TEAS Test Math Questions

Correct Answer: A

Rationale: To simplify (x^2 - y^2) / (x - y), we recognize it as a difference of squares, (x^2 - y^2) = (x + y)(x - y). Therefore, the expression simplifies to (x + y). The correct answer is A because when we divide (x + y)(x - y) by (x - y), the (x - y) terms cancel out, leaving us with x + y. Choices B, C, and D are incorrect because they do not consider the factorization of the numerator as a difference of squares, leading to incorrect simplifications.

Correct Answer: A

Rationale: To solve the inequality x > 5, we want to find all values of x that are greater than 5. This means x can be any number larger than 5 but not equal to 5. So, the correct answer is A. Choices B, C, and D are incorrect because they represent x being less than, greater than or equal to, and less than or equal to 5, respectively, which do not satisfy the original inequality x > 5.

Correct Answer: A

Rationale: To find the total pounds of apples Eric buys, we multiply the pounds he buys each week (5 1/2) by the number of weeks (4). 5 1/2 * 4 = 22 pounds. Thus, the correct answer is A (22 pounds). Other choices are incorrect because they do not correctly calculate the total pounds based on the given information. B, C, and D are not the correct results of multiplying 5 1/2 by 4.

Correct Answer: A

Rationale: To simplify (x^2 - y^2) / (x - y), we recognize it as a difference of squares, (x^2 - y^2) = (x + y)(x - y). Therefore, the expression simplifies to (x + y). The correct answer is A because when we divide (x + y)(x - y) by (x - y), the (x - y) terms cancel out, leaving us with x + y. Choices B, C, and D are incorrect because they do not consider the factorization of the numerator as a difference of squares, leading to incorrect simplifications.

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.