft long and 15 ft wide. If the hardwood flooring costs $5 per square foot, which calculation determines the total cost of flooring?

<p>$(18 \times 15) \times 5$ (B)</p> Signup and view all the answers

If a steamboat travels at a rate of x mph in calm water and its rate upstream is (3/4)x, and downstream is twice the upstream rate, which expression represents the downstream rate?

<p>$(3/2)x$ (B)</p> Signup and view all the answers

A boat travels downstream at 24 mph, which is twice its upstream speed. If its upstream speed is (3/4) of its speed in calm water, what is its speed in calm water?

<p>32 mph (C)</p> Signup and view all the answers

A kitchen is 6 yards long and 4 yards wide. If tiling costs $3 per square foot, setting up which calculation will provide the total tiling cost?

<p>$(18 \times 12) \times 3$ (D)</p> Signup and view all the answers

If a rectangular garden is 8 yards by 6 yards, and you need to determine the cost of tiling it at $4 per square foot, what setup would solve the problem?

<p>$(24 \times 18) \times 4$ (A)</p> Signup and view all the answers

Initially, a pet store sold six puppies for $110 each and twelve kittens for $20 each. By the end of the day, four puppies and eight kittens had been sold. What is the ratio of puppy sales to kitten sales?

<p>11:2 (B)</p> Signup and view all the answers

At a pet store, six puppies were initially selling for $120 each, and twelve kittens were selling for $30 each. By the end of the day, the store had sold four puppies and nine kittens. What is the simplified ratio of total puppy sales to kitten sales?

<p>16:9 (B)</p> Signup and view all the answers

The sides of two squares are in the ratio of 5:2. What is the ratio of their perimeters?

<p>5:2 (D)</p> Signup and view all the answers

A square and a rectangle have the same perimeter. If the rectangle is 18 cm long and 14 cm wide, what is the area of the square?

<p>256 square cm (B)</p> Signup and view all the answers

What does a negative exponent in scientific notation indicate regarding the decimal point's movement?

<p>The decimal point moves to the left. (C)</p> Signup and view all the answers

When simplifying a ratio, what is the most important first step?

<p>Identify a common divisor for all numbers in the ratio. (B)</p> Signup and view all the answers

Which of the following best describes the types of operations one should look for when identifying number series patterns?

<p>Multiplication, division, addition, or subtraction. (D)</p> Signup and view all the answers

Given the number series: 3, 6, 6, 12, 12, 8, ?, what is the next number in the series?

<p>16 (C)</p> Signup and view all the answers

According to the overview provided, what range of correct answers on the practice test suggests a need for 'several months' of further study?

<p>59% or fewer correct. (D)</p> Signup and view all the answers

Consider the sequence: 2, 6, 18, 54. What is the most likely next number in the sequence, assuming it follows the established pattern?

<p>162 (C)</p> Signup and view all the answers

A figure is divided into a total of 12 equal parts, and 3 of those parts are shaded. What fraction represents the shaded portion in simplest form?

<p>1/4 (C)</p> Signup and view all the answers

Identify the missing term in the following exponential series: 2, 9, 64, ____, 46656.

<p>625 (A)</p> Signup and view all the answers

If 20% of a number is equal to 5, what is 70% of the same number?

<p>17.5 (B)</p> Signup and view all the answers

Solve for 'y': y + $0.15 = $1.37

<p>$1.22 (D)</p> Signup and view all the answers

Determine the value of 'x' in the equation $3^x = 81$.

<p>4 (D)</p> Signup and view all the answers

Factor the following quadratic trinomial: $x^2 + 7x + 12$.

<p>$(x + 3)(x + 4)$ (A)</p> Signup and view all the answers

Evaluate 6!

<p>720 (D)</p> Signup and view all the answers

What is the next number in the following arithmetic sequence: 3, 8, 13, 18, ...?

<p>23 (B)</p> Signup and view all the answers

Simplify the fraction 24/36 to its simplest form.

<p>2/3 (B)</p> Signup and view all the answers

A family plans a road trip. They drive to a destination at 55 mph for 3 hours, then to another destination 160 miles away, and finally return home along the same route. What is the total distance of the round trip?

<p>830 miles (A)</p> Signup and view all the answers

Which expression correctly translates the statement "three times the difference of a number and seven"?

<p>3(x - 7) (C)</p> Signup and view all the answers

What is the correct representation of '5 less than twice the sum of a number and 3'?

<p>2(x + 3) - 5 (D)</p> Signup and view all the answers

What is the primary benefit of reviewing answer choices first in sequence of events questions?

<p>To focus your reading on specific details. (B)</p> Signup and view all the answers

According to the timeline, which event occurred directly after the Honda Civic met the U.S. Clean Air Act emission standards?

<p>Honda launched the Honda Accord. (C)</p> Signup and view all the answers

A car travels 120 miles to city A at 60 mph and then 180 miles to city B at 45 mph. What was the car's average speed for the entire journey?

<p>50 mph (C)</p> Signup and view all the answers

If 'x' represents a certain number, how is 'five less than the quotient of that number and two' written?

<p>$\frac{x}{2} - 5$ (B)</p> Signup and view all the answers

Consider a timeline: Event X happened in 1995, Event Y occurred 7 years prior to Event X, and Event Z took place 3 years after Event Y. In what year did Event Z occur?

<p>1991 (C)</p> Signup and view all the answers

Which scenario best illustrates a chemical change rather than a physical change?

<p>Iron rusting when exposed to moist air over time. (B)</p> Signup and view all the answers

An atom is most likely to readily form chemical bonds with other atoms if it has which of the following characteristics regarding its outermost electron shell?

<p>One or two electrons, or seven or eight electrons in its outermost shell. (A)</p> Signup and view all the answers

Consider a substance that can be easily compressed and takes the shape of its container but does not have a fixed volume, expanding to fill the entire available space. Which state of matter best describes this substance?

<p>Gas (A)</p> Signup and view all the answers

A hydroelectric dam converts the potential energy of water held at a height into electrical energy as it flows downwards to turn turbines. Which principle of physics is best exemplified by this process?

<p>The law of conservation of energy. (B)</p> Signup and view all the answers

In the process of photosynthesis, what is the crucial role of chlorophyll?

<p>To absorb light energy, initiating the conversion of carbon dioxide and water into glucose. (B)</p> Signup and view all the answers

Compared to bacteria, viruses are distinctly different because they:

<p>Consist of genetic material enclosed in a protein coat and require a host to replicate. (A)</p> Signup and view all the answers

If an individual has a gene for a particular trait that is described as 'dominant', what is the most direct consequence regarding the expression of this trait?

<p>The trait will be expressed in the individual, even if only one copy of the dominant gene is present. (A)</p> Signup and view all the answers

Consider a scenario where ice at 0°C melts to water at 0°C. Which of the following statements accurately describes the energy and chemical changes during this process?

<p>Energy is absorbed by the ice to overcome intermolecular forces, but the chemical composition of water remains unchanged. (D)</p> Signup and view all the answers

Which of the following processes demonstrates how evaporation helps regulate environmental temperature?

<p>Warmer temperatures increase the rate of evaporation, causing cooling. (B)</p> Signup and view all the answers

How does an organism's niche differ from its habitat?

<p>A habitat includes only the physical location, while a niche includes the specific role and interactions of the organism. (D)</p> Signup and view all the answers

In what way do exothermic and endothermic reactions affect the immediate environment?

<p>Exothermic reactions warm the environment by releasing energy, while endothermic reactions cool the environment by absorbing energy. (C)</p> Signup and view all the answers

How can a parasitic relationship potentially evolve into one that is mutually beneficial?

<p>The parasite begins to provide a service to the host that enhances its survival. (B)</p> Signup and view all the answers

Why is fermentation important for organisms in environments lacking oxygen?

<p>It provides an alternative pathway to produce energy from sugar when oxygen is not available. (A)</p> Signup and view all the answers

Which of the following correctly distinguishes between physical and chemical properties?

<p>Physical properties describe a substance's appearance without changing its composition, while chemical properties describe its reactivity affecting its composition. (B)</p> Signup and view all the answers

What is the primary environmental advantage of using renewable energy sources over non-renewable ones?

