which of the following is the most likely weight of a pencil
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ATI TEAS 7

TEAS Practice Test Math

1. Which of the following is the most likely weight of a pencil?

Correct answer: D

Rationale: The correct answer is 25 g. Pencils are usually lightweight, and their weight is measured in grams. 25 kg (choice A) is too heavy for a pencil. 25 cm (choice B) is a unit of length, not weight. 25 mg (choice C) is too light for a pencil, as pencils typically weigh more than milligrams.

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. Which of the following is the greatest value?

Correct answer: B

Rationale: To determine the greatest value among the choices, you need to convert all options to a common format. In this case, converting fractions to decimals will help compare them. When 7 ÷ 5 is calculated, it equals 1.4, which is greater than 0.729 (choice C) and 0.78 (choice A when rounded). The percentage 73% (choice D) is equivalent to 0.73, making 7 ÷ 5 the largest value. Therefore, the correct answer is B. Choice A is smaller than B, as 43 ÷ 55 equals approximately 0.78. Choice C is smaller than B, as 0.729 is less than 1.4. Choice D is smaller than B, as 73% is equal to 0.73, which is less than 1.4.

4. A certain exam has 30 questions. A student gets 1 point for each question answered correctly and loses half a point for each question answered incorrectly; no points are gained or lost for questions left blank. If x represents the number of questions a student answers correctly and y represents the number of questions left blank, which of the following expressions represents the student's score on the exam?

Correct answer: A

Rationale: The student's score is calculated by adding the points earned for correct answers (x) and subtracting the points lost for incorrect answers (y/2). Therefore, the expression for the student's score on the exam is x - y/2. Option A is correct because it accurately represents this calculation. Option B (x - y) is incorrect as it does not account for the penalty of losing half a point for each incorrect answer. Option C (30 - (x + y)) is incorrect as it subtracts the total number of questions from the sum of correct and blank answers, which does not represent the scoring system. Option D (30 - x - y/2) is also incorrect as it incorrectly subtracts x from 30 and then deducts y divided by 2, which is not the correct scoring method for the exam.

5. Which of the following is not a negative value?

Correct answer: B

Rationale: To identify the negative value, simplify each expression. A) simplifies to 6 which is positive. B) simplifies to 0 which is neither positive nor negative. C) simplifies to -11 which is negative. D) simplifies to -30 which is negative. Therefore, only choice B results in a non-negative value, making it the correct answer.

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