ATI TEAS 7
TEAS Test Sample Math Questions Questions
Question 1 of 5
Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?
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.
Question 2 of 5
The phone bill is calculated each month using the equation y = 50x. The cost of the phone bill per month is represented by y and x represents the gigabytes of data used that month. What is the value and interpretation of the slope of this equation?
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.
Question 3 of 5
At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses � of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?
Correct Answer: D
Rationale: Failed to generate a rationale after 5 retries.
Question 4 of 5
Express as an improper fraction: 8 3/7
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.
Question 5 of 5
Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?
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.
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