<p>Renewable sources have a lower impact on climate change and environmental degradation. (C)</p> Signup and view all the answers

How do the structural differences between prokaryotic and eukaryotic cells influence their functions?

<p>Eukaryotic cells have specialized organelles, enabling compartmentalization and more complex functions compared to prokaryotic cells. (D)</p> Signup and view all the answers

Which of the following scenarios best illustrates the process of diffusion?

<p>Oxygen moving from a region of high concentration in the lungs to a region of lower concentration in the blood. (A)</p> Signup and view all the answers

If a plant has the genotype Rr for flower color, where R is dominant for red and r is recessive for white, what phenotype will the plant display?

<p>Red (D)</p> Signup and view all the answers

In genetics, how does the presence of a dominant gene affect the expression of a recessive gene?

<p>The dominant gene masks the expression of the recessive gene. (C)</p> Signup and view all the answers

Which of the following characteristics is unique to plant cells compared to animal cells and directly supports the plant's ability to produce its own food?

<p>The presence of chloroplasts that enable photosynthesis. (A)</p> Signup and view all the answers

How does the structure of a food web differ from that of a food chain, and what does this imply about the stability of an ecosystem?

<p>A food web consists of interconnected food chains, illustrating a more complex and potentially more stable ecosystem. (A)</p> Signup and view all the answers

If the concentration of water outside a cell is higher than inside the cell, what process will occur and what will be the net movement of water?

<p>Osmosis; water will move from outside to inside. (C)</p> Signup and view all the answers

In the context of energy acquisition, how do autotrophs and heterotrophs differ, and what is the fundamental source of energy for each?

<p>Autotrophs use sunlight or chemical energy to produce their own food; heterotrophs obtain energy by consuming other organisms. (A)</p> Signup and view all the answers

Which of the following processes describes cell division resulting in two daughter cells with identical genetic information?

<p>Mitosis (D)</p> Signup and view all the answers

What is the role of enzymes in biochemical reactions, and how is their function vital to biological systems?

<p>Enzymes act as catalysts to speed up biochemical reactions, and their specificity ensures proper functioning. (A)</p> Signup and view all the answers

How do the properties of acids and bases influence chemical and biological processes, and what is the result of their reaction with each other?

<p>Acids donate hydrogen ions, while bases accept them; acids and bases react to form salts and water. (C)</p> Signup and view all the answers

What is the primary distinction between renewable and non-renewable resources, and what implications does this have for sustainability?

<p>Renewable resources can be replenished over human timescales, while non-renewable resources cannot, affecting long-term resource availability. (C)</p> Signup and view all the answers

What is the significance of the predator-prey relationship in an ecosystem, and how do these interactions influence the characteristics of the participating species?

<p>Predator-prey interactions drive natural selection, shaping behaviors and physical traits as adaptations for survival. (D)</p> Signup and view all the answers

How are the genotype and the phenotype of an organism related, and what factors can influence the phenotype?

<p>Genotype determines the potential range of traits; phenotype is the observable expression which can be influenced by environmental factors. (C)</p> Signup and view all the answers

What are the key structural differences between prokaryotic and eukaryotic cells and why are eukaryotic cells able to perform more complex functions?

<p>Eukaryotic cells have a nucleus and membrane-bound organelles, enabling specialized functions. (D)</p> Signup and view all the answers

What are genes and alleles, and how do they contribute to the diversity observed in living organisms?

<p>Genes are sections of DNA that code for proteins, while alleles are variant forms of those genes, creating diversity. (D)</p> Signup and view all the answers

How does the greenhouse effect influence the Earth's temperature, and which specific gases contribute most significantly to this phenomenon?

<p>The greenhouse effect warms the Earth by trapping heat. Carbon dioxide and methane contribute. (D)</p> Signup and view all the answers

How does the process of respiration support the survival of organisms, and what gases are exchanged during this process?

<p>Respiration takes in oxygen and releases carbon dioxide. (B)</p> Signup and view all the answers

Why is performing 'mental warm-ups' considered beneficial before engaging in arithmetic tasks?

<p>They can increase mental efficiency by preparing the mind for arithmetic tasks. (D)</p> Signup and view all the answers

In a set of math test scores, what does the 'median' represent?

<p>The middle value when scores are arranged in order. (D)</p> Signup and view all the answers

Five students have the following math test scores: 97, 92, 81, 90, and 73. What is the median score?

<p>90 (A)</p> Signup and view all the answers

A platoon marches for three hours at six miles per hour. How far will the platoon travel?

<p>18 miles (B)</p> Signup and view all the answers

Jack eats three hot dogs per minute, and Jeff eats two hot dogs per minute. If they both participate in a 12-minute eating contest, how many hot dogs will they eat in total?

<p>60 (D)</p> Signup and view all the answers

In a mileage calculation scenario, what is required to calculate total miles?

<p>Multiply the number of participants by distance. (D)</p> Signup and view all the answers

In a marathon, if 11 friends each run 26 miles, what is the total distance run by all the friends combined?

<p>286 miles (D)</p> Signup and view all the answers

What initial step is crucial when finding the median of a data set?

<p>Arrange the numbers from least to greatest. (D)</p> Signup and view all the answers

What initial step is recommended for efficiently tackling mathematical problems?

<p>Writing down all the numbers presented in the problem. (B)</p> Signup and view all the answers

How should you approach a math problem that contains numerous numbers and seems intimidating?

<p>Recognize that the core question is likely simpler than it appears. (A)</p> Signup and view all the answers

What strategy is suggested for improving problem-solving speed when dealing with ASVAB math questions?

<p>Linking numbers together to understand their relationships. (A)</p> Signup and view all the answers

A rectangular vegetable garden has a perimeter of 150 feet and a length of 50 feet. What is the width of the garden?

<p>25 feet (B)</p> Signup and view all the answers

Diane's meal costs $85, and her client's meal costs $110. If there is a 15% gratuity, what is the amount of the gratuity?

<p>$29.25 (A)</p> Signup and view all the answers

Farmer Beth is selling her 320-acre farm for $3,000 per acre. If she decides to give the buyer $96,000 worth of land, what fraction of the farm is the buyer receiving?

<p>1/10 (B)</p> Signup and view all the answers

If seven times a number equals 28, what is the value of the number?

<p>4 (A)</p> Signup and view all the answers

Instead of directly reading the ASVAB for Dummies, what is an alternative method to absorb the material?

<p>Watch an overview of the material. (C)</p> Signup and view all the answers

Which of these ASVAB sections is emphasized and why?

<p>Arithmetic Reasoning, due to its combination of paragraph comprehension and basic math skills application. (C)</p> Signup and view all the answers

An item's price increases from $40 to $52. What percentage increase does this represent?

<p>30% (A)</p> Signup and view all the answers

A soldier's daily activities include 1/3 of their time working, 1/6 eating, 1/4 exercising, and the remainder dedicated to discretionary time. How many hours of discretionary time does the soldier have each day?

<p>3 hours (A)</p> Signup and view all the answers

A furniture store sells a couch for $800. During a holiday sale, the price is reduced to $640. What is the percentage decrease in the couch's price?

<p>20% (D)</p> Signup and view all the answers

If a book originally priced at $25 is sold for $28, what is the percentage increase in price?

<p>12% (B)</p> Signup and view all the answers

At a local grocery store, the price of apples increases from $1.25 per pound to $1.50 per pound. What is the percentage increase in the price of apples?

<p>20% (D)</p> Signup and view all the answers

What is the initial step in determining the percentage decrease in the price of an item?

<p>Calculate the difference between the original price and the new price. (A)</p> Signup and view all the answers

Steve, along with his three children, is painting a fence. If each person works 7 hours a day, what is the total number of hours they work combined each day?

<p>28 hours (C)</p> Signup and view all the answers

A student spends 1/3 of their day in school, 1/6 doing homework, and 1/4 in extracurricular activities What fraction of the day remains?

<p>1/4 (A)</p> Signup and view all the answers

A store buys a used book for $5 and sells it for $6.50. What is the percentage markup on the book?

<p>30% (A)</p> Signup and view all the answers

Why is it important to not rush through the General Science, Arithmetic Reasoning, Math Knowledge, Paragraph Comprehension, and Word Knowledge sections of the ASVAB?

