TEAS Test Math Prep

Correct Answer: B

Rationale: To round 2678 to the nearest thousandth, we look at the digit in the thousandth place, which is 6. Since the next digit is 7, we round 6 up to 7. The thousandth place is used to decide whether to round up or down in this case. Choices A, C, and D are incorrect as they refer to other place values that are not relevant when rounding to the nearest thousandth.

Correct Answer: D

Rationale: To find the number of nights Sarah needs to read 140 pages, we first calculate her rate: 21 pages / 4 nights = 5.25 pages/night. Then, we divide 140 pages by her rate: 140 pages / 5.25 pages/night ≈ 26.67 nights. Since she can't read a fraction of a night, she would need 27 nights to read 140 pages. A: Incorrect. 6 nights is too short based on the rate calculation. B: Incorrect. 26 nights is close, but rounding up is necessary. C: Incorrect. 8 nights is too short based on the rate calculation.

Correct Answer: C

Rationale: To determine how many questions the student answered correctly, we can calculate 85% of 20. 85% of 20 = 0.85 * 20 = 17. Therefore, the student answered 17 questions correctly. Option A, B, and D are incorrect because they do not correspond to the calculated result. Option A is too low, B is close but still lower, and D is too high.

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 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.