if sarah reads at an average rate of 21 pages in four nights how long will it take her to read 140 pages

ATI TEAS 7

TEAS Test Math Prep

1. If Sarah reads at an average rate of 21 pages in four nights, how long will it take her to read 140 pages?

A. 6 nights
B. 26 nights
C. 8 nights
D. 27 nights

Correct answer: D

Rationale: If Sarah reads 21 pages in four nights, she reads at a rate of 21 / 4 = 5.25 pages per night. To read 140 pages, she would need 140 / 5.25 = 26.67 nights. Since she cannot read a fraction of a night, it would take her 27 nights to read 140 pages, making option D the correct answer. Option A is incorrect as it does not accurately reflect the calculation. Option B is incorrect as it does not consider the fractional part of the calculation, resulting in an inaccurate answer. Option C is incorrect as it does not align with the correct calculation based on Sarah's reading rate.

2. A student gets an 85% on a test with 20 questions. How many answers did the student solve correctly?

A. 15
B. 16
C. 17
D. 18

Correct answer: C

Rationale: To determine the number of questions the student solved correctly, we need to calculate 85% of the total number of questions. This can be done by multiplying the total number of questions by 85%, which is 20 questions x 85% = 20 x 0.85 = 17 questions. Therefore, the student solved 17 questions correctly. Choice A, 15, is incorrect as it does not reflect the correct percentage of questions solved. Choice B, 16, and Choice D, 18, are also incorrect as they do not match the calculation based on the given percentage.

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

A. -42
B. -20
C. 23
D. 20

Correct answer: B

Rationale: Start by solving the multiplication and parentheses. The answer is -20.

4. What is the formula for the area of a circle?

A. A = πr²
B. A = 2πr
C. A = πd
D. A = 2πd

Correct answer: A

Rationale: The correct formula for the area of a circle is A = πr², where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. Choice B, A = 2πr, represents the circumference of a circle, not the area. Choice C, A = πd, incorrectly uses the diameter (d) instead of the radius in the formula for area. Choice D, A = 2πd, is also related to the circumference of the circle, not the area. Therefore, option A is the only correct formula for calculating the area of a circle.

5. What is the result of (6.4)(2.8) ÷ 0.4? Which of the following is correct?

A. 16.62
B. 17.92
C. 41.55
D. 44.8

Correct answer: D

Rationale: To simplify the expression, first multiply 6.4 by 2.8 to get 17.92. Then, divide the result by 0.4 to find the final answer. Therefore, (6.4)(2.8) ÷ 0.4 equals 44.8. Choices A, B, and C are incorrect because they do not represent the correct result of the given expression.