TEAS Test Math Questions

Correct Answer: C

Rationale: The correct answer is C: Zero. When two numbers are equal, their difference is always zero. This is because the distance between two equal numbers on the number line is zero. Any other choice is incorrect because a negative or positive difference implies inequality, which contradicts the premise that the numbers are equal. Choice D is also incorrect as there is sufficient information to determine the difference between two equal numbers.

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 convert liters to kiloliters, we divide by 1000 since 1 kiloliter is equal to 1000 liters. In this case, 147 liters divided by 1000 equals 0.147 kiloliters, so the correct answer is A. Choice B is 10 times the correct answer, choice C is 100 times the correct answer, and choice D is 1000 times the correct answer, making them incorrect.

Correct Answer: C

Rationale: To solve for x, first add 5 to both sides to isolate the variable: 3x = 21. Next, divide by 3: x = 7. Therefore, the correct answer is C (8). Choice A (7) is incorrect as the correct answer is 8. Choices B (5) and D (9) are incorrect as they are not solutions to the equation.

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.