TEAS Test Math Prep

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.

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: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.