<p>Rushing can dramatically lower your score. (B)</p> Signup and view all the answers

Cujo and Achilles had 250 dog treats, but they ate 200 of them. What percentage of the dog treats remains?

<p>20% (C)</p> Signup and view all the answers

Chris is five times as old as Sailor, and the sum of their ages is 18. How old is Chris?

<p>15 (D)</p> Signup and view all the answers

Train 1 leaves a station traveling at 40 mph. An hour later, Train 2 leaves the same station traveling at 50 mph. How many hours after Train 2 departs will it take for Train 2 to overtake Train 1?

<p>5 hours (C)</p> Signup and view all the answers

Solve the following equation for $x$: $5x + x = 24$.

<p>x = 4 (D)</p> Signup and view all the answers

Chris is four times as old as Sailor, and the sum of their ages is 20. How old is Sailor?

<p>4 (B)</p> Signup and view all the answers

What is the primary goal of the fraction exercises presented?

<p>To quickly improve arithmetic and multiplication skills for standardized tests. (A)</p> Signup and view all the answers

What distinguishes a fraction from a whole number?

<p>A fraction represents a part of a whole or a number between 0 and 1. (C)</p> Signup and view all the answers

In the context of a fraction, what does the denominator represent?

<p>The total amount from which a part is taken. (D)</p> Signup and view all the answers

Why is finding a common denominator a necessary step when adding or subtracting fractions?

<p>It allows you to combine the numerators correctly, as it ensures the fractions refer to the same size parts of a whole. (A)</p> Signup and view all the answers

When adding the fractions $\frac{5}{8} + \frac{1}{4}$, which of the following steps must be performed?

<p>Convert $\frac{1}{4}$ to $\frac{2}{8}$ and then add to $\frac{5}{8}$. (A)</p> Signup and view all the answers

What is the result of $\frac{9}{12} - \frac{1}{3}$ in simplified form?

<p>$\frac{5}{12}$ (A)</p> Signup and view all the answers

If the denominators of two fractions do not easily convert to a common multiple, what strategy can be used to find a common denominator?

<p>Multiply the two denominators together. (B)</p> Signup and view all the answers

What is the common denominator for $\frac{3}{8} - \frac{1}{3}$ if you use the 'multiply the denominators' strategy, and what are the equivalent fractions?

<p>Common denominator of 24; $\frac{9}{24}$ and $\frac{8}{24}$ (A)</p> Signup and view all the answers

If a recipe calls for 2/3 cup of flour and you only want to make half the recipe, which calculation shows the amount of flour you need?

<p>$2/3 \times 1/2$ (B)</p> Signup and view all the answers

What is the first step in solving the equation $\frac{2}{5} + \frac{1}{3} - \frac{1}{6}$?

<p>Find a common denominator for 5, 3, and 6 (C)</p> Signup and view all the answers

What is the result of simplifying the expression $\frac{4+6}{2 \times 5} \div \frac{15-5}{4}$?

<p>$\frac{3}{5}$ (B)</p> Signup and view all the answers

When multiplying fractions, under what condition can you simplify before multiplying?

<p>When a numerator and a denominator share a common factor (A)</p> Signup and view all the answers

What is the reciprocal of $\frac{5}{9}$, and how is it used in division?

<p>$\frac{9}{5}$, used by multiplying instead of dividing (B)</p> Signup and view all the answers

What is the value of the missing number: $\frac{5}{6} + \frac{?}{12} = \frac{19}{12}$?

<p>$\frac{9}{12}$ (C)</p> Signup and view all the answers

Which of the following is the simplified form of $\frac{3}{8} \div \frac{9}{16}$?

<p>$\frac{2}{3}$ (A)</p> Signup and view all the answers

After adding or subtracting fractions, you arrive at the fraction $\frac{25}{40}$. What must you do next?

<p>Simplify the fraction to its lowest terms (C)</p> Signup and view all the answers

What is the result of $\frac{5}{8} \times \frac{2}{3}$ without cross-simplifying, followed by simplification?

<p>$\frac{5}{12}$ (C)</p> Signup and view all the answers

What is the mixed number equivalent of the improper fraction $\frac{23}{5}$?

<p>4 3/5 (D)</p> Signup and view all the answers

Flashcards

Diode

Allows electric current to pass in only one direction.

LED (Light Emitting Diode)

Converts electrical current into light.

Blown Fuse

Interrupts current flow, creating an open circuit.

Silicon Chips

Used in integrated circuits (like computer processors).

Signup and view all the flashcards

Multimeter

Measures voltage, current, and resistance.

Signup and view all the flashcards

Soldering Iron

Creates permanent electronic connections.

Signup and view all the flashcards

Electric Current Flow Requirement

Requires a closed circuit and a potential difference in voltage.

Signup and view all the flashcards

AC (Alternating Current)

Electricity that flows in alternating directions.

Signup and view all the flashcards

Photoelectric Cell

A device that converts light energy into electrical energy.

Signup and view all the flashcards

Transistor

A semiconductor device used for amplifying or switching electrical signals and power.

Signup and view all the flashcards

Resistance

The opposition to the flow of electrons in an electrical circuit.

Signup and view all the flashcards

Amplifier

A device that increases the amplitude of a signal.

Signup and view all the flashcards

Alternating Current (AC)

Electric current that reverses direction periodically.

Signup and view all the flashcards

Series Circuit

An electrical circuit where components are connected in a single path.

Signup and view all the flashcards

Resistor

Circuit component used to limit current flow.

Signup and view all the flashcards

Ohm's Law

States that Voltage = Current * Resistance (V=IR).

Signup and view all the flashcards

Spite

A desire to hurt, annoy, or offend.

Signup and view all the flashcards

Adorn

To make more beautiful or attractive.

Signup and view all the flashcards

Schism

A split or division due to differences in opinion.

Signup and view all the flashcards

Philanthropy

Desire to promote the welfare of others, often through donations.

Signup and view all the flashcards

Inexorable

Impossible to stop or prevent.

Signup and view all the flashcards

Enclosure

An area sealed off by a barrier.

Signup and view all the flashcards

Obvious

Easily understood; clear.

Signup and view all the flashcards

Halt

To bring to a sudden stop.

Signup and view all the flashcards

Makeshift

Temporary substitute.

Signup and view all the flashcards

Ouster

Dismissal from a position.

Signup and view all the flashcards

Itinerary

A plan of a route or journey.

Signup and view all the flashcards

Antagonist

Someone who opposes or is hostile.

Signup and view all the flashcards

Portend

A sign or warning of something momentous.

Signup and view all the flashcards

Alacrity

Brisk and cheerful readiness.

Signup and view all the flashcards

Tenacious

Not easily dispelled, persistent.

Signup and view all the flashcards

Area of Shaded Section

Area of rectangle minus the area of shapes inside.

Signup and view all the flashcards

Volume of Rectangular Prism

Length × Width × Height

Signup and view all the flashcards

Mailing Cost (Excess Ounces)

Weight in ounces exceeds the base allowance.

Signup and view all the flashcards

Original Price

Price before sales tax is added.

Signup and view all the flashcards

Feet to Yards

1 yard is equal to 3 feet.

Signup and view all the flashcards

Shaded Area Calculation

Area representing a rectangle with two circles removed.

Signup and view all the flashcards

Comparing Prism Volumes

A comparison of their respective Length × Width × Height values.

Signup and view all the flashcards

Total Mailing Cost

Base cost + (excess ounces × cost per ounce).

Signup and view all the flashcards

Distance Formula

Distance equals rate multiplied by time.

Signup and view all the flashcards

Feet to Yards Conversion

Divide the length in feet by 3 to get yards.

Signup and view all the flashcards

Area of a Rectangle

Multiply length and width.

Signup and view all the flashcards

Total Cost Calculation

The total amount paid.

Signup and view all the flashcards

Ratio

A comparison shown as a fraction.

Signup and view all the flashcards

Perimeter of a Square

Side + Side + Side + Side

Signup and view all the flashcards

Perimeter of a Square

4 * side

Signup and view all the flashcards

Perimeter of a Rectangle

2 * (length + width)

Signup and view all the flashcards

Area of a Square

Side * Side

Signup and view all the flashcards

Rate

A ratio comparing two related values.

