ATI TEAS 7
TEAS Practice Test Math
1. Which of the following weights is equivalent to 3.193 kilograms?
- A. 3,193,000 grams
- B. 3,193 grams
- C. 319.3 grams
- D. 0.003193 grams
Correct answer: B
Rationale: To convert kilograms to grams, you need to remember that 1 kilogram is equal to 1,000 grams. Therefore, 3.193 kilograms is equivalent to 3,193 grams (3.193 kg * 1,000 g/kg = 3,193 g). Choice A (3,193,000 grams) incorrectly converts kilograms to milligrams, Choice C (319.3 grams) incorrectly moves the decimal point one place to the right, and Choice D (0.003193 grams) incorrectly converts kilograms to milligrams and then further to grams.
2. Simplify the expression 3x - 5x + 2.
- A. -2x + 2
- B. -8x
- C. 2x + 2
- D. -2x
Correct answer: D
Rationale: When simplifying the expression 3x - 5x + 2, start by combining like terms. -5x is subtracted from 3x to give -2x. Adding 2 at the end gives the simplified expression -2x. Therefore, the correct answer is -2x. Choice A, -2x + 2, incorrectly adds 2 at the end. Choice B, -8x, incorrectly combines the coefficients of x without considering the constant term. Choice C, 2x + 2, incorrectly adds the coefficients of x without simplifying.
3. How many milliliters (mL) are there in a liter?
- A. 1000 mL
- B. 100 mL
- C. 10 mL
- D. 1 mL
Correct answer: A
Rationale: The correct answer is A: 1000 mL. This is a standard conversion in the metric system where 1 liter is equivalent to 1000 milliliters. Choice B, 100 mL, is incorrect as it represents only a tenth of a liter. Choice C, 10 mL, is incorrect as it represents only a hundredth of a liter. Choice D, 1 mL, is significantly less than a liter, as it is only a thousandth of a liter.
4. A book has a width of 5 decimeters. What is the width of the book in centimeters?
- A. 0.25 centimeters
- B. 25 centimeters
- C. 250 centimeters
- D. 0.025 centimeters
Correct answer: B
Rationale: To convert decimeters to centimeters, you need to multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, to find the width of the book in centimeters, multiply 5 decimeters by 10: 5 decimeters * 10 = 50 centimeters. This means the width of the book is 50 centimeters, making choice B, "25 centimeters," the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters.
5. A rectangular solid box has a square base with a side length of 5 feet and a height of h feet. If the volume of the box is 200 cubic feet, which of the following equations can be used to find h?
- A. 5h = 200
- B. 5h² = 200
- C. 25h = 200
- D. h = 200 ÷ 5
Correct answer: C
Rationale: The volume formula for a rectangular solid is V = l × w × h. In this case, the length and width are both 5 feet. Substituting the values into the formula gives V = 5 × 5 × h = 25h = 200. Therefore, h = 200 ÷ 25 = 8. Option A is incorrect because the product of length, width, and height is not directly equal to the volume. Option B is incorrect as squaring the height is not part of the volume formula. Option D is incorrect as it oversimplifies the relationship between height and volume, not considering the base dimensions.
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