TEAS Math Practice Test

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: D

Rationale: Correct Answer: D (1 apple) Rationale: 1. Xavier starts with 20 apples. 2. He gives half to Emma, leaving him with 10 apples. 3. He gives 6 apples to Jim, leaving him with 4 apples. 4. He uses 3/4 of his remaining 4 apples for the pie, leaving him with 1 apple. Summary: - Choice A (4 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie. - Choice B (6 apples) is incorrect because Xavier gives 6 apples to Jim. - Choice C (2 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie.

Correct Answer: C

Rationale: To find the number of red cans Jessica bought, let's denote the number of red cans as 'x' and the number of blue cans as '10 - x'. The total cost equation is: 1*x + 2*(10-x) = 16. Simplify to x + 20 - 2x = 16, which gives x = 4. Therefore, Jessica bought 4 red cans. Explanation for other choices: A: 2 red cans would result in a total cost of $18, not $16. B: 3 red cans would result in a total cost of $17, not $16. D: 5 red cans would result in a total cost of $15, not $16.

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: 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.