TEAS Exam Math Practice

Correct Answer: B

Rationale: To simplify the expression, we follow the order of operations (PEMDAS). First, we calculate the exponents: 52(3) + 3(-2)^2 / 4 + 9 - 2(5-8) = 156 + 3(4) / 4 + 9 - 2(3) = 156 + 12 / 4 + 9 - 6. Then, we perform division and multiplication from left to right: 156 + 3 + 9 - 6 = 168. Therefore, the correct answer is 87/19. Choices A, C, and D are incorrect as they do not correctly simplify the expression following the order of operations.

Correct Answer: C

Rationale: To solve the equation 5(4x - 5) = (3/2)(2x - 6), first distribute on both sides to get 20x - 25 = 3x - 9. Then, move x terms to one side and constants to the other side to get 17x = 16. Finally, divide by 17 to find x = 16/17, which is the correct answer (C). The other choices are incorrect because they do not yield the correct value of x when substituted back into the original equation.

Correct Answer: D

Rationale: To solve the equation 8x - 6 = 3x + 24, first, simplify both sides. Subtract 3x from both sides to get 5x - 6 = 24. Then, add 6 to both sides to get 5x = 30. Finally, divide by 5 to find x = 6. This is the correct solution as it satisfies the original equation. Choice A, B, and C are incorrect as they do not result in a true statement when substituted back into the equation.

Correct Answer: C

Rationale: To determine the correct order from least to greatest, convert all fractions to decimals: - (1/7) = 0.142857 - 0.125 - (6/9) = 0.666666 - 0.60 The correct order is 0.125, (1/7), 0.60, (6/9) because 0.125 is the smallest, followed by (1/7), then 0.60, and finally (6/9) which is equivalent to 0.666666. Other choices are incorrect because they do not follow the increasing order of magnitude. Choice A has the fractions in a different order, choice B has 0.60 in the wrong position, and choice D has the fractions in the wrong order. Therefore, choice C is the correct answer.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.