Math Practice TEAS Test

Correct Answer: B

Rationale: To find the total height when stacked, we add the heights of the two bookcases. 32.75 inches + 17.25 inches = 50 inches Therefore, the correct answer is B (50 inches). Explanation for incorrect choices: A: 49.5 inches is incorrect because the heights are added, not averaged. C: 48 inches is incorrect as it's less than the sum of the two heights. D: 51 inches is incorrect as it's greater than the sum of the two heights.

Correct Answer: A

Rationale: The correct answer is A: PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, which is the order of operations in mathematics. By following PEMDAS, you ensure the correct sequence of operations and accurate results in mathematical calculations. Using PEMDAS prevents errors and ambiguity in expressions. It is essential to always use PEMDAS to maintain consistency and accuracy in mathematical computations. Summary of other choices: B: Variables are used in algebra to represent unknown quantities, but they are not always required in all math. C: Conversion factors are used in unit conversions, but they are not universally necessary in all math situations. D: Estimation is a useful skill in math for approximating results but is not a fundamental requirement in all mathematical operations.

Correct Answer: D

Rationale: The correct answer is D: 4 quarts. There are 4 quarts in a gallon. This is because a gallon is a unit of volume equal to 128 fluid ounces, and each quart is equal to 32 fluid ounces. Therefore, to find out how many quarts are in a gallon, you divide the total number of fluid ounces in a gallon by the number of fluid ounces in a quart (128 ÷ 32 = 4). Choice A (1 quart) is incorrect because a quart is smaller than a gallon. Choice B (2 quarts) is incorrect as it is half of the correct amount. Choice C (3 quarts) is also incorrect as it is three-quarters of the correct amount. The correct answer is D (4 quarts) because it accurately represents the conversion of fluid ounces from gallons to quarts.

Correct Answer: C

Rationale: A rational number can be expressed as a fraction or a decimal. A fraction is a ratio of two integers, and a decimal can represent a rational number, such as 0.5 (which is 1/2). Hence, a rational number can be a fraction, decimal, or a whole number. Options A and D are incorrect because a rational number is not limited to being a whole number or cannot be a decimal. Option B is partially correct but doesn't cover the full scope of possibilities for rational numbers. Option C is the correct answer as it encompasses all the possible representations of a rational number.

Correct Answer: B

Rationale: To find the total height when stacked, we add the heights of the two bookcases. 32.75 inches + 17.25 inches = 50 inches Therefore, the correct answer is B (50 inches). Explanation for incorrect choices: A: 49.5 inches is incorrect because the heights are added, not averaged. C: 48 inches is incorrect as it's less than the sum of the two heights. D: 51 inches is incorrect as it's greater than the sum of the two heights.