ATI TEAS 7
TEAS Practice Test Math
1. Which of the following statements demonstrates a negative correlation between two variables?
- A. People who play baseball more tend to have more hits
- B. Shorter people tend to weigh less than taller people
- C. Tennis balls that are older tend to have less bounce
- D. Cars that are older tend to have higher mileage
Correct answer: C
Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.
2. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?
- A. 24
- B. 28
- C. 36
- D. 38
Correct answer: C
Rationale: The ratio of 4:2 simplifies to 2:1. This means that for every 2 algebra problems, there is 1 data analysis problem. If there are 18 algebra problems, we can set up a proportion: 2 algebra problems correspond to 1 data analysis problem. Therefore, 18 algebra problems correspond to x data analysis problems. Solving the proportion, x = 18 * 1 / 2 = 9. Hence, there are 9 data analysis problems on the test. Therefore, the total number of data analysis problems on the test is 18 (algebra problems) + 9 (data analysis problems) = 27.
3. Which statement best describes the rate of change?
- A. Every day, the snow melts 10 centimeters.
- B. Every day, the snow melts 5 centimeters.
- C. Every day, the snow increases by 10 centimeters.
- D. Every day, the snow increases by 5 centimeters.
Correct answer: B
Rationale: The rate of change refers to how one quantity changes concerning another quantity. In this scenario, the rate of change is the amount of snow melting per day, which is 5 centimeters. This is determined by the slope of the graph, indicating a decrease in snow depth. Choices C and D incorrectly describe an increase in snow depth, while choice A exaggerates the rate of snow melting compared to the actual value of 5 centimeters per day.
4. If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?
- A. 1,050 people
- B. 1,200 people
- C. 1,100 people
- D. 1,300 people
Correct answer: A
Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.
5. Evaluate the expression -3 x 5.
- A. -15
- B. -2
- C. 2
- D. 15
Correct answer: A
Rationale: The correct answer is A, which is -15. When you multiply -3 by 5, you get -15. The negative sign in front of the 3 indicates a negative value, and when multiplied by a positive number like 5, the result remains negative. Choices B, C, and D are incorrect because they do not reflect the correct multiplication of -3 and 5.
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