Signup and view all the flashcards

Scientific Notation

Representing very small or large numbers using powers of 10.

Signup and view all the flashcards

Negative Exponent in Scientific Notation

Shifting the decimal point to the left the number of places indicated by the exponent's absolute value.

Signup and view all the flashcards

Simplifying Ratios

Simplifying by finding the largest number that divides both.

Signup and view all the flashcards

Number Series

A list of numbers that follow a specific rule or order.

Signup and view all the flashcards

Alternating Patterns in Series

A series might alternate between addition and multiplication.

Signup and view all the flashcards

Fractions from Figures

Lines are drawn to divide the figure into equal parts. Form a fraction with shaded parts over the total parts. Reduce if needed.

Signup and view all the flashcards

Exponential Series

Identify the underlying mathematical operation linking terms.

Signup and view all the flashcards

Percentage Word Problems

"Is" translates to "=" and "of" translates to multiplication. Solve for the variable.

Signup and view all the flashcards

Exponents - Brute Force

Multiply the base number by itself until the result matches the stated value.

Signup and view all the flashcards

Factoring Trinomials (leading coefficient = 1)

Find the factor pairs of the constant that add up to the coefficient of x. Express in factor form.

Signup and view all the flashcards

Factorial Definition

Multiply the given number by every integer less than it down to 1.

Signup and view all the flashcards

Simplify Fractions

Find the greatest common factor (GCF) of the numerator and denominator, then divide both by the GCF.

Signup and view all the flashcards

Percent Problems

Translate the problem into an equation where "is" means equals and "of" means multiply. Simplify to find percent.

Signup and view all the flashcards

Reciprocal

The number that, when multiplied by the original number, results in 1.

Signup and view all the flashcards

Prime Numbers

Numbers divisible only by one and itself.

Signup and view all the flashcards

Calculating Distance

Multiply 60 by 2.5.

Signup and view all the flashcards

"Twice the Sum"

Represented by 2 * (x + 20), indicating multiplication after addition because 'sum' comes first.

Signup and view all the flashcards

Order of Operations

Carefully read the problem and note keywords like 'twice the sum' to determine order.

Signup and view all the flashcards

Sequence Questions

Analyze the options before the passage to guide your reading.

Signup and view all the flashcards

Honda N600

Honda's first car sold in America.

Signup and view all the flashcards

Honda Civic (1974)

Met emission standards of the U.S. Clean Air Act first.

Signup and view all the flashcards

Word Knowledge

Understanding commonly used words

Signup and view all the flashcards

Physical Change

Alters the form/state, but not the chemical composition.

Signup and view all the flashcards

Chemical Change

Rearrangement of atoms creating new substances.

Signup and view all the flashcards

Protons

Positively charged particles in the nucleus of an atom.

Signup and view all the flashcards

Electrons

Negatively charged particles orbiting the nucleus.

Signup and view all the flashcards

Gas

No definite shape or volume; fills the container..

Signup and view all the flashcards

Law of Conservation of Energy

Energy can change forms, but the total amount remains constant.

Signup and view all the flashcards

Photosynthesis

Conversion of light energy to chemical energy (glucose) by plants.

Signup and view all the flashcards

Dominant Genes

Genes that are expressed when present.

Signup and view all the flashcards

Evaporation

Water's change from liquid to gas.

Signup and view all the flashcards

Habitat

An organism's physical location.

Signup and view all the flashcards

Exothermic

Reaction that releases energy.

Signup and view all the flashcards

Parasites

Organisms that live on or in a host.

Signup and view all the flashcards

Fermentation

Energy production without oxygen.

Signup and view all the flashcards

Physical Properties

Appearance of matter.

Signup and view all the flashcards

Renewable Energy

Energy sources that can be replenished.

Signup and view all the flashcards

Prokaryotic

Cells lacking a nucleus.

Signup and view all the flashcards

Diffusion

Movement from high to low concentration.

Signup and view all the flashcards

Dominant Traits

Masks recessive traits.

Signup and view all the flashcards

Recessive Genes

Genes that are only expressed when paired with another recessive gene.

Signup and view all the flashcards

Mitosis

Cell division resulting in two identical daughter cells.

Signup and view all the flashcards

Chloroplasts

Plant cells have these for photosynthesis

Signup and view all the flashcards

Digestion

Breaks down food into smaller absorbable molecules.

Signup and view all the flashcards

Renewable Resources

Resources that can be replenished over time.

Signup and view all the flashcards

Enzymes

Regulate the speed of biochemical reactions.

Signup and view all the flashcards

Acids

Have a pH less than 7.

Signup and view all the flashcards

Food Chain

A single pathway of energy flow in an ecosystem.

Signup and view all the flashcards

Greenhouse Effect

Process where greenhouse gases trap heat in Earth's atmosphere.

Signup and view all the flashcards

Genotype

Genetic makeup of an organism.

Signup and view all the flashcards

Phenotype

Physical appearance or expression of genes.

Signup and view all the flashcards

Osmosis

Movement of water from high to low concentration through a membrane.

Signup and view all the flashcards

Meiosis

Type of cell division producing four genetically diverse daughter cells.

Signup and view all the flashcards

Respiration

Process of exchanging gases for cell energy production and waste release.

Signup and view all the flashcards

Median

The middle value in a sorted list of numbers.

Signup and view all the flashcards

Hot Dog Challenge

The amount of hotdogs Jack and Jeff ate in a time period.

Signup and view all the flashcards

Total Mileage

Adding up each contribution to the total mileage.

Signup and view all the flashcards

Sorting for Median

Arranging numbers from smallest to largest.

Signup and view all the flashcards

Distance Calculation

Distance by calculating speed times duration.

Signup and view all the flashcards

Combined Consumption

Adding individual contributions to find the total consumption.

Signup and view all the flashcards

Cumulative Distance

Total miles covered by a group

Signup and view all the flashcards

Math Problem Time Saver

Writing down the numbers you expect to use before solving.

Signup and view all the flashcards

Seven Times Four

7 multiplied by 4.

Signup and view all the flashcards

Rectangle Perimeter

All sides added together.

Signup and view all the flashcards

Rectangle Width Problem

The unknown side length of a rectangle.

Signup and view all the flashcards

Percent to Decimal

Move decimal two spaces to the left.

Signup and view all the flashcards

Calculating Gratuity

Restaurant bill multiplied by a percentage.

Signup and view all the flashcards

What is a Fraction

A portion of the whole.

Signup and view all the flashcards

Land Fraction

The buyer's land value divided by the farm's total value.

Signup and view all the flashcards

ASVAB

A test used to determine qualification for enlistment in the United States Armed Forces.

Signup and view all the flashcards

Arithmetic Reasoning

The ASVAB section testing the use of math to solve word problems.

Signup and view all the flashcards

Percentage

A fraction with a denominator of 100, representing a part of a whole.

Signup and view all the flashcards

Cross-Multiplication

A method of solving proportions by multiplying diagonally and equating the products..

Signup and view all the flashcards

Percentage Increase

The increase between the original price and the selling price, expressed as a percentage of the starting price.

Signup and view all the flashcards

Common Denominator

The least common multiple of the denominators of two or more fractions.

Signup and view all the flashcards

Discretionary Time

The number of hours of free time. Total time minus time spent doing required tasks.

Signup and view all the flashcards

Percentage-Based Expression

A ratio that compares a part to a whole, with the whole (base) being 100.

Signup and view all the flashcards

Percentage Change

Difference over the original price, then cross multiply.

Signup and view all the flashcards

ASVAB Early Sections

Failing the first few sections can end the test prematurely.

Signup and view all the flashcards

Dog Treats Percentage

Total = 250 dog treats, Remainder = 50 treats, Percentage = 20%.

Signup and view all the flashcards

Chris and Sailor's Ages

Chris is 15 years old, and Sailor is 3 years old.

Signup and view all the flashcards

Overtaking Trains

After 5 hours, Train 2 overtakes Train 1. Train 2 gains 10 miles every hour.

Signup and view all the flashcards

Sale Price

Represents the amount after reduction or discount.

Signup and view all the flashcards

Estimate

An estimation rounded to a specific place value.

Signup and view all the flashcards

Reasonable?

