TEAS Math Practice Test

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, we divide 18 by 5 which equals 3 with a remainder of 3. So, 18/5 = 3 3/5. This mixed number is in its simplest form. Choice A is correct. Choices B, C, and D are incorrect as they do not represent the correct division of 18 by 5 resulting in the remainder of 3.

Correct Answer: C

Rationale: To find the fraction of blue shirts, we need to subtract the fractions of green and red shirts from 1 (total). Given that 1/4 are green and 1/3 are red, the fraction of blue shirts is 1 - 1/4 - 1/3 = 12/12 - 3/12 - 4/12 = 5/12. Therefore, the correct answer is C: 5/12. Choice A (1/2) is incorrect as it doesn't consider the given fractions of green and red shirts. Choice B (1/3) is incorrect as it only considers the fraction of red shirts. Choice D (1/4) is incorrect as it only considers the fraction of green shirts.

Correct Answer: B

Rationale: To convert miles to kilometers, we use the conversion factor: 1 mile = 1.60934 kilometers. Therefore, 4.67 miles is equal to 4.67 * 1.60934 = 7.504 km. Rounding to three significant digits gives us 7.51 km, which is the correct answer (B). Choice A (7.514 km) is incorrect as it has been rounded to four significant digits. Choice C (2.90 km) and choice D (2.902 km) are incorrect as they are much smaller values due to incorrect calculations or rounding.

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: 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.