TEAS Test Math Questions

Correct Answer: A

Rationale: To simplify the expression 2x + 3x - 5, we combine like terms. First, add 2x and 3x to get 5x. Then, subtract 5 from 5x to get the final simplified expression: 5x - 5. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not correctly combine the like terms or subtract the constant term from the final result.

Correct Answer: C

Rationale: To make a 5:1 solution of water to HCl, we need 5 parts water and 1 part HCl. So, in 2.5 liters, 5/6 parts are water and 1/6 part is HCl. Therefore, 2.5 liters * 1/6 = 0.4167 liters of HCl. As 1 liter of HCl weighs approximately 5 grams, 0.4167 liters would be around 5 * 0.4167 = 2.08 grams. The closest option to this calculated weight is 5 grams (Choice C), making it the correct answer. Choices A, B, and D are incorrect as they do not correspond to the calculated amount of HCl needed for the solution.

Correct Answer: D

Rationale: To find the rate of change in height per month, we multiply the daily growth rate by the number of days in a month. 4.2 inches/day * 30 days = 126 inches/month. Therefore, the correct answer is D. Choice A is incorrect as it is the daily growth rate, not the monthly rate. Choice B is incorrect as it is the same as the daily growth rate, not the monthly rate. Choice C is incorrect as it is not the result of the correct calculation.

Correct Answer: D

Rationale: To determine the correct answer, we need to find the value of x in each proportion. For choice A, x = 4; for choice B, x = 8; for choice C, x = 6; and for choice D, x = 10. So, the correct answer is D because it yields a different value for x compared to the other choices. Choices A, B, and C all have x values that are multiples of 2, whereas choice D has a different x value. Therefore, choice D is the only proportion that yields a different number for the unknown compared to the others.

Correct Answer: D

Rationale: The correct answer is D: (7, 8). To find the fourth vertex of the parallelogram, we can use the property that opposite sides of a parallelogram are parallel and equal in length. By calculating the vector between the points (1, 2) and (3, 4) as (2, 2), we can extend this vector from the point (5, 6) to find the fourth vertex at (5 + 2, 6 + 2) = (7, 8). Option A is incorrect as it does not satisfy the parallelogram property. Option B does not maintain the same distance between points. Option C does not form a parallelogram with the given points.