TEAS Practice Math Test

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: A

Rationale: The mode is the value that appears most frequently in a set of numbers. In this distribution, the number 1 appears the most times (5 times), making it the mode. Choice A is correct. Choices B, C, and D are incorrect because they do not represent the value that appears most frequently in the distribution.

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.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: The correct answer is A: x + 4 = (1/3)y - 2. To break down the equation: 1. "Four more than a number, x" can be represented as x + 4. 2. "2 less than 1/3 of another number, y" can be represented as (1/3)y - 2. 3. Combining the two expressions gives x + 4 = (1/3)y - 2, which correctly represents the given sentence. Other choices are incorrect because they do not accurately capture the relationship between x and y as described in the sentence. Choice B incorrectly sets 4x equal to 2 minus 1/3 of y, while choices C and D have incorrect signs and placements of terms.