To determine a reasonable answer.

Signup and view all the flashcards

Unit Price

Calculated by dividing total cost by number of items.

Signup and view all the flashcards

Remainder

The amount remaining after deductions.

Signup and view all the flashcards

What is a Denominator?

The bottom number of a fraction, representing the total parts.

Signup and view all the flashcards

What is a Numerator?

The top number of a fraction, representing the parts being considered.

Signup and view all the flashcards

What is a Common Denominator?

A denominator that is the same for two or more fractions.

Signup and view all the flashcards

What is Equivalent Fraction Creation?

Multiply both the numerator and denominator of a fraction by the same number.

Signup and view all the flashcards

Fraction Sum/Difference

The result of adding or subtracting fractions with a common denominator.

Signup and view all the flashcards

What is a Simplified Fraction?

The fraction cannot be divided any further.

Signup and view all the flashcards

Multiplying Denominators

A method to find a common multiple, especially when other methods are not obvious.

Signup and view all the flashcards

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

Signup and view all the flashcards

Mixed Number

A number that combines a whole number and a fraction.

Signup and view all the flashcards

Denominator

The number below the fraction bar, indicating the total number of parts into which the whole is divided.

Signup and view all the flashcards

Numerator

The number above the fraction bar, indicating how many parts of the whole are being considered.

Signup and view all the flashcards

Equivalent Fractions

Fractions that represent the same value, even if they look different.

Signup and view all the flashcards

Multiplying Fractions

Multiply the numerators and the denominators.

Signup and view all the flashcards

Cross Simplifying

A shortcut in fraction multiplication where you simplify diagonally across fractions before multiplying.

Signup and view all the flashcards

Dividing Fractions

To divide fractions, multiply by the reciprocal of the second fraction.

Signup and view all the flashcards

Study Notes

ASVAB Study Session Overview

  • The session assists in passing the Armed Services Vocational Aptitude Battery (ASVAB).
  • Arithmetic reasoning combines paragraph comprehension and math knowledge, making it the most important section.
  • The study session features live arithmetic reasoning questions.

Initial Math Warm-Up

  • Simple math questions are completed to start the session.
  • Examples include: 5 x 5, 10 x 1, 12 x 12… until 10 x 12
  • This exercise warms up participants to associate numbers with answers quickly.

Math Warm-ups

  • Mental exercises prepare the mind for arithmetic tasks.
  • Warming up the mind can increase efficiency.
  • Multiplication questions can be an effective mental warm-up

Practice Problems

  • The goal is to warm up, similar to physical exercise, before working on math problems.
  • Basic math functions are essential.
  • Anything times one is itself.
  • Math warm-up questions might seem simple but are helpful.
  • The arithmetic side challenges many.
  • The ASVAB is a safe place to learn, do not hesitate to learn and ask for help.
  • Intention to help each other succeed.

Overview of Today's Lesson

  • The session is about arithmetic reasoning, which is tested on the ASVAB and PCAT.
  • Paper and pencil help with preparing for the test.
  • Questions can be valuable to ask to help build your knowledge.

Problem 1: Finding The Median

  • The 1st problem involves finding the median in a dataset.
  • Given five students' math test scores: 97, 92, 81, 90, and 73.
  • "Median" is the middle value.
  • Arrange numbers from least to greatest: 73, 81, 90, 92, 97.
  • Find the number directly in the middle of the sorted set, so 90 is the median score.

Problem 2: Calculating Distance

  • Question 2 involves calculating distance traveled.
  • A platoon marches for three hours at six miles per hour.
  • The goal is to determine how far the platoon goes in those three hours.
  • Moving at six miles per hour, the platoon travels six miles every hour.
  • Multiply six miles per hour by three hours to find total distance: 6 * 3 = 18 miles.
  • The platoon travels a total of 18 miles.

Problem 3: Hot Dog Challenge

  • Jack eats three hot dogs per minute, while Jeff eats two hot dogs per minute.
  • The goal is to determine how many total hot dogs they eat in 12 minutes.
  • Find how many hot dogs Jack eats in 12 minutes: 3 hotdogs/minute * 12 minutes = 36 hot dogs.
  • Find how many hot dogs Jeff eats in 12 minutes: 2 hotdogs/minute * 12 minutes = 24 hot dogs.
  • Total hot dogs eaten: 36 + 24 = 60 hot dogs in total.
  • Together, Jack and Jeff eat a total of 60 hot dogs in 12 minutes.

Problem 4: Mileage Calculations

  • A marathon runner challenges 11 friends to run 26 miles.
  • The goal is to find the total miles run by all friends.
  • Multiply 11 friends by 26 miles: 11 * 26 = 286 miles.
  • The total mileage ran by all friends equals 286 miles.

Quick tip Time savers

  • Start by writing down the numbers you expect to use when approaching math problems.
  • Do not be intimidated by numbers, the question is often hidden within the context.
  • Begin to associate numbers together to process questions faster which saves time in the long run.

Arithmetic Questions Source

  • The arithmetic questions are sourced from the "ASVAB for Dummies" study guide.
  • The instructor bought the latest version of the ASVAB for Dummies from Amazon.
  • Questions from the "ASVAB for Dummies" book were explained because understanding comes easier to some by hearing.

Multiplication Problem

  • Seven times four equals 28.

Rectangle Width Problem

  • Find the width of a rectangular vegetable garden.
  • The perimeter of the garden is 150 feet.
  • The length of the garden is 50 feet.
  • The perimeter of a rectangle is calculated by adding up all four sides: length + width + length + width.
  • Given the equation: 50 + width + 50 + width = 150 feet.
  • Combined length = 50 * 2 = 100 feet.
  • Calculate for the combined width: 150 - 100 = 50 feet.
  • There are two widths, so 50 is divided by 2 which means each width is 25 feet.
  • The answer: 25 feet. Calculating all sides: 25 + 25 + 50 + 50 = 150 feet.

Percentage Problem

  • Diane's meal costs $85; her client's costs $110, and the restaurant adds a 15% gratuity.
  • Total cost: $85 + $110 = $195.
  • Convert 15% to a decimal: 0.15.
  • Multiply the total cost by 0.15: $195 * 0.15 = $29.25.
  • The 15% gratuity is $29.25.

Fraction Problem

  • Farmer Beth sells her 320-acre farm for $3,000 per acre and gives the buyer $96,000 worth of land.
  • Need to find the fraction of Farmer Beth's land that the buyer is getting.
  • The total value of Farmer Beth's land equals $960,000 as a product of 320 x $3,000.
  • The fraction of land the buyer is getting is $96,000/$960,000.
  • Simplify the fraction.
  • This gives 96/960 by removing three zeros from both numbers.
  • 96 is one-tenth of 960, translating into the simplified fraction of 1/10.
  • The buyer is getting 1/10 of Farmer Beth's land.
  • These equations are verifiable: $96,000 is one-tenth of $960,000 , 96 is one tenth of 960, 96,000 is one tenth of 960,000.
  • One hour of intense studying is an accomplishment toward your path.
  • Subscribers will be granted assistance, sharing this video will also do the same for ASVAB applicants or Army recruiters. Success is made by actions, so get up and grind.

Percentage Increase Problem

  • Mr. Cameron bought a shirt for $20 and sold it for $26.
  • The goal is to find the percentage increase in price.
  • A percentage is always based out of 100 (X/100).
  • The difference between the selling price and the original price is $6.
  • Cross-multiplication 20x = 6 * 100
  • 20x = 600
  • Dividing both sides by 20 isolates X
  • X = 30%
  • Mr. Cameron made a 30% profit.

Time Fraction Problem

  • Portions of an enlisted person's time are allocated between activities in the military.
  • Activities include 1/4 for sleeping and eating, 1/12 standing at attention, 1/6 exercising, and 2/5 working.
  • The goal is to find the discretionary time amount in hours per day.
  • To solve for fractions, a common denominator is needed.
  • The common denominator between 4, 12, 6, and 5 is 60.
  • Convert fractions to have the same denominator 60: 15/60, 5/60, 10/60, and 24/60.
  • Adding fractions with a common denominator requires summing the numerators but not changing the denominator.
  • 15+5+10+24 = 54/60 is the fraction of how much time the soldier uses for required tasks
  • Remaining time is 6/60.
  • Simplify the fraction 6/60 to 1/10.
  • One-tenth of the time is used for discretionary purposes.
  • Since there are 24 hours in a day, divide 24 by 10.
  • 24 divided by 10 is 2.4 hours.

