TEAS Test Math Prep

Correct Answer: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.

Correct Answer: C

Rationale: The correct answer is C: 0.84. To convert a percentage to a decimal, you divide by 100. In this case, 84% divided by 100 equals 0.84. Choice A is incorrect as 0.042 is not equivalent to 84%. Choice B is incorrect as 84% is not the same as 0.84. Choice D is incorrect as 0.42 is not the correct decimal form of 84%. Therefore, the correct representation of 84% in decimal form is 0.84.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - True Value| / True Value) * 100%. In this case, the measured width is 36 inches and the true width is 75 inches. So, the relative error = (|36 - 75| / 75) * 100% = (39 / 75) * 100% = 52%. Therefore, the correct answer is A: 0.52%. Choice B (0.01%), C (0.99%), and D (0.10%) are incorrect as they do not correspond to the calculated relative error of 52% in this scenario.

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: 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.