TEAS Test Math Questions

Correct Answer: B

Rationale: To solve the system of equations, we can use either substitution or elimination method. By substituting y = -2x into the second equation, we get x - 2(-2x) = 8, which simplifies to 5x = 8, leading to x = 8/5. Substituting x back into the first equation, we find y = -16/5. Therefore, the correct solution is (1.6, -3.2). Option B (1.8, -3.6) and (-1.8, 3.6) is incorrect as it does not match the calculated solution. Options A, C, and D are also incorrect as they do not correspond to the solutions obtained through the correct calculations.

Correct Answer: A

Rationale: To find the result of multiplying fractions, you simply multiply the numerators together and the denominators together. For 3/5 * 5/7: (3*5) / (5*7) = 15 / 35, which simplifies to 3/7. Thus, the correct answer is A: 3/7. Other choices are incorrect because they do not result from the correct multiplication process. B: 1 is the result of multiplying any fraction by its reciprocal, while C: 2 and D: 4 are not valid outcomes of this specific multiplication.

Correct Answer: A

Rationale: To find how many feet of wood remain, subtract the length cut off from the original length. 7 1/2 - 3 1/4 = 4 1/4. Therefore, the correct answer is A: 4 1/4 feet. Choice B, 4 1/2 feet, is incorrect as it does not match the subtraction result. Choice C, 3 1/2 feet, is incorrect as it does not account for the fraction left after subtracting. Choice D, 3 3/4 feet, is incorrect as it overestimates the amount left after the cut.

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: D

Rationale: To simplify the expression 3x - 5x + 2, we first combine like terms. 3x - 5x = -2x, so the expression becomes -2x + 2. Thus, the correct answer is D: -2x. Choice A is incorrect as it incorrectly combines the x terms without changing their signs. Choice B is incorrect as it only considers the x terms and ignores the constant term. Choice C is incorrect as it incorrectly combines the x terms without changing their signs.