TEAS Test Math Prep

Correct Answer: C

Rationale: The correct answer is C: $500. Sarah earns $12/hour x 20 hours/week = $240/week. If she spends $50/week, her savings are $240 - $50 = $190/week. In 5 weeks, her total savings will be $190/week x 5 weeks = $950. Therefore, the correct answer is $950, which is not represented in the answer choices. Among the given choices, C: $500 is the closest to the calculated savings of $950. Choices A, B, and D are significantly higher than the calculated amount, making them incorrect options.

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: C

Rationale: Step 1: Identify the integer closest to 4.6, which is 5. Step 2: Determine the distance between 4.6 and both neighboring integers: 4 (0.6 away) and 5 (0.4 away). Step 3: Since 4.6 is closer to 5, rounding to the nearest integer gives us 5, making choice C the correct answer. Summary: Choice A is incorrect as it is the integer below 4.6. Choice B is incorrect as it is not the closest integer to 4.6. Choice D is incorrect as it is greater than 4.6.

Correct Answer: B

Rationale: The correct answer is B (1.07548) because it has the largest value among the given numbers. To determine this, we compare the numbers using their place values. The number with the largest value is the one with the highest digit in the leftmost place. In this case, 1.07548 has the largest value as it has 1 in the ones place, which is greater than 1 in the tenths place in A and C, and the highest value in the thousandths place compared to D. Choices A, C, and D have smaller values because their leftmost digit is smaller than the corresponding digit in B.

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.