the table below shows the number of books checked out from a library over the course of 4 weeks which equation describes the relationship between the

ATI TEAS 7

TEAS Practice Math Test

1. The table below shows the number of books checked out from a library over the course of 4 weeks. Which equation describes the relationship between the number of books (b) and weeks (w)?

A. b = 10w + 2
B. b = 5w + 10
C. b = 8w + 12
D. b = 4w + 20

Correct answer: B

Rationale: The relationship between the number of books and weeks is best described by the equation b = 5w + 10. This is because the initial value of books checked out is 10, which indicates that even with 0 weeks, there are already 10 books checked out. The rate at which books are checked out per week is 5, as indicated by the coefficient of w. Therefore, the correct equation should be b = 5w + 10. Choices A, C, and D are incorrect because they do not represent the correct initial value or rate of increase for the given scenario.

2. What is the product of two irrational numbers?

A. Irrational
B. Rational
C. Irrational or rational
D. Complex and imaginary

Correct answer: C

Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (√2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.

3. Two even integers and one odd integer are multiplied together. Which of the following could be their product?

A. 3.75
B. 9
C. 16.2
D. 24

Correct answer: D

Rationale: When multiplying two even integers and one odd integer, the product will always be even. This is because multiplying any number of even integers will always result in an even number. Therefore, the only possible product from the given options is 24, as it is the only even number listed. Choices A, B, and C are incorrect as they are all odd numbers, and the product of two even integers and one odd integer will never result in an odd number.

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. What is the mode of the data set: 2, 3, 3, 4, 4, 4, 5?

A. 2
B. 3
C. 4
D. 5

Correct answer: C

Rationale: The mode of a data set is the value that appears most frequently. In this data set (2, 3, 3, 4, 4, 4, 5), the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the correct answer is 4. Choice A (2), B (3), and D (5) do not appear as frequently as 4 in the data set, so they are not the mode.