TEAS Test Math Prep

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: 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: 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: C

Rationale: To find the width, we first calculate the total length of the rectangle by multiplying the length by 2 (since there are 2 lengths in a rectangle). 12 cm x 2 = 24 cm. Subtracting this from the total perimeter of 36 cm gives us 36 cm - 24 cm = 12 cm. Since the width is divided into 2 sides, we divide 12 cm by 2 to get the width of 6 cm. Therefore, the correct answer is C: 6 cm. Choice A (3 cm) is incorrect because it does not account for the total perimeter. Choice B (12 cm) is incorrect as it represents the length, not the width. Choice D (8 cm) is incorrect as it does not align with the calculations based on the given information.

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.