TEAS Test Math Prep

Correct Answer: D

Rationale: To find the number of nights Sarah needs to read 140 pages, we first calculate her rate: 21 pages / 4 nights = 5.25 pages/night. Then, we divide 140 pages by her rate: 140 pages / 5.25 pages/night ≈ 26.67 nights. Since she can't read a fraction of a night, she would need 27 nights to read 140 pages. A: Incorrect. 6 nights is too short based on the rate calculation. B: Incorrect. 26 nights is close, but rounding up is necessary. C: Incorrect. 8 nights is too short based on the rate calculation.

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: 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.

Correct Answer: B

Rationale: To find the weight difference in kilograms, we subtract Alan's goal weight (175 lbs) from his current weight (200 lbs): 200 lbs - 175 lbs = 25 lbs Next, we convert pounds to kilograms using the conversion factor 0.45 kg per 1 lb: 25 lbs x 0.45 kg/lb = 11.25 kg Therefore, the correct answer is B (11.25 kg). Other choices are incorrect because they do not properly calculate the weight difference in kilograms based on the given conversion factor.

Correct Answer: A

Rationale: To convert feet to kilometers, we need to know that 1 kilometer is approximately 3280.84 feet. So, to find out how many kilometers 4382 feet is, we divide 4382 by 3280.84, which equals approximately 1.336 kilometers. Therefore, the correct answer is A: 1.336 kilometers. Choice B: 14.376 kilometers is incorrect as it is too high. Choice C: 1.437 kilometers is incorrect as it is a close but slightly higher value. Choice D: 13.336 kilometers is incorrect as it is much higher than the actual value.