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: 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 convert grams to milligrams, you need to multiply by 1000 because 1 gram = 1000 milligrams. Therefore, to find how many milligrams are in 5 grams, you would multiply 5 grams by 1000, resulting in 5000 milligrams. Option D is correct. Option A is incorrect as it represents a conversion from grams to micrograms, not milligrams. Option B is incorrect as it is a tenth of the correct answer. Option C is incorrect as it is only a hundredth of the correct answer.

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: To solve the equation 3(x - 1) = 2(3x - 9), first distribute the terms: 3x - 3 = 6x - 18. Then, isolate x by moving the variables to one side: 3x - 6x = -18 + 3. Simplify to get -3x = -15, and divide by -3 to find x = 5. Choice D is correct as it correctly solves the equation step by step. Choices A, B, and C are incorrect because they do not yield the correct solution when the equation is solved.