GED Math Practice Test 1

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Questions and Answers

What is the cost of gas for driving 250 miles if it cost $50 for 500 miles?

  • $12.50 (correct)
  • $75
  • $25
  • $50

By what percentage was the price of the laptop decreased from $800.00 to $680.00?

  • 15% (correct)
  • 13%
  • 12.5%
  • 17.5%

What is the y-intercept of the linear function that passes through the points (3,2) and (−2, −4)?

  • 8/5
  • -1
  • -2 (correct)
  • 5/8

What equation can be used to find the volume V of a cylinder-shaped stone with a height of 15 inches and a diameter of 8 inches?

<p>V = π(4)²(15) (C)</p> Signup and view all the answers

Which set of measurements could represent the side lengths of a right triangle?

<p>5m, 12m, 13m (B)</p> Signup and view all the answers

Which function can be used to find the total amount Mark is paid in a month if he drives x miles, given his June and July earnings?

<p>y = 2.50x + 2,075 (A)</p> Signup and view all the answers

What equation can be used to determine the value of y for angles A and B if angle A measures 35° and they are complementary?

<p>35 + (6y – 11) = 90 (D)</p> Signup and view all the answers

What is the average weight of all 50 students in the class if 20 girls average 60 kg and 30 boys average 62 kg?

<p>61 kg (A)</p> Signup and view all the answers

Which function can be used to find t, the total number of liters of water in the tank after d days if the initial amount is 60 liters and it increases by 3 liters per day?

<p>t = 3d + 60 (B)</p> Signup and view all the answers

Which of the following coordinates could belong to the points situated on the line represented by the equation 3x - y = 5?

<p>(2,1) (C), (1,−2) (D)</p> Signup and view all the answers

If the area of a lake is 6,750,000 square meters, how is this number written in scientific notation?

<p>6.75 × 10⁶ (B)</p> Signup and view all the answers

What is the correct total distance the car traveled in 10 hours if it traveled 40km, 45km, 50km, 35km, 55km in the first five hours and 50km/h for the next five hours?

<p>450 km (D)</p> Signup and view all the answers

Which statement is not true for the function g(x) = 3x² − 6x?

<p>The axis of symmetry of the function g is y = −3. (D)</p> Signup and view all the answers

What could be the possible new average if an eighth number, greater than 50, is added to a set of seven numbers with a mean of 35?

<p>37 (A), 36 (C)</p> Signup and view all the answers

How many positive integers satisfy the inequality x + 5 < 21?

<p>14 (B)</p> Signup and view all the answers

How many packages out of 3,000 should be predicted to have a missing item if, in a sample of 150 packages, eight packages had a missing item?

<p>180 (A)</p> Signup and view all the answers

What part of the two pizzas was left after William and Ella ate?

<p>5/8 (C)</p> Signup and view all the answers

What is the length of the dress in the sketch, in centimeters?

<p>120 cm (A)</p> Signup and view all the answers

Which measurement is closest to the volume of Mount Kilimanjaro in cubic miles?

<p>509 mi³ (B)</p> Signup and view all the answers

Which set of ordered pairs represents a function where y is a function of x?

<p>{(-7,2.9), (-15,5.9), (-15,8.9), (-7,11.9)} (D)</p> Signup and view all the answers

Which loan option would result in the least amount of total interest paid by a customer who borrows $12,500 to buy a car?

<p>A 6-year loan with a 4.7% annual simple interest rate (A)</p> Signup and view all the answers

What equation best represents the relationship between the age of a car and its value over a 12-year period?

<p>y = -0.004x + 11,000 (C)</p> Signup and view all the answers

What is the height of the washing machine box in feet if the total surface area is 126 square feet?

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

What value of x satisfies the equation $ \frac{48}{6} = \frac{5}{x-1} $?

<p>$ \frac{13}{4} $ (C)</p> Signup and view all the answers

What is the length of side BC in right triangle ABC with legs AB = 9 cm and AC = 12 cm?

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

Which pair of values for x and y satisfies the system of equations: x + 4y = 10 and 5x + 10y = 20?

<p>x = 3, y = 2 (D)</p> Signup and view all the answers

Calculate the result of the expression: −18 + 6 × (−5) − [4 + 22 × (−4)] ÷ 2 + 8.

<p>−28 (D)</p> Signup and view all the answers

How does the equation v = 5t + 2 describe the car's velocity?

<p>From a starting velocity of 2 meters per second, the car is accelerating at a rate of 5 meters per second per second. (D)</p> Signup and view all the answers

If you drive at an average speed of 70 miles per hour for a 490-mile journey, how long will it take to arrive?

<p>7 hours (C)</p> Signup and view all the answers

What is the volume of a cylinder with height 12 cm and radius 5 cm?

<p>942 cm³ (B)</p> Signup and view all the answers

At the end of 4 years, which savings account gives Jacob more interest: Account A at 3.5% simple interest or Account B at 4.1% compounded annually?

<p>Account B would earn Jacob about $69 more interest than Account A. (D)</p> Signup and view all the answers

Which of the following statements about the journey at an average speed of 70 miles per hour for 490 miles is accurate?

<p>It will take precisely 7 hours. (D)</p> Signup and view all the answers

Flashcards

Right Triangle Side Length

Finding the length of the third side of a right triangle given the lengths of the other two sides using the Pythagorean theorem (a² + b² = c²).

