TEAS Test Math Questions

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 solve |x| = 10, we consider both possibilities: x = 10 and x = -10 since the absolute value of x is always positive. So, the correct answer is A: -10, 10. Choice B, C, and D are incorrect because they do not reflect the correct solutions to the absolute value equation given.

Correct Answer: D

Rationale: To find the area of a circle, we use the formula A = πr^2, where r is the radius. Since the diameter is 16 cm, the radius is half of that, which is 8 cm. Plugging this into the formula, A = 3.14 * 8^2 = 3.14 * 64 = 200.96 cm^2. Therefore, the correct answer is D. Choice A: 25.12 - This is incorrect as it is much smaller than the correct answer. Choice B: 50.24 - This is incorrect as it is also smaller than the correct answer. Choice C: 100.48 - This is incorrect as it is still smaller than the correct answer.

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 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.