Designer Carpet Cost Problem

  • Designer carpet sells for $15 per square yard
  • The same carpet is $12.50 at a carpet outlet.
  • The objective is to find how much more expensive the designer's carpet is, as a percentage.
  • Set up the problem with a percentage-based expression.
  • Percentage is anything out of 100
  • The difference between $15 and $12.50 is $2.50.
  • Set up the cross-multiplication like this, 2.5/12.5=X/100
  • Cross multiply to create the expression 12.5X=2.5*100
  • Multiply to get 12.5X=250

Percentage-Based Questions

  • Percentage is anything out of 100, expressed as x/100.
  • To solve percentage-based questions, find the difference between the two values.
  • Place the difference over the original price or starting point.
  • Cross multiply to find the percentage.
  • Rushing through the ASVAB can cause errors

Steve's Fence Problem

  • Steve takes 56 hours to paint his fence.
  • He works with his three children who each work 7 hours per day.
  • To find the total number of workers include Steve and his three children, totaling four workers.
  • Each person works at the same rate of 7 hours per day.
  • The combined work per day is 4 workers * 7 hours/worker = 28 hours per day.
  • To find how many days it will take, divide the total hours by the combined work per day: 56 hours / 28 hours/day = 2 days.

Insider Tips for the ASVAB

  • Don't rush through the first five sections: General Science, Arithmetic Reasoning, Math Knowledge, Paragraph Comprehension, and Word Knowledge.
  • These sections contribute to the GT score and AFQT score.
  • The test may kick you off if you perform poorly on these sections
  • Arithmetic Reasoning is crucial for maximizing points and boosting your score.

Dog Treats Percentage Problem

  • Cujo and Achilles have 250 dog treats in total.
  • The dogs ate 200 treats.
  • First find the remainder, which is 250 - 200 = 50
  • Percentage is anything out of 100
  • Set up the equation as: x/100 = 50/250, where x is the percentage remains
  • Then cross multiply to create the expression 250x = 50*100
  • Next simplify to 250x = 5000
  • Then we divide both sides by 250: x = 5000/250
  • Therefore we can calculate the final answer x = 20 percent

Chris and Sailor's Age Problem

  • Chris is five times as old as Sailor
  • The sum of their ages is 18
  • Chris's age can be expressed as C = S * 5, where S is Sailor's age.
  • The sum of their ages is C + S = 18.
  • Substitute C in the equation: 5S + S = 18.
  • Simplify: 6S = 18.
  • Divide to find Sailors age: S = 18 / 6 = 3 Years
  • To find Chris's age substitute Sailors age : C + 3 = 18
  • Therefore we can calculate the final age C = 15
  • Therefore, Chris is 15 years old and Sailor is 3 years old.

Solving Equations

  • If 5s + s = 18, results in 6s = 18.
  • Dividing both sides by 6 gives s = 3, meaning Sailor's age is 3.
  • Chris + Sailor's age = 18, substituting Sailor's age gives Chris + 3 = 18.
  • Subtracting 3 from both sides shows Chris's age is 15.
  • Checking confirms 15 (Chris) + 3 (Sailor) = 18.
  • Chris is five times older than Sailor: 3 * 5 = 15, which checks out.

Train Problem

  • Train 1 travels at 40 kilometers/miles per hour.
  • Train 2 leaves an hour later from the same station, traveling at 50 kilometers/miles per hour.
  • After the first hour, Train 1 is 40 km/miles down the track.
  • After the second hour, Train 1 is at 80 km/miles (40 + 40).
  • In the third hour, Train 1 reaches 120 km/miles, while Train 2 reaches 100 km/miles (50 + 50).
  • After four hours, Train 1 is at 160 km/miles and Train 2 is at 150 km/miles.
  • In the fifth hour, Train 1 reaches 200 km/miles, and Train 2 also reaches 200 km/miles.
  • It takes five hours for Train 2 to overtake Train 1.
  • This is because Train 2 gains 10 miles every hour as it tries to catch up to Train 1, which had a one hour head start.

Multiplication Practice

  • 2 x 8 = 16
  • 11 x 9 = 99
  • 6 x 1 = 6
  • 9 x 4 = 36
  • 8 x 12 = 96
  • 8 x 5 = 40
  • 2 x 12 = 24
  • 6 x 2 = 12
  • 12 x 5 = 60
  • 4 x 1 = 4
  • 2 x 12 = 24
  • 8 x 4 = 32
  • 3 x 5 = 15
  • 10 x 10 = 100
  • 5 x 12 = 60
  • 4 x 10 = 40
  • 11 x 3 = 33

Physical vs. Chemical Changes

  • Physical changes alter a substance's state or form without changing its chemical composition.
  • Chemical changes involve a rearrangement of atoms, resulting in substances with different chemical properties.
  • Melting ice exemplifies a physical change where the water's chemical composition remains the same, only transitioning from solid to liquid.
  • Burning wood represents a chemical change where wood reacts with oxygen to produce carbon dioxide and water vapor.

Atomic Structure and Behavior of Matter

  • Atoms comprise protons, electrons, and neutrons.
  • Protons and neutrons reside in the nucleus, while electrons orbit in shells/energy levels.
  • The number of electrons dictates how atoms bond to form molecules.
  • Atoms with 1-2 electrons in the outer shell tend to lose or gain electrons for stability.
  • Atoms with 7-8 electrons in the outer shell tend to gain electrons for stability.
  • These aforementioned properties define how atoms react, which influences the behavior of matter.

States of Matter

  • Solid, liquid, and gas are the three states of matter.
  • Solids possess both definite shape and volume.
  • Liquids have a definite volume but no fixed shape.
  • Gases lack a definite shape or volume, filling any container.

Law of Conservation of Energy

  • Energy cannot be created nor destroyed but can change forms
  • The total amount of energy in a closed system remains constant.
  • Potential energy can convert to kinetic energy (and vice versa), but total energy remains constant.

Photosynthesis

  • Photosynthesis converts light energy into chemical energy in plants and other organisms.
  • Plants and some organisms convert light energy into chemical energy stored in glucose bonds.
  • Chlorophyll, a pigment in plant cells, absorbs light energy and plays a key role in photosynthesis.
  • Photosynthesis converts light energy into chemical energy in the form of glucose
  • Plants and other organisms use photosynthesis to convert light energy into glucose
  • The process involves absorption of light by chlorophyll pigments in the plant cell
  • Light energy powers chemical reactions that convert carbon dioxide and water into glucose and oxygen

Virus vs. Bacteria

  • Bacteria are living, single-celled organisms, whereas viruses aren't considered alive.
  • Bacteria reproduce independently and are larger and more complex compared to viruses.
  • Viruses require a host cell to reproduce.
  • Both can cause disease but interact with hosts differently.

Dominant vs. Recessive Genes

  • Dominant genes are always expressed when present.
  • Recessive genes are only expressed when paired with another recessive gene.
  • Dominant genes effectively mask the expression of recessive genes.
  • An individual's traits are determined by the combination of dominant and recessive genes.
  • Dominant traits mask the expression of recessive traits.
  • Recessive traits are expressed only without the dominant traits.
  • Offspring depends on specific allele combinations.

Mitosis

  • Cells divide and replicate through mitosis, resulting in two identical daughter cells.
  • Daughter cells have the same number of chromosomes as the parent cell.
  • Mitosis is pivotal for growth, repair, and regeneration of cells in the body.
  • Its stages include prophase, metaphase, anaphase, and telophase.

Plant Cell vs. Animal Cell

  • Plant cells have chloroplasts for photosynthesis; animal cells do not.
  • Plant cells have a cellulose cell wall for structural support; animal cells have a cell membrane.
  • The cell membrane in animal cells allows for movement and communication.

Digestion

  • Digestion breaks down food into smaller molecules for absorption.
  • The digestive system encompasses the mouth, esophagus, stomach, small intestine, and large intestine.
  • Each organ plays a specific role; enzymes and digestive juices break food down.
  • Nutrients are transported via the bloodstream, and waste is eliminated.

