ATI TEAS 7
TEAS Test Practice Math
1. Approximately by what percentage are there more female staff members in City Y compared to City X?
- A. 5%
- B. 10%
- C. 15%
- D. 20%
Correct answer: D
Rationale: To find the percentage difference in female staff members between City Y and City X, you subtract the percentage of female staff members in City X from the percentage in City Y. So, 60% (City Y) - 40% (City X) = 20%. This means there are 20% more female staff members in City Y compared to City X. Choices A, B, and C are incorrect percentages and do not accurately represent the 20% difference between the two cities.
2. Simplify the following expression:
- A. 1 9/16
- B. 1 1/4
- C. 2 1/8
- D. 2
Correct answer: A
Rationale: To simplify the given expression, start by performing the division first: (2/3) รท (4/15) = (2/3) ร (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 ร 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.
3. 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?
- A. x - y/2
- B. x - y
- C. 30 - (x + y)
- D. 30 - x - y/2
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.
4. What is a common denominator?
- A. A shared multiple of two denominators
- B. A shared factor of two numerators
- C. A number that is the same in all fractions
- D. A number that divides evenly into both fractions
Correct answer: A
Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.
5. How many pints are in a gallon?
- A. 2 pints
- B. 4 pints
- C. 8 pints
- D. 16 pints
Correct answer: C
Rationale: The correct answer is C: 8 pints. In the U.S. customary system, there are 8 pints in a gallon. This conversion is essential to know for various activities like cooking, measuring liquids, or understanding container volumes. Choice A, 2 pints, is incorrect as it represents half a gallon. Choice B, 4 pints, is incorrect as it represents a half-gallon or a quart. Choice D, 16 pints, is incorrect as it represents two gallons. Therefore, the correct answer is C, 8 pints.
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