TEAS Test Math Prep

Correct Answer: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.

Correct Answer: B

Rationale: To round 89632 to the nearest hundred, we look at the digit in the hundreds place, which is 6. Since 6 is greater than or equal to 5, we round up the hundreds place to the next hundred, making it 900. The correct answer is B. Choice A: 847.9 - Incorrect. This is not a correct rounding of 89632 to the nearest hundred. Choice C: 847.89 - Incorrect. This answer is not related to the rounding of 89632 to the nearest hundred. Choice D: 847.896 - Incorrect. This answer is not related to the rounding of 89632 to the nearest hundred.

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: C

Rationale: The correct answer is C (4). Sarah buys one red can of paint every month for four months. So, she buys 1 can each month, totaling 4 cans over 4 months. To find the total number of cans, we add 1 + 1 + 1 + 1 = 4. Therefore, Sarah bought 4 red cans in total. Choices A, B, and D are incorrect because they do not accurately reflect the total number of cans Sarah bought. Choice A (2) is incorrect because it only represents half of the cans she actually bought. Choice B (3) is incorrect because it does not account for the full four months. Choice D (5) is incorrect because it overestimates the number of cans purchased.

Correct Answer: C

Rationale: The correct answer is C: $500. Sarah earns $12/hour x 20 hours/week = $240/week. If she spends $50/week, her savings are $240 - $50 = $190/week. In 5 weeks, her total savings will be $190/week x 5 weeks = $950. Therefore, the correct answer is $950, which is not represented in the answer choices. Among the given choices, C: $500 is the closest to the calculated savings of $950. Choices A, B, and D are significantly higher than the calculated amount, making them incorrect options.