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: B

Rationale: To calculate the total trip duration, first find the time taken for the first leg (305 miles at 65 mph = 305/65 = 4.69 hours). Then factor in the 15-minute stop (0.25 hours). Finally, calculate the time for the second leg (162 miles at 80 mph = 162/80 = 2.03 hours). Add all times together (4.69 + 0.25 + 2.03 = 6.97 hours), which is closest to choice B (6.69 hours). This is the correct answer as it considers the time for each leg and the stop accurately. Other choices are incorrect because they do not accurately calculate the total trip duration.

Correct Answer: A

Rationale: The correct answer is A: x + 4 = 5/6y - 2. To break it down step-by-step: 1. "Four more than a number" translates to x + 4. 2. "2 less than 5/6 of another number" translates to 5/6y - 2. 3. Combining the two expressions gives x + 4 = 5/6y - 2, which represents the given relationship accurately. In summary, choice A is correct because it correctly captures the relationship described in the question. Choices B, C, and D are incorrect because they do not accurately represent the relationship between the two numbers given in the question.

Correct Answer: A

Rationale: To find the percentage of students with hazel or green eyes, add the number of students with hazel and green eyes (5+2=7). Then, divide this sum by the total number of students (7/30). Finally, multiply the result by 100 to convert it to a percentage (7/30 * 100 = 23%). Therefore, the correct answer is A (0.23). Choice B (0.3) is incorrect as it is not the accurate percentage of students with hazel or green eyes. Choice C (0.47) and choice D (0.77) are also incorrect as they do not represent the correct calculation of the percentage based on the given information.

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.