TEAS Test Math Prep

Correct Answer: B

Rationale: The correct answer is B: $212.50. To determine how much he saved, you need to find the difference between the original price and the final price after the discount. The original price is $425 and the final price is $212.50 after a 50% discount. Subtracting $212.50 from $425 gives us the amount saved, which is $212.50. The other choices are incorrect because they do not reflect the actual savings based on the given information. Choice A is half of the original price, choice C is the discount amount, and choice D is the original price discounted by $25, not the actual savings.

Correct Answer: A

Rationale: To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km. Therefore, to convert 67 miles to kilometers, we multiply 67 miles by 1.60934 km/mile = 107.67178 km. Rounding to three significant digits gives us 107 km, which is the correct answer. Choice B (106 km) is incorrect as it does not account for the correct rounding of the conversion. Choice C (33 km) is incorrect as it significantly underestimates the conversion. Choice D (85 km) is also incorrect as it does not reflect the accurate conversion from miles to kilometers.

Correct Answer: C

Rationale: To solve for b, we need to isolate b on one side. First, combine like terms: 5b - 2b = 17 + 4. This simplifies to 3b = 21. Then, divide both sides by 3 to find b = 7. Choice C is correct. Choices A, B, and D are incorrect as they do not match the correct calculation result.

Correct Answer: A

Rationale: The correct answer is A: Positive. A line traveling from bottom-left to upper-right on a graph indicates a positive relationship between the predictor and dependent variable. As the predictor increases, the dependent variable also increases. This is because the slope of the line is positive, showing a direct relationship between the two variables. In contrast, a negative relationship (choice B) would be indicated by a line traveling from top-left to bottom-right, where the dependent variable decreases as the predictor increases. Choices C (Exponential) and D (Logarithmic) refer to specific nonlinear relationships, which are not indicated by a line with a positive slope.

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.