express as a reduced mixed number
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ATI TEAS 7

TEAS Test Sample Math Questions

1. Express 18/5 as a reduced mixed number.

Correct answer: A

Rationale: To convert the improper fraction 18/5 to a mixed number, divide 18 by 5. The quotient is 3 with a remainder of 3, which translates to 3 3/5. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the conversion of 18/5 to a mixed number.

2. If Sarah reads at an average rate of 21 pages in four nights, how long will it take her to read 140 pages?

Correct answer: D

Rationale: If Sarah reads 21 pages in four nights, she reads at a rate of 21 / 4 = 5.25 pages per night. To read 140 pages, she would need 140 / 5.25 = 26.67 nights. Since she cannot read a fraction of a night, it would take her 27 nights to read 140 pages, making option D the correct answer. Option A is incorrect as it does not accurately reflect the calculation. Option B is incorrect as it does not consider the fractional part of the calculation, resulting in an inaccurate answer. Option C is incorrect as it does not align with the correct calculation based on Sarah's reading rate.

3. This chart indicates the number of sales of CDs, vinyl records, and MP3 downloads that occurred over the last year. Approximately what percentage of the total sales was from CDs?

Correct answer: C

Rationale: To determine the percentage of CD sales out of the total sales, we need to consider the total sales of CDs, vinyl records, and MP3 downloads. To find the percentage of CD sales, we divide the total sales of CDs by the sum of total sales of CDs, vinyl records, and MP3 downloads, and then multiply by 100. In this case, the correct calculation shows that CDs accounted for 40% of the total sales. Choice A (55%) is incorrect as it overestimates the contribution of CDs. Choice B (25%) is incorrect as it underestimates the percentage of CD sales. Choice D (5%) is also incorrect as it severely underestimates the share of CD sales in the total sales.

4. Given the histograms shown below, which of the following statements is true?

Correct answer: C

Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.

5. Which statement best describes the rate of change?

Correct answer: B

Rationale: The rate of change refers to how one quantity changes concerning another quantity. In this scenario, the rate of change is the amount of snow melting per day, which is 5 centimeters. This is determined by the slope of the graph, indicating a decrease in snow depth. Choices C and D incorrectly describe an increase in snow depth, while choice A exaggerates the rate of snow melting compared to the actual value of 5 centimeters per day.

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