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: 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: B

Rationale: To find out how much paint Shawna has left, subtract the amount she used from the total amount she bought. 5.0 gallons - 2.5 gallons = 2.5 gallons left. So, the correct answer is B: 2.5 gallons. Choice A (2.0 gallons) is incorrect as it does not account for the amount used. Choice C (3.0 gallons) is incorrect as it overestimates the amount left. Choice D (1.5 gallons) is incorrect as it underestimates the amount left.

Correct Answer: B

Rationale: To calculate speed in feet per second, we need to convert miles to feet and minutes to seconds. 72 miles = 72 * 5280 feet. 90 minutes = 90 * 60 seconds. Speed = distance / time. So, speed = (72 * 5280) / (90 * 60) = 48.9 feet per second. Therefore, choice B is correct. Choice A is too slow, choice C is extremely slow, and choice D is too fast when compared to the calculated speed.

Correct Answer: B

Rationale: To add 1/6 and 1/2, find a common denominator which is 6. Then, 1/6 + 1/2 = (1/6) + (3/6) = 4/6. Simplifying 4/6 gives 2/3, which is the reduced form of the sum. Choice B is correct. Choices A, C, and D are incorrect because they do not represent the correct result of adding 1/6 and 1/2 in reduced form. Option A simplifies to 9/7, Option C simplifies to 31/36, and Option D simplifies to 3/5, none of which are the correct answer.