TEAS Math Practice Test

Correct Answer: D

Rationale: The factors of a number are the integers that can divide the number without leaving a remainder. To find the factors of 12, we start with 1 and check each integer up to 12. 1, 2, 3, 4, 6, and 12 are all factors of 12 because they divide evenly into 12. Choice D is correct because it lists all the factors of 12. Choices A, B, and C include numbers that are not factors of 12, making them incorrect.

Correct Answer: C

Rationale: The number -4 is classified as real, rational, and integer. 1. Real: -4 is a real number as it exists on the number line. 2. Rational: -4 can be expressed as -4/1, which is a ratio of two integers. 3. Integer: -4 is a whole number that includes negative numbers. Therefore, the correct answer is C. Summary: A: Incorrect, as it includes "natural," which does not apply to negative numbers. B: Incorrect, as it includes "natural," which is only positive integers. D: Incorrect, as -4 is rational, not irrational.

Correct Answer: A

Rationale: To simplify (x^2 + 2x)/(x), we first factor out x from the numerator to get x(x + 2). This simplifies to x + 2 since x/x = 1. Therefore, the correct answer is A: x + 2. Choice B is incorrect because it represents the original expression without simplification. Choice C is incorrect as it is the factored form of the original expression. Choice D is incorrect as it does not simplify to the correct form.

Correct Answer: A

Rationale: To express 0.0523 as a fraction, we need to consider the decimal places. Since 0.0523 has 4 decimal places, we place the digits after the decimal point over the place value of the last digit, which is 10000. Therefore, the fraction is 523/10000, making choice A the correct answer. Choices B, C, and D are incorrect as they do not reflect the correct placement of decimal digits relative to the decimal point and the corresponding place value.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - Actual Value| / Actual Value) x 100%. In this case, the calculation is: (|36 - 35.75| / 35.75) x 100% = (0.25 / 35.75) x 100% ≈ 0.70%. Therefore, the correct answer is A (0.70%). Choice B (0.01%) is too small, choice C (0.99%) and choice D (0.10%) are too large compared to the calculated relative error of 0.70%.