ATI TEAS 7
TEAS Exam Math Practice
1. What is the result of (6.4)(2.8) ÷ 0.4? Which of the following is correct?
- A. 16.62
- B. 17.92
- C. 41.55
- D. 44.8
Correct answer: D
Rationale: To simplify the expression, first multiply 6.4 by 2.8 to get 17.92. Then, divide the result by 0.4 to find the final answer. Therefore, (6.4)(2.8) ÷ 0.4 equals 44.8. Choices A, B, and C are incorrect because they do not represent the correct result of the given expression.
2. A student gets 42 questions out of 48 correct on a quiz. What is the percentage of questions that the student answered correctly?
- A. 1.14%
- B. 82.50%
- C. 85.00%
- D. 87.50%
Correct answer: D
Rationale: To find the percentage of questions answered correctly, divide the number of correct questions by the total number of questions: 42/48 = 0.875. Multiply the result by 100 to express it as a percentage, which gives 87.5%. Therefore, the correct answer is 87.50%. Choice A (1.14%) is incorrect as it does not reflect the correct percentage. Choices B (82.50%) and C (85.00%) are also incorrect as they do not align with the calculation based on the given information.
3. Which of the following is equivalent to 3.28?
- A. (328/100)
- B. (41/5)
- C. (3/28)
- D. (7/25)
Correct answer: D
Rationale: To convert a decimal to a fraction, we can treat it as a fraction over 1 and then simplify. For 3.28, it can be written as 3.28/1. To convert this to a fraction, we multiply by 100 to get (328/100). Then, to simplify, we divide both the numerator and denominator by 4 to get (82/25). This simplifies further to (7/25). Therefore, (7/25) is equivalent to 3.28. Choices A, B, and C are incorrect as they do not represent the decimal 3.28.
4. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))
- A. −(2/7)
- B. −(4/17)
- C. (16/17)
- D. (8/7)
Correct answer: C
Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.
5. The owner of a newspaper has noticed that print subscriptions have gone down 40% while online subscriptions have gone up 60%. Print subscriptions once accounted for 70% of the newspaper’s business, and online subscriptions accounted for 25%. What is the overall percentage growth or decline in business?
- A. 13% decline
- B. 15% decline
- C. 28% growth
- D. 8% growth
Correct answer: A
Rationale: To calculate the decline in business, start with the 40% decline in the 70% share of print subscriptions: 40% of 70% = 0.40 × 0.70 = 0.28 = 28% decline. Next, calculate the growth from the 60% increase in the 25% share of online subscriptions: 60% of 25% = 0.60 × 0.25 = 0.15 = 15% growth. To find the overall change, sum the decline and growth percentages: 28% decline + 15% growth = -0.28 + 0.15 = -0.13 = 13% decline. Therefore, the overall percentage change in the newspaper's business is a 13% decline. Option A is the correct answer. Option B is incorrect because it doesn't consider the correct calculations for both the decline and growth. Option C is incorrect as it misinterprets the net change in business. Option D is incorrect as it miscalculates the overall percentage growth or decline.
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