ATI TEAS Test Practice Mathematics Flashcards
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Questions and Answers

Every day, the snow melts how many centimeters?

  • 10 centimeters
  • Increases by 5 centimeters
  • 5 centimeters (correct)
  • Increases by 10 centimeters

    • What are the dependent and independent variables in the graph below?

  • Dependent: Nurses, Independent: Physicians
  • Dependent: Average hours worked per week, Independent: Hospital Staff (correct)
  • Dependent: Physicians, Independent: Nurses
  • Dependent: Hospital Staff, Independent: Average hours worked per week

    • How many milligrams are in 5 grams?

  • 50 mg
  • 5000 mg (correct)
  • 500 mg
  • 0.005 mg

    • 9.5% of the people in a town voted for a certain proposition. If the town's population is 51,623, about how many people in the town voted for the proposition?

    <p>5,000</p> Signup and view all the answers

    A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at an average speed of 80 mph, how long will it have been since he began the trip?

    <p>6.97 hours</p> Signup and view all the answers

    If the volume of a rectangular solid is 200 cubic feet, which of the following equations may be used to find h?

    <p>25h = 200</p> Signup and view all the answers

    Which of the following could be the product of two even integers and one odd integer?

    <p>24</p> Signup and view all the answers

    If there are 80 mg/0.8 mL in Acetaminophen Concentrated Infant Drops, how many milliliters should a child receive for a proper dosage of 240 mg?

    <p>2.4 mL</p> Signup and view all the answers

    Using the chart below, which equation describes the relationship between x and y?

    <p>y = 3x</p> Signup and view all the answers

    On a highway map, if the scale indicates that 1 inch represents 45 miles and the distance on the map is 3.2 inches, how far is the actual distance?

    <p>144 miles</p> Signup and view all the answers

    Jeremy has already saved $15. He plans to save $28 per month. Which equation represents the amount of money he will have saved?

    <p>y = 15 + 28x</p> Signup and view all the answers

    Given the double bar graph shown below, which statement is true?

    <p>The number of trees planted by the Junior is negatively skewed, while the number of trees planted by the Seniors is positively skewed.</p> Signup and view all the answers

    Solve for x: 4 = 2x + 6

    <p>x = -4</p> Signup and view all the answers

    Dr. Lee saw that 30% of all his patients developed an infection after taking a certain antibiotic. What percentage of Dr. Lee's patients were hospitalized after taking the antibiotic?

    <p>1.5%</p> Signup and view all the answers

    A patient requires a 30% increase in the dosage of her medication. If her current dosage is 270 mg, what will her dosage be after the increase?

    <p>351 mg</p> Signup and view all the answers

    Which of the following describes a graph that represents a proportional relationship?

    <p>The graph has a slope of 2,000 and a y-intercept of 0</p> Signup and view all the answers

    How many students passed the exam if 1/2 of the students had to take the exam and 3/5 of those passed, with a class of 200 students?

    <p>60</p> Signup and view all the answers

    If each roommate puts aside money based on a 1:3 ratio of savings to rent, and pays $270 in rent, how much does he save each month?

    <p>$90</p> Signup and view all the answers

    Estimate the total amount of money three roommates used to purchase a birthday gift if one roommate donated $12.03, the second contributed $11.96, and the third gave $12.06?

    <p>$36</p> Signup and view all the answers

    Which expression can be used to determine the distance the bike rolled from the first mark to the fourth mark, given the tire diameter is 27 inches?

    <p>3(27π)</p> Signup and view all the answers

    What percentage of rainfall received in October is part of the total rainfall received in summer and autumn months?

    <p>17.7%</p> Signup and view all the answers

    Mathew must earn more than 96 points on his entrance exam. If each question is worth 3 points, how many questions can Mathew answer incorrectly?

    <p>0 ≤ x &lt; 8</p> Signup and view all the answers

    Which of the following best represents the surface area of the cylinder?

    <p>1,507.2 cm²</p> Signup and view all the answers

    A lab technician took 500 milliliters of blood and used 1/6 of it for tests. How many milliliters were used for tests?