System of Equations

A set of two or more equations with the same variables, where a solution is a set of values that satisfy all the equations in the system.

Order of Operations

A set of rules for evaluating expressions, typically following the PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) order.

Constant Acceleration

Acceleration of an object at a fixed rate.

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Calculating Time Taken

How to determine the time required to travel a certain distance at a specific average speed using the equation: Time = Distance / Speed.

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Cylinder Volume

Calculating the volume of a cylinder using the formula: Volume = π × radius² × height.

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Simple vs. Compound Interest

Compare earnings from a saving account with simple interest (interest only earned on the initial principal) vs compound interest (interest earned on the principal plus any accumulated interest).

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Solving Systems of Linear Equations

Finding the values of the variables (e.g., x, y) that make a set of linear equations true.

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Cost of Gas (variable)

The cost of gas is directly related to the distance driven.

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Percentage Decrease

The amount of reduction in price, calculated as a percentage of the original price.

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Y-intercept

The point where a graph crosses the y-axis.

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Perimeter of a Rectangle

The total distance around the outside of a rectangle.

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Cylinder Volume

The space inside a cylinder.

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Right Triangle Side Lengths

Sides that, when squared and summed together, equal the squared value of the hypotenuse

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Linear Function (Rate)

A function with a constant rate of change, forming a straight line.

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Complementary Angles

Two angles that add up to 90 degrees.

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Average Weight Calculation

Total weight divided by the number of items (people in this case).

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Pizza Fraction Left

Find the combined pizza fraction remaining after partially consuming two pizzas, each with a different fraction eaten.

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Scale Drawing Length (cm)

Calculate the length of a dress in a scale drawing, given the actual length and the scale of the drawing.

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Mount Kilimanjaro Volume

Estimate the volume of a cone-shaped mountain, given its diameter and height.

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Function Ordered Pairs

Identify an ordered-pair set that represents a function where y depends on x.

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Combined Figure Area

Calculate the area of a figure made up of a triangle and trapezoid.

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Least Interest Loan

Determine the loan option with the lowest total interest paid for a $12,500 car loan.

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Car Value Equation

Find the equation that best represents a car's value over 12 years (graph provided).

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Average of Numbers

Calculate an unknown value (x) in a set of numbers when given their average.

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Equation of a line (slope-intercept form)

A linear equation written as y = mx + b, where m is the slope and b is the y-intercept.

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Equation for increasing water in a tank

t = 3d + 60, where t is the total liters and d is the days.

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Smallest diagonal length

Finding the shortest TV screen diagonal from given options (W, X, Y, Z).

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Scientific notation of area

Expressing a large number like 6,750,000 in the format a × 10^b, where 1 ≤ a < 10 and b is an integer.

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Points on a line

Determining if given coordinates satisfy a linear equation, like 3x - y = 5.

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Solving for x

Finding the value of 'x' in an equation with variables and numbers.

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Axis of Symmetry of a function

A vertical line that divides the graph of a function into two mirror images.

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Total Distance Traveled

Calculating the total distance based on given initial speeds/time, and average speed during later time periods.

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Study Notes

GED Math Practice Test 1 - Questions and Answers

  • Question 1: A right triangle has legs of length 9 cm and 12 cm. Find the length of the third side.
    • Correct answer: 15 cm
  • Question 2: Find the values of x and y that satisfy the system of equations: x + 4y = 10 5x + 10y = 20
    • Correct answer: x = 3, y = 2
  • Question 3: Calculate the following expression: -18 + 6 × (-5) - [4 + 22 × (-4)] ÷ 2 + 8 = ?
    • Correct answer: -76
  • Question 4: A car accelerates from rest at a constant rate. The equation v = 5t + 2 represents this situation. What best describes the car's velocity?
    • Correct answer: From a starting velocity of 2 meters per second, the car is accelerating at a rate of 5 meters per second per second.
  • Question 5: A car is travelling at an average speed of 70 miles per hour. How many hours will it take to travel 490 miles?
    • Correct answer: 7 hours
  • Question 6: A cylinder has a height of 12 cm and a radius of 5 cm. What is its volume?
    • Correct answer: 942 cm³
  • Question 7: Jacob deposits $2,000 into a savings account. Account A pays 3.5% simple annual interest. Account B pays 4.1% interest compounded annually. Which statement is true after 4 years?
    • Correct answer: Account B would earn Jacob about $106 more interest than Account A.
  • Question 8: The cost of gas varies directly with distance driven. $50 was spent to drive 500 miles. What was the cost of gas for driving 250 miles?
    • Correct answer: $25
  • Question 9: The price of a laptop decreased from 800to800 to 800to680. What was the percentage decrease?
    • Correct answer: 12.5%
  • Question 10: A linear function passes through points (3,2) and (-2,-4). Find the y-intercept.
    • Correct answer: 8/5
  • Question 11: A rectangular yard has a perimeter of 72 meters. Its width is twice its length. What is the length?
    • Correct answer: 12 meters
  • Question 12: A cylinder-shaped stone has a height of 15 inches and a diameter of 8 inches. What formula is used to find the volume?
    • Correct Answer: V = π(4)²(15)

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