TEAS Test Math Prep

Correct Answer: A

Rationale: To solve the equation 2x + 8 = 0, we first isolate x by subtracting 8 from both sides. This gives us 2x = -8. Then, divide by 2 on both sides to get x = -4 (Choice A). This is the correct answer because -4 satisfies the equation. Choices B, C, and D are incorrect as they do not yield a solution that makes the equation true when substituted back into it.

Correct Answer: C

Rationale: To solve this, let's substitute x = 2 into the given equation. Starting with the equation: Now, we substitute x = 2: Therefore, . Thus, the correct answer is C: 3. Explanation for other choices: A: If x = 2, then is not equal to 1. B: If x = 2, then is not equal to 2. D: If x = 2, then is not equal to 4.

Correct Answer: A

Rationale: The correct answer is A: 2 x 4 x 4 x 2. To find the value of 6 x 12, we can break it down into simpler multiplication. 6 x 12 = 6 x (4 x 3) = (2 x 3) x (4 x 3) = 2 x 4 x 4 x 2. This shows that the value of 6 x 12 is indeed equal to 2 x 4 x 4 x 2. Explanation for why other choices are incorrect: B: 7 x 4 x 3 does not equal 6 x 12. C: 6 x 6 x 3 equals 108, not 72 (6 x 12). D: 3 x 3 x 4 x 2 equals 72, but the order of multiplication is not the same as in 6 x 12, making it incorrect.

Correct Answer: C

Rationale: To solve for b, we need to isolate b on one side. First, combine like terms: 5b - 2b = 17 + 4. This simplifies to 3b = 21. Then, divide both sides by 3 to find b = 7. Choice C is correct. Choices A, B, and D are incorrect as they do not match the correct calculation result.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - True Value| / True Value) * 100%. In this case, the measured width is 36 inches and the true width is 75 inches. So, the relative error = (|36 - 75| / 75) * 100% = (39 / 75) * 100% = 52%. Therefore, the correct answer is A: 0.52%. Choice B (0.01%), C (0.99%), and D (0.10%) are incorrect as they do not correspond to the calculated relative error of 52% in this scenario.