ATI TEAS 7
TEAS Exam Math Practice
1. What is the result of the expression 102 – 7(3 – 4) – 25? Which of the following is correct?
- A. -12
- B. 2
- C. 68
- D. 82
Correct answer: D
Rationale: To simplify the expression, we follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, solve inside the parentheses: 3 - 4 = -1. Then, multiply -1 by 7: -1 * 7 = -7. Now, substitute these values back into the expression: 102 - (-7) - 25 = 102 + 7 - 25 = 109 - 25 = 84. Therefore, the correct answer is 84. Choices A, B, and C are incorrect as they do not represent the correct simplification of the given expression.
2. You measure the width of your door to be 36 inches. The true width of the door is 75 inches. What is the relative error in your measurement?
- A. 0.52%
- B. 0.01%
- C. 0.99%
- D. 0.10%
Correct answer: A
Rationale: The relative error is calculated using the formula: (|Measured Value - True Value| / True Value) * 100%. Substituting the values given, we have (|36 - 75| / 75) * 100% = (39 / 75) * 100% ≈ 0.52 * 100% = 0.52%. Therefore, the relative error in measurement is approximately 0.52%. Choice A is correct because it reflects this calculation. Choice B is incorrect as it represents a lower relative error than the actual value obtained. Choice C is incorrect as it overestimates the relative error. Choice D is incorrect as it underestimates the relative error.
3. Which of the following is listed in order from least to greatest? (-2, -3/4, -0.45, 3%, 0.36)
- A. -2, -3/4, -0.45, 3%, 0.36
- B. -3/4, -0.45, -2, 0.36, 3%
- C. -0.45, -2, -3/4, 3%, 0.36
- D. -2, -3/4, -0.45, 0.36, 3%
Correct answer: A
Rationale: To determine the order from least to greatest, convert all the values to a common form. When written in decimal form, the order is -2, -0.75 (which is equal to -3/4), -0.45, 0.03 (which is equal to 3%), and 0.36. Therefore, the correct order is -2, -3/4, -0.45, 3%, 0.36 (Choice A). Choice B is incorrect as it has the incorrect placement of -2 and 0.36. Choice C is incorrect as it incorrectly places -0.45 before -2. Choice D is incorrect as it incorrectly places 0.36 before 3%.
4. How many milligrams are in 5 grams?
- A. 0.005 mg
- B. 50 mg
- C. 500 mg
- D. 5000 mg
Correct answer: D
Rationale: To convert grams to milligrams, you need to multiply by 1000 since 1 gram is equal to 1000 milligrams. Therefore, 5 grams is equal to 5 * 1000 = 5000 milligrams. Choices A, B, and C are incorrect because they do not correctly convert grams to milligrams. Choice A is incorrect as it represents a decrease in value instead of an increase when converting from grams to milligrams. Choice B is incorrect because it is a factor of 10 lower than the correct answer. Choice C is incorrect as it is a factor of 10 lower than the correct answer. Thus, the correct answer is D, 5000 mg.
5. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class, half of the nursing students were required to take the exam, and three-fifths of those who took the exam passed. If this year's class has 200 students, how many students passed the exam?
- A. 120
- B. 100
- C. 60
- D. 50
Correct answer: C
Rationale: If the incoming class has 200 students, then half of those students were required to take the exam. (200)(1/2) = 100. So 100 students took the exam, but only three-fifths of that 100 passed the exam. (100)(3/5) = 60. Therefore, 60 students passed the exam. The correct answer is 60. Choice A is incorrect as it miscalculates the number of students who passed the exam. Choice B is incorrect as it does not consider the passing rate of the exam. Choice D is incorrect as it is much lower than the correct answer.
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