TEAS Test Math Prep

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.

Correct Answer: A

Rationale: The correct answer is A: x - y/2. To calculate the student's score, we need to consider the points gained and lost. For each correct answer, the student gains 1 point. For each incorrect answer, the student loses half a point. Since there are no points gained or lost for questions left blank, the expression x - y/2 correctly represents the score. Option B (x - y) does not account for losing half a point for incorrect answers. Option C (30 - (x + y)) does not consider the points gained for correct answers. Option D (30 - x - y/2) inverts the order of subtraction, leading to an incorrect calculation of the score.

Correct Answer: D

Rationale: The correct answer is D: Pie chart. A pie chart is the most appropriate choice for displaying percentage data because it visually represents parts of a whole, making it easy to compare the time spent on different tasks during the workday. Each segment of the pie chart corresponds to a specific task percentage, allowing Juan to quickly see the breakdown of his time. Explanation of Incorrect Choices: A: Line plot - Line plots are used to show trends over time or continuous data points, not ideal for comparing percentages of different tasks. B: Bar graph - Bar graphs are suited for comparing categories or discrete data points, not the best choice for displaying percentages. C: Line graph - Line graphs are typically used to show trends and relationships between variables, not suitable for displaying percentages of different tasks.

Correct Answer: B

Rationale: The correct answer is B (1.07548) because it has the largest value among the given numbers. To determine this, we compare the numbers using their place values. The number with the largest value is the one with the highest digit in the leftmost place. In this case, 1.07548 has the largest value as it has 1 in the ones place, which is greater than 1 in the tenths place in A and C, and the highest value in the thousandths place compared to D. Choices A, C, and D have smaller values because their leftmost digit is smaller than the corresponding digit in B.

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given r = 3 inches, C = 2π(3) ≈ 18.85 inches. The closest estimate is C: 18 inches. Choice A is too small, B is slightly closer but still underestimated, and D is too large. Therefore, C is the best estimate based on the calculated circumference using the given radius.