    <p>83.33</p> Signup and view all the answers

    Hannah spends at least $16 on 4 packages of coffee. Which inequality represents the possible costs?

    <p>16 ≤ 4p</p> Signup and view all the answers

    Which of the following describes a proportional relationship?

    <p>Kevin drives 65 miles per hour</p> Signup and view all the answers

    What was the total price of Veronica's new car given the base price was $40,210 and additional expenses?

    <p>$48,443</p> Signup and view all the answers

    Simplify the following expression: 13 - 3/22 * 11

    <p>7/22</p> Signup and view all the answers

    Which statement is true regarding vacuum cleaners sold by a company per month?

    <p>The mode is equal to the range</p> Signup and view all the answers

    If Lauren must travel 1,480 miles over 5 days, how many miles should she drive per day?

    <p>300 miles</p> Signup and view all the answers

    Order the groups of doctors from largest to smallest based on their prescribing habits.

    <p>Group Y, Group X, Group Z</p> Signup and view all the answers

    Solve for y: 2y + 5 = 25

    <p>y = 100</p> Signup and view all the answers

    Solve for x: 3(x - 1) = 2(3x - 9)

    <p>x = 5</p> Signup and view all the answers

    Dr. Lewis worked 20 shifts in January, three times as many in February, and half the number of shifts in March. Which equation describes the number of shifts in March?

    <p>shifts = (20)(3)(1/2)</p> Signup and view all the answers

    A book has a width of 2.5 decimeters. What is the width of the book in centimeters?

    <p>25 centimeters</p> Signup and view all the answers

    Robert scores three new clients every eight months. After how many months has he secured 24 new clients?

    <p>64</p> Signup and view all the answers

    Simplify the following expression: 5 * 3 / 9 * 4

    <p>5/12</p> Signup and view all the answers

    What is the independent variable in the graph?

    <p>Nurse specialities</p> Signup and view all the answers

    How many centimeters are in 7 meters?

    <p>7 m = 700 cm</p> Signup and view all the answers

    About how long is the average human eyelash?

    <p>1 centimeter</p> Signup and view all the answers

    Which of the following is the percentage equivalent of 0.0016?

    <p>0.16%</p> Signup and view all the answers

    Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?

    <p>28 miles</p> Signup and view all the answers

    On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm². What is the actual area of the room?

    <p>30 m²</p> Signup and view all the answers

    Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost?

    <p>$2.25</p> Signup and view all the answers

    Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the approximate average of her scores?

    <p>89</p> Signup and view all the answers

    Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the median of Pernell's scores?

    <p>89</p> Signup and view all the answers

    Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid?

    <p>$330.40</p> Signup and view all the answers

    Simplify the following expression: (2/3) / (4/15) x (5/8)

    <p>1 9/16</p> Signup and view all the answers

    Simplify the following expression: 0.0178 x 2.401

    <p>0.0427378</p> Signup and view all the answers

    Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase?

    <p>30c + 5p &lt; 100</p> Signup and view all the answers

    Solve for x: 4(2x-6) = 10x-6

    <p>x = -9</p> Signup and view all the answers

    Erma wants to buy two sweaters for $50 and $44 with a 25% discount on the second item. What will she spend?

    <p>$83</p> Signup and view all the answers

    Simplify the following expression: 1.034 + 0.275 - 1.294

    <p>0.015</p> Signup and view all the answers

    The graph shows weekly church attendance in Ellsford. Approximately what percentage of church-goers in Ellsford attend Catholic Churches?

    <p>28%</p> Signup and view all the answers

    Jerry needs to load four pieces of equipment onto a factory elevator with a weight limit of 800 pounds. Jerry weighs 200 pounds. What would the average weight of each item have to be?

    <p>150 pounds</p> Signup and view all the answers

    Simplify the following expression: 4 (2/3) / 1 (1/6)

    <p>4</p> Signup and view all the answers

    Solve for x: 2x + 4 = x - 6

    <p>x = -10</p> Signup and view all the answers

    Solve for x: 2x - 7 = 3

    <p>x = 5</p> Signup and view all the answers

    What kind of association does the scatter plot show?