Renewable vs. Non-Renewable Resources

  • Renewable resources can be replenished over time.
  • Non-renewable resources cannot be replenished.
  • Solar energy, wind energy, and biomass are renewable.
  • Fossil fuels like coal, oil, and natural gas are non-renewable.

Enzymes in Biochemical Reactions

  • Enzymes regulate the speed of biochemical reactions.
  • They function as catalysts, increasing the rate of reactions without being consumed.
  • Enzymes bind to specific substrates and convert them into products.
  • Their specificity is essential for normal functioning.

Acids vs. Bases

  • Acids have a pH less than seven
  • Bases have a pH greater than seven

Acids and Bases

  • Acids have a pH less than 7, while bases have a pH greater than 7.
  • Acids release hydrogen ions (H+) in solution.
  • Bases release hydroxide ions (OH-) in solution.
  • The pH scale measures acidity or basicity; 7 is neutral.
  • Acids and bases react to form salts and water.
  • Their properties influence chemical and biological processes in living organisms.
  • Acids have a sour taste.
  • Bases have a bitter taste.

Acid and Base Reactions

  • Acids react with bases to form a neutral solution.
  • Acids have a pH less than 7.
  • Bases have a pH greater than 7.
  • Acids taste sour.
  • Bases taste bitter.
  • Mixing acids and bases results in water and salt, creating a neutral solution with a pH of 7.

Food Chains vs. Food Webs

  • A food chain is a single pathway of energy flow.
  • A food web includes multiple interconnected food chains.
  • Food chains group organisms into trophic levels based on feeding relationships.
  • Plants are producers and form the base of the food chain.
  • Primary consumers (herbivores) are followed by secondary consumers (carnivores).
  • Food webs illustrate complex feeding relationships in an ecosystem.
  • They show how energy and matter transfer between trophic levels.
  • Changes in one part of the ecosystem can affect other parts.

Greenhouse Effect

  • The Greenhouse Effect is the process by which greenhouse gases trap heat.
  • Greenhouse gases trap heat in the Earth's atmosphere.
  • It contributes to global climate change.
  • Sunlight enters the atmosphere to be absorbed and re-emitted as heat.
  • Greenhouse gasses, like carbon dioxide and methane, trap some of this heat.
  • Carbon dioxide prevents heat from escaping into space, causing Earth's temperature to rise.

Predators and Prey

  • Predators hunt other animals, while prey are hunted by other animals.
  • The predator-prey relationship is crucial within a biological community.
  • Predators rely on prey for food, and prey avoid being eaten.
  • The survival struggles between predators and prey shape behaviors and characteristics as adaptations to outsmart one another.

Genotype vs. Phenotype

  • Genotype refers to an organism's genetic makeup.
  • Phenotype is the physical appearance, expression of genes.
  • Genotype determines the potential range of traits.
  • Phenotype is the observable manifestation of those traits.
  • Genotype is the genetic makeup of an organism.
  • Phenotype is the physical expression of a trait.
  • Genotype determines the genetic information inherited from parents.
  • Phenotype reflects how genetic information is expressed through physical traits and characteristics.
  • Phenotype can be influenced by both genetic and environmental factors.

Osmosis

  • Osmosis is the movement of water from high to low concentration areas.
  • Water moves through cell membranes passively during osmosis.
  • It is a type of diffusion that balances concentration gradients.
  • Water moves from low solute concentration to high solute concentration areas.

Herbivores, Carnivores, and Omnivores

  • Herbivores eat only plants.
  • Carnivores eat only meat.
  • Omnivores eat both meat and plants.
  • Herbivores adapt to high-fiber, high-carbohydrate plant diets.
  • Carnivores adapt to high-protein, high-fat meat diets.
  • Omnivore diets vary but generally consist of mixed plant and animal products.

Meiosis

  • Meiosis is a type of cell division that produces four genetically diverse daughter cells.
  • It enables cells to reproduce sexually.
  • Chromosomes replicate and divide into four daughter cells.
  • Each contains a unique combination of genetic information.
  • This process allows for genetic diversity in offspring.

Genes and Alleles

  • A gene is a section of DNA that codes for a specific protein.
  • An allele is a variant form of that gene.
  • Genes are basic units of heredity.
  • Alleles are different versions of the same gene.
  • The combination of alleles determines expressed traits in offspring.

Prokaryotic vs. Eukaryotic Cells

  • Prokaryotic cells lack a nucleus or membrane-bound organelles.
  • Eukaryotic cells have a nucleus and membrane-bound organelles.
  • Prokaryotic cells are smaller and simpler in structure.
  • Eukaryotic cells perform specialized functions.
  • Eukaryotic cells are larger and more complex.

Respiration

  • Respiration is the process of exchanging gases between the body and the environment.
  • The respiratory system consists of the lungs, trachea, and bronchi.
  • Oxygen is taken in and transported to cells for energy production.
  • Carbon dioxide, a waste product, is released.

Autotrophs vs. Heterotrophs

  • Autotrophs produce their own energy through photosynthesis.
  • Heterotrophs obtain energy from other organisms.
  • Autotrophs, like plants, use sunlight to produce food.
  • Heterotrophs, like animals, consume other organisms or byproducts.

Evaporation

  • Evaporation is the process of water changing from liquid to gas.
  • It contributes to the water cycle and weather patterns.
  • Allows water to enter the atmosphere.
  • It contributes to cloud formation.
  • Evaporation regulates temperature by cooling surfaces.

Habitat vs. Niche

  • Habitat refers to the physical location where an organism lives.
  • A niche refers to the role an organism plays in its environment.
  • A niche includes interactions with other species.

Exothermic vs. Endothermic Reactions

  • Exothermic reactions release energy into their surroundings.
  • Endothermic reactions absorb energy from their surroundings.
  • Exothermic releases heat/light, while endothermic absorbs from surroundings.
  • This affects the conditions in which a reaction occurs.

Parasites and Hosts

  • Parasites live on or in other organisms (hosts).
  • Parasites benefit from their interactions with the host.
  • Hosts are often harmed by the parasites.
  • Interactions can sometimes be mutually beneficial.

Fermentation

  • Fermentation generates energy in the absence of oxygen.
  • It converts sugar into other molecules.
  • Important for organisms in low oxygen environments.
  • Some examples of fermentation include yeast, bacteria, and some animal muscle cells.

Physical vs. Chemical Properties

  • Physical properties describe the appearance of matter.
  • Chemical properties describe the behavior of matter in reactions.
  • Physical properties include color, texture, and melting point.
  • Chemical properties include flammability and reactivity with acids.
  • A chemical reaction involves the formation of new substances.
  • Physical change does not involve a a change in the chemical composition of the substance.
  • Chemical reactions results in a new substance with different properties.

Renewable vs. Non-Renewable Energy

  • Renewable energy sources can be replenished.
  • Non-renewable energy sources cannot be replenished.
  • Renewable includes solar, wind, hydroelectric, geothermal and biomass.
  • Non-Renewable include fossil fuels like coal, oil, and natural gas.
  • Non-renewable contributes to climate change, renewable has lower impact.

Prokaryotic vs. Eukaryotic Organisms

  • Prokaryotes lack a nucleus and membrane-bound organelles.
  • Eukaryotes have both a nucleus and membrane-bound organelles.
  • Eukaryotic is more complex and has different specialized functions.

Diffusion

  • Diffusion is the movement of particles from high to low concentration areas.
  • Occurs due to particles moving from high-energy to low areas.
  • Plays a role in gas exchange, nutrient uptake, and waste elimination.

Molecules vs. Compounds

  • Molecules are the building blocks of compounds.
  • Compounds consist of two or more different atoms.
  • A molecule is a group of two or more atoms held together by chemical bonds.
  • A compound is a substance made up of two or more different elements that are chemically combined.
  • The behavior of matter depends on the properties of molecules and compounds.
  • Different types of molecules and compounds have different physical and chemical properties.

