TEAS Practice Math Test

Correct Answer: C

Rationale: To calculate what Erma will spend, we first find the cost of the cheaper sweater after the discount, which is $44 - (25% of $44) = $44 - $11 = $33. Then, we add the cost of the more expensive sweater, which remains at $50. Therefore, Erma will spend $33 + $50 = $83. The correct answer is C. Option A is incorrect because it does not consider the discount on the cheaper sweater. Option B is incorrect as it underestimates the total cost by not factoring in the discount. Option D is incorrect as it overestimates the total cost by not considering the discount on the cheaper sweater.

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.

Correct Answer: B

Rationale: The best estimate of the total number of pounds of potatoes on the farmer's trailer can be calculated by finding the average weight per bag and then multiplying it by the total number of bags. Since each bag contains between 23 to 27 pounds, we can estimate the average weight per bag to be around 25 pounds. With 150 bags, the total weight would be approximately 150 bags * 25 pounds per bag = 3,750 pounds. Therefore, the best estimate is 3,700 pounds (Choice B). Choice A (3,000 pounds) is too low as it assumes the lowest possible weight per bag consistently. Choice C (4,100 pounds) is too high as it assumes the highest possible weight per bag consistently. Choice D (5,000 pounds) is also too high and overestimates the total weight based on the given information.

Correct Answer: A

Rationale: The correct answer is A (35). To find the number of students who chose blue, multiply the total number of students by the percentage that chose blue: 100 x 0.35 = 35. This calculation gives us the number of students who said blue is their favorite color. The other choices are incorrect because they do not correctly calculate the number of students who chose blue based on the given percentage. Choice B (25), C (20), and D (10) do not accurately represent 35% of the total number of students. Therefore, choice A is the correct answer based on the calculation method provided.

Correct Answer: C

Rationale: To determine the order from least to greatest, convert all fractions to decimal equivalents. -2 3/4 = -2.75 -2 7/8 = -2.875 -1/5 = -0.2 1/8 = 0.125 2/5 = 0.4 Now arrange them in ascending order: -2.875, -2.75, -0.2, 0.125, 0.4 Therefore, the correct order from least to greatest is -2 7/8, -2 3/4, -1/5, 1/8, 2/5 (Option C). Other choices are incorrect as they do not follow the correct order of the numbers when arranged from least to greatest.