TEAS Practice Test Math

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: The correct answer is C because a composite number is a number that has more than 2 factors. Factors are numbers that can divide the given number without leaving a remainder. Composite numbers are not prime numbers, which have exactly 2 factors - 1 and the number itself. For example, 6 is a composite number because it has factors 1, 2, 3, and 6. Choice A is incorrect because it describes a prime number, not a composite number. Choice B is incorrect as being a fraction doesn't determine if a number is composite. Choice D is incorrect because a number with exactly two factors is a prime number, not a composite number.

Correct Answer: C

Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 87.5% divided by 100 is 0.875. Therefore, choice C, 0.875, is the correct decimal form of 87.5%. Choices A and B are incorrect as they do not represent the correct decimal value. Choice D, 8.75, is also incorrect as it is the decimal form of 875%.

Correct Answer: A

Rationale: To convert yards to feet, you multiply by 3 because there are 3 feet in 1 yard. To convert feet to yards, you divide by 3. So, the correct answer is A. For the other choices, B, C, and D, the conversion factors are incorrect and do not match the actual relationship between yards and feet. B and D have incorrect multiplication factors, while C has an incorrect multiplication factor and division factor.

Correct Answer: D

Rationale: To find the correct amount of vanilla in mL, first, multiply 5.5 (teaspoons) by 4.93 (mL per teaspoon) to get 27.115 mL. Then round to the nearest whole number, giving 27 mL. Therefore, choice D is correct. Choices A, B, and C are incorrect as they do not result from the correct conversion calculation.