ATI TEAS 7
TEAS Practice Test Math
1. 3(x-2)=12. Solve the equation above for x. Which of the following is the correct answer?
- A. 6
- B. -2
- C. -4
- D. 2
Correct answer: A
Rationale: To solve the equation 3(x-2)=12, first distribute the 3: 3x - 6 = 12. Next, isolate x by adding 6 to both sides: 3x = 18. Finally, divide by 3 to find x: x = 6. Therefore, the correct answer is A (6). Choice B (-2) is incorrect as it does not satisfy the equation. Choice C (-4) is also incorrect as it does not satisfy the equation. Choice D (2) is incorrect as it does not satisfy the equation either.
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. Simplify the expression below. Which of the following is correct? 3.45 * 0.53
- A. 1.8285
- B. 18.285
- C. 0.18285
- D. 182.85
Correct answer: A
Rationale: To solve 3.45 * 0.53, multiply the numbers to get 1.8285. Therefore, the correct answer is A. Choice B is incorrect because it incorrectly moves the decimal point. Choice C is incorrect as it is a fraction of the correct answer. Choice D is incorrect as it results from an error in moving the decimal point.
4. What is the GCF (greatest common factor)?
- A. The largest factor that all the numbers share
- B. The smallest factor that all the numbers share
- C. The largest multiple that all the numbers share
- D. The smallest multiple that all the numbers share
Correct answer: A
Rationale: The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. This factor represents the highest number that can evenly divide each of the numbers in the set without any remainder. Choice B, 'The smallest factor that all the numbers share,' is incorrect because the GCF is the greatest, not the smallest, factor. Choices C and D, 'The largest multiple that all the numbers share' and 'The smallest multiple that all the numbers share,' are also incorrect as the GCF refers to factors, not multiples.
5. Based on their prescribing habits, a set of doctors was divided into three groups: 1/4 of the doctors were placed in Group X because they always prescribed medication. 1/3 of the doctors were placed in Group Y because they never prescribed medication. 1/6 of the doctors were placed in Group Z because they sometimes prescribed medication. Order the groups from largest to smallest, according to the number of doctors in each group.
- A. Group X, Group Y, Group Z
- B. Group Z, Group Y, Group X
- C. Group Z, Group X, Group Y
- D. Group Y, Group X, Group Z
Correct answer: D
Rationale: Compare and order the groups based on the fractions provided.
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