TEAS Exam Math Practice

Correct Answer: D

Rationale: To solve the equation (5/4)x = 20, we first multiply both sides by 4/5 to isolate x. So, x = 20 * 4/5 = 16. Therefore, the correct answer is D. Option A, 8, is incorrect because x is not equal to 8. Option B, 24, and option C, 32, are also incorrect as they do not satisfy the given equation.

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 3x + 4 = 19, we first isolate the variable x. Subtract 4 from both sides: 3x = 15 Then, divide by 3 on both sides: x = 5 Therefore, the correct answer is C: x = 5. Choice A is incorrect as 3(3) + 4 = 13, not 19. Choice B is incorrect as 3(4) + 4 = 16, not 19. Choice D is incorrect as 3(6) + 4 = 22, not 19.

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: D

Rationale: To solve the equation (5/4)x = 20, we first multiply both sides by 4/5 to isolate x. So, x = 20 * 4/5 = 16. Therefore, the correct answer is D. Option A, 8, is incorrect because x is not equal to 8. Option B, 24, and option C, 32, are also incorrect as they do not satisfy the given equation.