ATI TEAS 7
ATI TEAS Math Practice Test
1. 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) ÷ (4/15) = (2/3) × (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 × 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.
2. What defines rational and irrational numbers?
- A. Any number that can be expressed as a fraction; any number that cannot be expressed as a fraction
- B. Any number that terminates or repeats; any number that does not terminate or repeat
- C. Any whole number; any decimal
- D. Any terminating decimal; any repeating decimal
Correct answer: A
Rationale: Rational numbers are those that can be written as a simple fraction, including whole numbers and decimals that either terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as fractions. Choice B is incorrect because not all rational numbers necessarily terminate or repeat. Choice C is incorrect as it oversimplifies the concept of rational and irrational numbers by only considering whole numbers and decimals. Choice D is incorrect as it inaccurately defines rational and irrational numbers solely based on decimals terminating or repeating, excluding the broader category of fractions.
3. Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
- A. 6-Jan
- B. 4-Jan
- C. 4-Mar
- D. 8-Mar
Correct answer: D
Rationale: After one friend eats a quarter of the burger, 3/4 of the burger remains. Dividing this equally between the other two friends means each receives 3/8 of the whole burger. Therefore, the correct answer is 8-Mar. Choice A (6-Jan), Choice B (4-Jan), and Choice C (4-Mar) are incorrect as they do not accurately represent the portion each of the other two friends receives after one friend consumes a quarter of the burger.
4. Pernell received the following scores on five exams: 81, 92, 87, 89, and 94. What is the approximate average of these scores?
- A. 81
- B. 84
- C. 89
- D. 91
Correct answer: C
Rationale: To calculate the average of Pernell's scores, add all the scores together and then divide by the number of scores. (81 + 92 + 87 + 89 + 94) = 443. Now, divide 443 by 5: 443 ÷ 5 = 89, which is the average score.
5. A man decided to buy new furniture from Futuristic Furniture for $2,600. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1,000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?
- A. $1,480 more
- B. $1,280 more
- C. $1,600 more
- D. $2,480 more
Correct answer: B
Rationale: To calculate the total cost with the financing plan, multiply $120 by 24 months to get $2,880. Adding the $1,000 down payment gives a total of $3,880. By comparing this total with the initial cost of $2,600 when paying in cash, the man would pay $1,280 more with the financing plan. Choice A, $1,480 more, is incorrect because it miscalculates the additional amount. Choice C, $1,600 more, is incorrect as it overestimates the extra cost. Choice D, $2,480 more, is incorrect as it significantly overstates the additional payment.
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