ATI TEAS 7
TEAS Practice Test Math
1. What defines an integer?
- A. A whole number (not a fraction or decimal!) that can be positive, negative, or zero
- B. A number with a decimal point
- C. A fraction
- D. A percentage
Correct answer: A
Rationale: An integer is a whole number that can be positive, negative, or zero. It does not include fractions or decimals. Choice B, 'A number with a decimal point,' is incorrect because integers do not have decimal points. Choice C, 'A fraction,' is incorrect because integers are not expressed as ratios of two integers. Choice D, 'A percentage,' is incorrect because integers are not necessarily related to proportions out of 100.
2. If x represents the width of a rectangle and the length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
- A. 2x-6
- B. 6-2x
- C. 6x-2
- D. 3x-4
Correct answer: A
Rationale: To find the expression representing the length of the rectangle in terms of x, we need to consider that the length is six less than two times the width. If we denote the width as x, the length can be expressed as 2x - 6. Therefore, the correct expression is 2x-6 (choice A). Choice B, 6-2x, represents the width subtracted from 6, not the length. Choice C, 6x-2, is not derived from the given information about the relationship between the width and length. Choice D, 3x-4, is not consistent with the relationship provided in the question.
3. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23
- A. 6
- B. 21
- C. 38
- D. 23
Correct answer: C
Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.
4. How many milliliters are there in 3.2 liters?
- A. 0.32
- B. 32
- C. 3200
- D. 320
Correct answer: C
Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1000 milliliters. Therefore, 3.2 liters is equivalent to 3.2 x 1000 = 3200 milliliters. Choice A (0.32) is incorrect as it incorrectly moves the decimal point. Choice B (32) is incorrect as it doesn't consider the conversion factor between liters and milliliters. Choice D (320) is incorrect as it is a partial conversion error, missing a zero at the end.
5. How do you convert yards to feet, and feet to yards?
- A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
- B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
- C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
- D. Multiply yards by 4 to get feet; divide feet by 4 to get yards
Correct answer: A
Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.
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