TEAS Test Sample Math Questions

Correct Answer: D

Rationale: The slope of the equation y = 50x represents the rate of change in cost (y) per unit change in data usage (x). In this case, the slope is 50 dollars per gigabyte. This means that for every additional gigabyte of data used, the cost of the phone bill increases by $50. Explanation for other choices: A: 75 dollars per day - Incorrect. The equation does not involve time (days). B: 75 gigabytes per day - Incorrect. The slope represents cost per gigabyte, not gigabytes per day. C: 50 dollars per day - Incorrect. The slope is not based on a daily rate.

Correct Answer: C

Rationale: To find the fraction of blue shirts, we must first determine the fraction of green and red shirts. Given that 2/5 are green and 1/3 are red, the remaining fraction for blue shirts can be calculated by subtracting the sum of green and red fractions from 1 (total). Green: 2/5, Red: 1/3 Total fraction of green and red shirts: 2/5 + 1/3 = 6/15 + 5/15 = 11/15 Fraction of blue shirts: 1 - 11/15 = 4/15 Therefore, the correct answer is C (7/15) as the fraction of blue shirts is 4/15, leaving 7/15 for blue shirts. Other choices are incorrect as they do not align with the calculated fraction for blue shirts.

Correct Answer: A

Rationale: To divide fractions, we multiply the first fraction by the reciprocal of the second. So, (4/3) ÷ (9/13) = (4/3) x (13/9) = 52/27. The correct answer is A, 52/27, as it follows the correct procedure of dividing fractions. The other choices are incorrect because they do not result from the proper operation of dividing fractions.

Correct Answer: D

Rationale: The slope of the equation y = 50x represents the rate of change in cost (y) per unit change in data usage (x). In this case, the slope is 50 dollars per gigabyte. This means that for every additional gigabyte of data used, the cost of the phone bill increases by $50. Explanation for other choices: A: 75 dollars per day - Incorrect. The equation does not involve time (days). B: 75 gigabytes per day - Incorrect. The slope represents cost per gigabyte, not gigabytes per day. C: 50 dollars per day - Incorrect. The slope is not based on a daily rate.

Correct Answer: C

Rationale: To find what fraction the fourth person pays, we first calculate the sum of fractions paid by the first three people: 1/5 + 1/3 + 1/12 = 12/60 + 20/60 + 5/60 = 37/60. The total bill is 1, so the fourth person pays 1 - 37/60 = 23/60. Therefore, the correct answer is C (47/60). Choice A (1/4) is incorrect as it does not consider the fractions paid by the first three people. Choice B (13/60) is incorrect as it is the sum of the fractions paid by the first three people, not what the fourth person pays. Choice D (1/4) is a duplicate of choice A and is also incorrect.