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: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given r = 3 inches, C = 2π(3) ≈ 18.85 inches. The closest estimate is C: 18 inches. Choice A is too small, B is slightly closer but still underestimated, and D is too large. Therefore, C is the best estimate based on the calculated circumference using the given radius.

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: 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.