ATI TEAS 7
TEAS Practice Test Math
1. A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?
- A. $23,000
- B. $46,000
- C. $25,000
- D. $50,000
Correct answer: C
Rationale: To find the amount the friend paid, you can set up the equation 2x - 2000 = 48000, where x represents the amount the friend paid. Solving this equation gives x = $25,000. Therefore, the friend paid $25,000. Choice A ($23,000) is incorrect because it does not account for the $2,000 difference mentioned in the question. Choice B ($46,000) is incorrect because it is double the amount needed. Choice D ($50,000) is incorrect as it does not consider the $2,000 less mentioned in the question.
2. In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?
- A. Independent
- B. Control
- C. Dependent
- D. Constant
Correct answer: C
Rationale: The baby's measured weight is the dependent variable as it depends on the time intervals.
3. What defines a composite number?
- A. A number with only two factors
- B. A number that is a fraction
- C. A number with more than 2 factors
- D. A number with exactly two factors
Correct answer: C
Rationale: A composite number is a positive integer greater than one that has more than two factors. Choice A is incorrect because a number with only two factors is a prime number. Choice B is incorrect as being a fraction does not define a composite number. Choice D is incorrect because a number with exactly two factors is a prime number, not a composite number.
4. What is the area of the largest circle that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?
- A. 18π cm²
- B. 10π cm²
- C. 16π cm²
- D. 8π cm²
Correct answer: C
Rationale: The largest circle that can fit inside the rectangle would have a diameter of 8 cm, which means the radius is half of the diameter, thus 4 cm. The area of a circle is calculated using the formula A = πr², where r is the radius. Substituting the radius value into the formula, the area of the circle is π(4)² = 16π cm². Therefore, the correct answer is 16π cm². Choice A (18π cm²), B (10π cm²), and D (8π cm²) are incorrect because they do not represent the area of the largest circle that fits inside the given rectangle.
5. 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.
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