    <p>no association</p> Signup and view all the answers

    If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kg is approximately equal to 2.2 pounds)

    <p>123 pounds</p> Signup and view all the answers

    Which of the following is listed in order from least to greatest?

    <p>-8, -7 4/5, -3/4, 18%, 0.25, 2.5</p> Signup and view all the answers

    Between the years 2000 and 2010, the number of births in the town of Daneville increased from 1432 to 2219. Which of the following is the approximate percent of increase in the number of births during those ten years?

    <p>55%</p> Signup and view all the answers

    Simplify the following expression: (1/4) x (3/5) / 1 (1/8)

    <p>2/15</p> Signup and view all the answers

    While at the local ice skating rink, Cora slipped and fell 20 of the 27 times she skated around the rink. What approximate percentage of the times around the rink did Cora not slip and fall?

    <p>26%</p> Signup and view all the answers

    A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?

    <p>21.2 in³</p> Signup and view all the answers

    Simplify the following expression: 3 (1/6) - 1 (5/6)

    <p>1 (1/3)</p> Signup and view all the answers

    Four more than a number x is 2 less than 1/3 of another number y. Which of the following algebraic equations correctly represents this sentence?

    <p>x + 4 = 1/3y - 2</p> Signup and view all the answers

    Margery is planning a vacation. Her round-trip airfare is $572, hotel $89 per night for five nights, $150 for sightseeing, and $250 for meals. After a 10% discount on hotel after the first night, what is her expected total vacation cost?

    <p>$1381.40</p> Signup and view all the answers

    Given the double bar graph, which of the following statements is true?

    <p>Group A is positively skewed, while Group B is approximately normal.</p> Signup and view all the answers

    A gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. How many square inches of wrapping paper are needed to wrap the box?

    <p>488</p> Signup and view all the answers

    After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. What percentage of the funds was donated to support construction costs?

    <p>23%</p> Signup and view all the answers

    Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8.

    <p>7/8, 10/9, 7/3, 9/2</p> Signup and view all the answers

    Simplify the following expression: (2/7) / (5/6)

    <p>12/35</p> Signup and view all the answers

    Simplify the following expression: 7 + 16 - (5 + 6 x 3) - 10 x 2.

    <p>-20</p> Signup and view all the answers

    The table shows the cost of renting a bicycle for 1, 2, or 3 hours. Which answer choice shows the equation that best represents the data?

    <p>C = 3.60h</p> Signup and view all the answers

    Chan receives a bonus from his job. If he pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt, what was the total amount of Chan's bonus?

    <p>$4000</p> Signup and view all the answers

    Within a certain nursing program, 25% of the class wanted to work with infants, 60% with the elderly, and 10% to assist GPs. What fraction of the class wanted to work with the elderly?

    <p>3/5</p> Signup and view all the answers

    Veronica creates the holiday schedule for her hospital's neonatal unit. If 35% of her staff is unavailable and 20% of the available staff is certified, what percentage of the TOTAL staff is certified and available to work?

    <p>13%</p> Signup and view all the answers

    A patient requires a 30% decrease in medication dosage from 340 mg. What will his dosage be after the decrease?

    <p>238 mg</p> Signup and view all the answers

    A study about anorexia was conducted on 100 patients. If 70% were women and 10% of men were overweight as children, how many male patients were NOT overweight as children?

    <p>27</p> Signup and view all the answers

    University Q has a competitive nursing program. If 3/4 of students major in nursing and 1/5 of those complete the program, how many students will complete it from a class of 100?

    <p>15</p> Signup and view all the answers

    Four nurse midwives each contribute $2000 per month. The first uses 2/5 for rent and utilities, saving half of the remainder. How much does she spend on medical supplies each month?

    <p>$600</p> Signup and view all the answers

    The second midwife allocates 1/2 of her funds to an office administrator and another 1/10 for office supplies. What is the total fraction of her budget spent on these expenses?

    <p>3/5</p> Signup and view all the answers

    A mathematics test has a ratio of data analysis problems to algebra problems of 4:2. If there are 18 algebra problems, how many data analysis problems are on the test?