Ionic vs. Covalent Bonds

  • Ionic bonds form through the attraction of opposite charges.
  • Covalent bonds form through the sharing of electrons.
  • An ionic bond is formed when one or more electrons are transferred from one atom to another.
  • This results in two ions with opposite charges that are attracted to each other.
  • A covalent bond is formed when two atoms share one or more pairs of electrons to achieve a stable electron configuration.
  • Ionic bonds are typically stronger than covalent bonds due to electrostatic attraction.

Arithmetic Reasoning Problem

  • The objective is to determine the total miles driven on a road trip with multiple destinations.
  • A family travels to four destinations and returns along the same route, doubling the one-way distance.
  • Destination 1 is 120 miles.
  • Destination 2 requires calculating distance using the formula: distance = rate × time, with a rate of 60 mph for 2.5 hours, totaling 150 miles.
  • Destination 3 also requires calculating distance using the formula: distance = rate × time, with a rate of 45 mph for 2 hours, totaling 90 miles.
  • Destination 4 is 50 miles.
  • The one-way total distance: 120 + 150 + 90 + 50 = 410 miles.
  • The total round trip distance is 410 miles * 2 = 820 miles
  • Solution: 820 miles.

Mathematical Knowledge Problem

  • It Focuses on translating English into mathematical expressions, as in “twice the sum of some number and 20”.
  • “Twice the sum” means multiplying 2 by the sum of a number and 20.
  • When you find “The sum of some number and 20" it can be written as x + 20.
  • "To double the sum you must perform the addition first" indicates the importance of using parentheses.
  • The correct mathematical expression is 2(x + 20).

Order of Operations in Math Problems

  • It is important to read word questions carefully, paying close attention to expressions like "twice the sum".
  • Calculate the value of the sum before doubling it.
  • "Twice the sum of x and 20" is written as 2 * (x + 20).

Sequence of Events Questions on the ASVAB

  • Sequence of events questions are hyper-analytical and focus on order.
  • Use the answer choices to guide your reading of the passage by focusing your search for specific information.
  • Eliminate answer choices based on the order of events as described in the passage.
  • Identify keywords that indicate order, like "prior," "before," and "after" to establish the sequence of events.

Honda Model Releases Example

  • 1969: The Honda N600 was the first car sold by Honda in America.
  • Prior to the Honda N600, Honda was primarily known as a motorcycle manufacturer.
  • 1974: Honda created a groundbreaking CVCC engine.
  • 1974: The Honda Civic was the first car to meet the emission standards set by the U.S. Clean Air Act.
  • Two years after 1974, Honda launched the Honda Accord.

Word Knowledge Section

  • Preparation involves familiarizing oneself with commonly used words, focusing on everyday English.
  • Vocabulary can be strengthened through practice with common words using apps and tools.
  • Learning words through definitions and example sentences is effective.

Example of Common Word

  • "Null" means most nearly invalid.
  • Example sentence: "Our contract is now null and void since you’ve breached the rights of our agreement."

Vocabulary Definitions

  • Spite: A desire to hurt, annoy, or offend someone; "malice" is the closest synonym.
  • Adorn: To make more beautiful or attractive; "decorate" is a synonym.
  • Schism: A split or division between strongly opposed sections or parties due to differences in opinion or belief; "division" is the best synonym.
  • Philanthropy: The desire to promote the welfare of others, often expressed through generous donations; "generosity" is the closest synonym.
  • Assail: To criticize someone strongly.
  • Rant: To speak or shout at length in a wild, impassioned way; "articulate" could be related depending on the rant's coherence.
  • Incisive: Accurate and sharply focused; "penetrating" is a synonym.
  • Erudite: Having or showing great knowledge or learning; opposite of "dimwitted".
  • Laden: Heavily loaded or weighed down; "burdened" is a synonym.
  • Archaic: Very old or old-fashioned; "obsolete" is the closest synonym.
  • Prohibitive: Excessively high or impossible to pay; "exorbitant" is a synonym.
  • Vernacular: The language spoken by ordinary people in a particular region; closely related to "everyday speech".
  • Glean: To extract from various sources; the opposite of "include".
  • Inexorable: Impossible to stop or prevent; "inevitable" is a synonym.
  • Shirk: To avoid or neglect a duty or responsibility; closely related to "avoid".
  • Strident: Loud and harsh; opposite of "soft".
  • Enclosure: An area sealed off with a barrier, closest in meaning to "compound".
  • Obvious: Easily understood; clear, self-evident, or apparent, closest in meaning to "apparent".
  • Halt: To bring or come to an abrupt stop, closest in meaning to "stop."
  • Mammoth: Huge, closest in meaning to "huge".
  • Makeshift: A temporary substitute, closest in meaning to "improvised".
  • Ouster: Dismissal or expulsion from a position, closest in meaning to "expulsion".
  • Chronicle: To record events in a factual way, closest in meaning to "document".
  • Deplete: To diminish in number or quantity, closest in meaning to "empty".
  • Attrition: Reducing strength through sustained attack, closest in meaning to "weakening".
  • Illusion: A thing misinterpreted by the senses, closest in meaning to "mirage".
  • Hindrance: The state of being interfered with, closest in meaning to "obstacle".
  • Petrify: To make someone unable to move through fright, closest in meaning to "terrify".
  • Loath: To feel intense dislike or disgust for, closest in meaning to "detest".
  • Destitution: Extreme poverty, closest in meaning to "poverty".
  • Impetuous: Acting quickly without thought, closest in meaning to "impulsive".
  • Abstemious: Not self-indulgent, closest in meaning to "moderate".
  • Itinerary: A plan of a route or journey, most nearly means schedule.
  • Broach: Raise for discussion.
  • Antagonist: Someone who opposes or is hostile, most nearly means adversary.
  • *Shear: Most nearly means cut.
  • Portend: A sign or warning of something momentous, most nearly means foreshadow.
  • Telemetry: The process of recording and transmitting data, most nearly means transmit.
  • Kinetic: Relates to or results from motion, most nearly means active.
  • Infraction: The violation of a law or agreement, most nearly means violation.
  • Virulent: Extremely harmful, most nearly means toxic.
  • Alacrity: Brisk and cheerful readiness, most nearly means eagerness.
  • Anachronistic: Belonging to a different period than portrayed, most nearly means archaic.
  • Tenacious: Not easily dispelled, most nearly means persistent.
  • Rectify: To put right or correct, most nearly means correct.
  • Equivocal: Uncertain or questionable in nature, most nearly means questionable.
  • Capitulate: To cease resistance and surrender, most nearly means surrender.
  • Centripetal: Refers to movement towards a center, most nearly means centralize.

Electronics Information Practice Test Overview

  • There are available study guides on ASVABapp.com
  • Self-study sufficiently prepares one for the Electronics Information subtest, eliminating the need for tutoring or boot camps.
  • This involves 30 practice questions for the Electronics Information subtest of the ASVAB and PCAT.

Question 1: Diode Function

  • Diodes permit electric current flow in only one direction (forward direction).
  • D is the answer to the practice question.

Question 2: Semiconductors Converting Electricity to Light

  • LEDs (Light Emitting Diodes) convert electrical current into light.
  • B is the answer.

Question 3: Blown Fuse Effect

  • When a fuse blows, it creates an open circuit by stopping current flow.
  • A (open) is the correct answer.

Question 4: Silicon Chips

  • Silicon chips are used for integrated circuits, such as computer processors.
  • Integrated circuit is the answer.

Question 5: Multimeter Measurement

  • A standard multimeter can measure voltage, current, and resistance but not frequency.
  • C is the correct answer, as multimeters don't measure frequency.

Question 6: Permanent Electronic Connections

  • A soldering iron (A) is used to establish permanent electronic connections

Question 7: Motor/Generator Part

  • The armature revolves in the motor of a generator.
  • The answer is C.

Question 8: Electric Current Flow Requirements

  • Electric current requires a closed circuit and a difference in voltage potential to flow.
  • C (a difference of potential) is the answer

Question 9: Electronic Symbol Identification

  • The symbol in the question represents a transformer.

Question 10: Power Line Current Type

  • Power lines utilize alternating current (AC).
  • A is the answer.
  • Alternating current (AC) is more efficient for long-distance power transmission.

Question 11: AC Definition

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

ASVAB Electronic Information
16 questions
ASVAB Vocabulary Flashcards
50 questions
Use Quizgecko on...
Browser
Mobile App
Open
Browser
Browser