TEAS Test Math Prep

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.

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: 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: The correct answer is C (40%). To calculate the percentage of total sales from CDs, you need to divide the number of CD sales by the total sales of all formats (CDs + vinyl + MP3). In this case, let's say CD sales were 400 units, vinyl sales were 300 units, and MP3 sales were 300 units, making the total sales 1000 units. To find the percentage of CD sales, divide 400 by 1000 and multiply by 100, yielding 40%. Choice A (55%) is incorrect as it overestimates CD sales. Choice B (25%) and Choice D (5%) are incorrect as they underestimate CD sales.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.