    <p>36</p> Signup and view all the answers

    Jonathan pays a $65 monthly flat rate for his cell phone and $0.12 per roaming minute. Which expression represents his monthly bill for x roaming minutes?

    <p>65 + 0.12x</p> Signup and view all the answers

    Robert plans to drive 1,800 miles. If his car gets 30 miles per gallon and his tank holds 12 gallons, how many tanks of gas will he need?

    <p>5 tanks of gas</p> Signup and view all the answers

    A patient was taking 310 mg of antidepressant daily. After a reduction by a fifth and then a further 20 mg, what is the final dosage?

    <p>228 mg</p> Signup and view all the answers

    A lab technician took 100 hairs from a patient. He used 1/7 of them for a drug test. How many hairs were used for the drug test?

    <p>14.29</p> Signup and view all the answers

    What kind of association does the scatter plot show?

    <p>negative, linear association</p> Signup and view all the answers

    Joshua must earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points. Which inequality can determine how many questions he must answer correctly?

    <p>4x &gt; 92</p> Signup and view all the answers

    Susan celebrated her first nursing job by buying a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of Susan's outfit?

    <p>$144.65</p> Signup and view all the answers

    Given the histograms, which statement is true?

    <p>Group B is negatively skewed and has a mean more than Group A.</p> Signup and view all the answers

    Complete the following equation: 2 + (2)(2) - 2 ÷ 2 = ?

    <p>5</p> Signup and view all the answers

    Which of the following is listed in order from least to greatest?

    <p>-2, -3/4, -0.45, 3%, 0.36</p> Signup and view all the answers

    As part of a study, a set of patients will be divided into three groups: 4/15 in Group Alpha, 2/5 in Group Beta, and 1/3 in Group Gamma. Order the groups from smallest to largest.

    <p>Group Alpha, Group Gamma, Group Beta</p> Signup and view all the answers

    Solve for x: 2x + 6 = 14.

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

    In the 2008 Olympic Games, what was the mean time for women who ran the Women's 200m event with the following results in seconds: 22.33, 22.50, 22.50, 22.61, 22.71, 22.72, 22.83, 23.22?

    <p>22.68 sec</p> Signup and view all the answers

    During week 1, Nurse Cameron works 5 shifts. In week 2, she worked twice as many and added 4 shifts in week 3. Which equation describes the number of shifts in week 3?

    <p>Shifts = (2)(5) + 4</p> Signup and view all the answers

    Simplify the following expression: (3)(-4) + (3)(4) - 1.

    <p>-1</p> Signup and view all the answers

    How many cubic inches of water could this aquarium hold if it were filled completely?

    <p>3600 cubic inches</p> Signup and view all the answers

    Study Notes

    Mathematics Concepts and Problems

    • The percentage equivalent of decimal numbers can be determined; for instance, 0.0016 equals 0.16%.
    • Converting metric distances to miles; 45 kilometers is approximately 28 miles.
    • Understanding scale in floor plans: a 1:100 scale means 30 cm² on a plan equals 30 m² in actual area.
    • Solving systems of equations can determine the cost of individual items; for example, a box of crackers costs $2.25 based on purchasing combinations.
    • Calculating averages and medians from a set of numbers; Pernell's average score is 89, and the median is also 89.
    • Discounts can significantly affect purchase prices; a 30% discount on a $472 TV makes it $330.40.
    • Simplifying fractions and mixed numbers is essential; for example, (2/3) / (4/15) X (5/8) simplifies to 1 9/16.
    • Basic multiplication of decimals results in precise calculations; for example, 0.0178 X 2.401 equals 0.00427378.

    Inequalities and Algebraic Equations

    • Understanding inequalities for budget constraints: Tom can spend based on the inequality 30c + 5p < 100 where c = cartridges and p = paper.
    • Solving for variables requires inverse operations; for example, in 4(2x-6) = 10x-6, x = -9.
    • Cost management in purchases can calculate totals, such as Erma's total cost of two sweaters after applying a discount.
    • Setting up algebraic equations based on verbal statements: e.g., "Four more than a number, x, is 2 less than 1/3 of another number, y" translates to x + 4 = 1/3y - 2.

