TEAS Practice Math Test

Correct Answer: B

Rationale: The correct answer is B: b = 5w + 10. To determine the correct equation, we can analyze the data in the table given. We can observe that when the number of weeks increases by 1, the number of books checked out increases by 5. This indicates a constant rate of increase of 5 books per week, which aligns with the equation b = 5w + 10. The initial value of 10 represents the number of books already checked out before week 1. Choices A, C, and D do not exhibit a constant rate of increase or the correct initial value based on the data provided.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: The correct order from least to greatest is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. To determine this: 1. Start with the integers: -8 is the smallest, followed by -7 4/5. 2. Then, consider the fractions: -3/4 is smaller than -7 4/5. 3. Next, compare the decimals: 0.25 is smaller than 18% (which is equivalent to 0.18). 4. Finally, compare 2.5 with the rest; it is the largest. Explanation for incorrect choices: - Choice A: Incorrect order as -8 is greater than -7 4/5. - Choice B: Incorrect order as -3/4 should come before -7 4/5. - Choice C: Incorrect order as 2.5 should be the largest, not the smallest in the list.

Correct Answer: D

Rationale: To find the total bonus amount, we need to work backwards. Since Chan has $600 remaining after paying taxes, donating, and paying off debt, this $600 represents 15% of his original bonus (100% - 30% - 30% - 25% = 15%). Therefore, $600 is equivalent to 15% of the bonus. To find the total bonus amount, we divide $600 by 15% (or 0.15), which equals $4,000. Thus, the correct answer is D: $4,000. Choice A ($3,000) is incorrect because it does not account for the remaining $600. Choice B ($3,200) and choice C ($3,600) are also incorrect as they do not reflect the correct percentage left after all deductions, which is 15%.

Correct Answer: A

Rationale: To calculate the total cost, first multiply the daily rental cost by the number of days ($50 * 3 = $150). Then, multiply the cost per mile by the total miles driven ($0.25 * 120 = $30). Add these two amounts ($150 + $30 = $180). Therefore, the correct total cost is $180. Among the choices, only option A ($156) is incorrect as it does not match the calculated total cost. Option B ($190) is incorrect as it is higher than the correct total cost. Option C ($165) is incorrect as it is also higher than the correct total cost. Option D ($210) is incorrect as it is higher than the correct total cost.