TEAS Test Math Prep

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

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: 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: 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: 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.