ATI TEAS 7
ATI TEAS Math Practice Test
1. Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8
- A. 10/9, 7/3, 9/2, 7/8
- B. 9/2, 7/3, 10/9, 7/8
- C. 7/3, 9/2, 10/9, 7/8
- D. 7/8, 10/9, 7/3, 9/2
Correct answer: D
Rationale: To arrange the numbers from least to greatest, first convert them to decimals: 1. 7/3 is approximately 2.33 2. 9/2 equals 4.5 3. 10/9 is approximately 1.11 4. 7/8 equals 0.875 Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2). Therefore, the correct order is 7/8, 10/9, 7/3, 9/2. Choice A is incorrect because it doesn't follow the correct order. Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement. Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.
2. Can a rational number be a fraction or decimal, or must it be a whole number?
- A. It must be a whole number
- B. It can be a fraction or decimal
- C. It can be any of the three
- D. It cannot be a decimal
Correct answer: C
Rationale: The correct answer is C. A rational number can be a whole number, fraction, or decimal. A rational number is any number that can be expressed as a ratio of two integers (where the denominator is not zero), which includes whole numbers, fractions, and decimals. Choice A is incorrect because rational numbers are not limited to being whole numbers. Choice B is incorrect because a rational number can be a fraction, decimal, or whole number. Choice D is incorrect because rational numbers can definitely be decimals, as long as the decimal representation is either terminating or repeating.
3. In a fraction, which number is the numerator and which is the denominator?
- A. Numerator: top, Denominator: bottom
- B. Numerator: bottom, Denominator: top
- C. Numerator: left, Denominator: right
- D. Numerator: right, Denominator: left
Correct answer: A
Rationale: The correct answer is A: 'Numerator: top, Denominator: bottom.' In a fraction, the numerator is the top number, representing the part of the whole being considered, while the denominator is the bottom number, indicating the total number of equal parts into which the whole is divided. Choices B, C, and D are incorrect because they provide inaccurate descriptions of the numerator and denominator positions in a fraction.
4. What is the formula for the area of a circle?
- A. A = πr²
- B. A = 2πr
- C. A = πd
- D. A = 2πd
Correct answer: A
Rationale: The correct formula for the area of a circle is A = πr², where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. Choice B, A = 2πr, represents the circumference of a circle, not the area. Choice C, A = πd, incorrectly uses the diameter (d) instead of the radius in the formula for area. Choice D, A = 2πd, is also related to the circumference of the circle, not the area. Therefore, option A is the only correct formula for calculating the area of a circle.
5. Jonathan pays a $65 monthly flat rate for his cell phone. He is charged $0.12 per minute for each minute used in a roaming area. Which of the following expressions represents his monthly bill for x roaming minutes?
- A. 65 + 0.12x
- B. 65x + 0.12
- C. 65.12x
- D. 65 + 0.12x
Correct answer: A
Rationale: The correct expression for Jonathan's monthly bill is 65 + 0.12x, where x represents the number of roaming minutes. The $65 monthly flat rate is added to the product of $0.12 per minute and the number of roaming minutes (x). Choice B is incorrect because it incorrectly multiplies the flat rate by x and adds the per-minute charge. Choice C is incorrect as it combines the flat rate and the per-minute charge into a single value. Choice D is incorrect as it incorrectly multiplies the flat rate by x and adds the per-minute charge separately.
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