TEAS Test Sample Math Questions

Correct Answer: D

Rationale: To express 8 3/7 as an improper fraction, we multiply the whole number (8) by the denominator of the fraction (7), then add the numerator (3) to get the numerator of the improper fraction. So, 8 * 7 + 3 = 59. The denominator remains the same, so the improper fraction is 59/7. Explanation of other choices: A: 11/7 - Incorrect. This is the sum of the whole number and fraction as a mixed number, not an improper fraction. B: 21/8 - Incorrect. This doesn't represent 8 3/7 as an improper fraction. C: 5/3 - Incorrect. This is a completely different fraction and does not represent 8 3/7.

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: 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: A

Rationale: To solve the problem 6 + 3 * 2, we must follow the order of operations (PEMDAS/BODMAS). According to this rule, multiplication should be completed first before addition. So, 3 * 2 = 6. Then we add 6 to 6 to get the final answer of 12. Therefore, the correct operation to be completed first is multiplication (Choice A). The other choices are incorrect because division and subtraction are not part of the given equation, and addition should only be done after completing multiplication in this case.

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, divide 18 by 5. This gives you 3 whole numbers and a remainder of 3. So, the correct answer is 3 3/5. Choice B is incorrect because it doesn't simplify to a whole number and proper fraction. Choices C and D are incorrect as they do not represent the correct division of 18 by 5.