TEAS Practice Test Math

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: The correct answer is A because an exponent is a number that indicates how many times a base number is multiplied by itself. For example, in 2^3, 3 is the exponent telling us to multiply 2 by itself 3 times. Choice B is incorrect because an exponent is not the number being multiplied, but the number indicating how many times to multiply. Choice C is incorrect as an exponent does not involve division. Choice D is incorrect as it refers specifically to squaring a number, whereas exponents can apply to any power beyond just squaring.

Correct Answer: C

Rationale: The correct answer is C: 1.2 hours. To find the combined time it takes for both A and B to mow the lawn together, we use the formula: 1/(1/A + 1/B). Substituting A=2 and B=3 into the formula, we get 1/(1/2 + 1/3) = 1/(5/6) = 6/5 = 1.2 hours. This is the time it would take for both A and B to mow the lawn together. Summary of other choices: A: 5 hours - Incorrect. This answer is obtained by simply adding the individual times of A and B, which is not the correct method for combining their work rates. B: 2.5 hours - Incorrect. This choice is halfway between the individual times of A and B, which is not the correct way to calculate the combined time. D: 1 hour - Incorrect. This choice is

Correct Answer: A

Rationale: To find the expression for the length of the rectangle in terms of x, we first note that the length is six less than two times the width. Therefore, the expression for the length would be 2x - 6. This is because the length is equal to 2 times the width (2x) minus 6. Therefore, option A (2x - 6) is the correct answer. Option B (6-2x) is incorrect because it represents the width minus 2 times the width, which is not the correct relationship. Option C (6x-2) is incorrect because it represents 6 times the width minus 2, which is not the correct relationship. Option D (3x-4) is incorrect because it represents 3 times the width minus 4, which does not match the given relationship between the length and the width.

Correct Answer: C

Rationale: To find the amount the friend paid for their car, we need to set up an equation. Let x be the friend's car price. The consumer paid $48,000, which is $2,000 less than twice the friend's car price, so 2x - $2,000 = $48,000. Solving for x, 2x = $48,000 + $2,000 = $50,000, therefore x = $25,000. Choice C is correct. Choices A, B, and D do not satisfy the given condition in the question. A is less than $25,000, B is greater than $25,000 but not $2,000 less than twice, and D is greater than $25,000.