    Statistical Concepts

    • Evaluating percentages in different distributions, such as church attendance; 28% of attendees go to Catholic churches.
    • Understanding population changes through percentage increase; births in Daneville rose approximately 55% from 1432 to 2219.
    • Analyzing data sets for average, median, and representation of groups; nursing program completion can be assessed based on historical data (15 out of 100 complete).

    Practical Applications

    • Financial planning and budgeting affect decisions; Margery’s expected vacation cost totals about $1381.40 after a 10% discount.
    • Real-world problem solving includes calculating weight limits; Jerry can average 150 pounds per item for safe elevator operation.
    • Understanding volume in geometry helps with practical objects; a can with a radius of 1.5 inches holds about 21.2 in³.
    • Evaluating scales of measurement translates into practical understanding, such as converting kilograms to pounds, 56 kg is roughly 123 pounds.

    Problem Solving Techniques

    • Understanding exponents and bases in mathematical expressions; how to set up problems involving ratios of integers and their products.
    • Using systematic approaches to solve for unknown variables; e.g., converting equations and solving for x or y based on given conditions.
    • Verifying math solutions through reverse calculations; after reductions in medication dosages, confirming effects.

    Miscellaneous Facts

    • Upon observing data through histograms, one may determine skewness in distributions and how these relate to group means.
    • Rational numbers can be converted and arranged based on size; for instance, ordering fractions or percentages.

    Note to Self

    • Familiarize with key terms such as means, medians, percentages, inequality, and exponents to enhance problem-solving skills in mathematics. Practice a variety of problems to solidify understanding of mathematical concepts and applications.### General Information
    • Acetaminophen Concentrated Infant Drops contain 80 mg of the drug per 0.8 mL.
    • A proper dosage for a four-year-old child is calculated to be 240 mg, requiring 2.4 mL of the medicine.

    Mathematical Relationships

    • From the data points (x, y): (2, 6), (3, 9), (4, 12), (5, 15), the relationship is described by the equation y = 3x.
    • A highway map scale indicates that every 1 inch corresponds to 45 miles; thus, 3.2 inches equals 144 miles.
    • Andy's savings pattern is modeled by the equation y = 15 + 28x, indicating initial savings plus monthly contributions.

    Statistical Analysis

    • A double bar graph showing tree plantings indicates that Juniors have negatively skewed data while Seniors are positively skewed.
    • In terms of infection rates, Dr. Lee found that 1.5% of his patients were hospitalized after antibiotic treatment.

    Graphical Representations

    • A graph with a slope of 2,000 and a y-intercept of 0 indicates a proportional relationship.
    • For a cylinder, the surface area is calculated to be 1,507.2 cm².

    Practical Situations

    • In a class of 200 nursing students, 60 passed the exam after 3/5 of those who took it passed.
    • Each month, a roommate contributes $90 towards a savings account relative to paying $270 in rent.

    Money and Cost Issues

    • Total collected for a birthday gift by three roommates is estimated at $36.
    • Veronica's car purchase totals $48,443 after additional upgrades beyond the base price.

    Units and Measurements

    • Conversion from 2.5 decimeters to centimeters results in a width of 25 centimeters.
    • 7 meters converts to 700 centimeters, an important metric conversion fact.

    Problem Solving

    • Simplifying 13 - 3 yields 7/22; similarly, for another expression, it results as 5/12.
    • A problem involving shifts worked by Dr. Lewis concludes that she worked shifts according to the equation (20)(3)(1/2).

    Time and Client Acquisition

    • Robert secures 24 new clients after a duration of 64 months at a rate of three clients every eight months.

    Miscellaneous Facts

    • Average human eyelashes measure approximately 1 centimeter in length.

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    Prepare for the ATI TEAS test with these mathematics flashcards. Each card focuses on essential math concepts, such as percentages and metric conversions, providing clear answers to help reinforce your knowledge. Boost your confidence and test readiness with targeted practice questions.

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