TEAS Exam Math Practice

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 subtract numbers in scientific notation, we need to ensure the exponents are the same. First, convert 2.98 x 10^2 to 0.298 x 10^3. Then, subtract 4.71 x 10^3 - 0.298 x 10^3 = 4.412 x 10^3. Therefore, the correct answer is D. Choices A, B, and C are incorrect as they do not reflect the correct result of the subtraction operation.

Correct Answer: C

Rationale: To round 2.7834 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is 5 or greater, we round up the tenths place digit by 1. Therefore, 2.7834 rounded to the nearest tenth is 2.8 (Choice C). Choice A (2.7) is incorrect because rounding down would be incorrect based on the given number. Choice B (2.78) is incorrect because rounding to the nearest tenth requires looking at the hundredths place. Choice D (2.88) is incorrect as it doesn't follow the rounding rules for the nearest tenth.

Correct Answer: B

Rationale: The correct answer is B because when simplifying the expression 14 - 7 + (-7), we get 14 - 7 - 7 = 0, which is not a negative value. A: (-3)(-1)(2)(-1) simplifies to 6, which is a positive value. C: 7 - 10 + (-8) simplifies to -11, a negative value. D: -5(-2)(-3) simplifies to -30, a negative value. Thus, B is the only choice that results in a non-negative value.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.