Which of the following lists is in order from least to greatest? 2−1 , −(4/3), (−1)3 , (2/5)

Questions 38

ATI TEAS 7

ATI TEAS 7 Test Bank

TEAS Exam Math Practice Questions

Question 1 of 5

Which of the following lists is in order from least to greatest? 2−1 , −(4/3), (−1)3 , (2/5)

Correct Answer: D

Rationale: To determine the correct order from least to greatest, start by simplifying the expressions. 2^(-1) = 1/2 and (-1)^3 = -1. Now, comparing the values, (-4/3) is the most negative, followed by -1, then (2/5), and finally 1/2. Therefore, the correct order is (-4/3), (-1)^3, (2/5), 2^(-1), making choice D the correct answer. Choices A, B, and C are incorrect because they do not follow the correct order from least to greatest as determined by comparing the values of the expressions after simplification.

Question 2 of 5

Simplify the expression. Which of the following is the value of x? (5(4x - 5) = (3/2)(2x - 6))

Correct Answer: C

Rationale: To solve the given proportion 5(4x - 5) = (3/2)(2x - 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

Question 3 of 5

Solve the equation 8x − 6 = 3x + 24. Which of the following is the correct solution?

Correct Answer: D

Rationale: To solve the equation 8x − 6 = 3x + 24, start by adding 6 to both sides: 8x − 6 + 6 = 3x + 24 + 6, which simplifies to 8x = 3x + 30. Next, subtract 3x from both sides to get 5x = 30. Finally, divide both sides by 5 to solve for x: x = 6. Therefore, the correct solution is x = 6. Choices A, B, and C are incorrect because they do not result from the correct algebraic manipulation of the equation.

Question 4 of 5

A student gets 42 questions out of 48 correct on a quiz. What is the percentage of questions that the student answered correctly?

Correct Answer: D

Rationale: To find the percentage of questions answered correctly, divide the number of correct questions by the total number of questions: 42/48 = 0.875. Multiply the result by 100 to express it as a percentage, which gives 87.5%. Therefore, the correct answer is 87.50%. Choice A (1.14%) is incorrect as it does not reflect the correct percentage. Choices B (82.50%) and C (85.00%) are also incorrect as they do not align with the calculation based on the given information.

Question 5 of 5

Simplify the expression. What is the value of x? (5/4)x = 20

Correct Answer: D

Rationale: To solve for x, multiply both sides by the reciprocal of 5/4 to isolate x. (4/5)(5/4)x = (4/5)20; x = 16. Therefore, the correct answer is 32. Choice A (8), Choice B (16), and Choice C (24) are incorrect as they do not represent the correct value of x obtained after correctly simplifying the expression.

Access More Questions!

ATI TEAS Basic


$99/ 30 days

ATI TEAS Premium Plus


$150/ 90 days

Similar Questions