TEAS Practice Test Math

Correct Answer: C

Rationale: To find the product of 1.6 and 0.93, we multiply the two numbers as usual: 1.6 * 0.93 = 1.488. The correct decimal placement for the product is C (1.488) because when multiplying decimal numbers, the total number of decimal places in the product should be equal to the sum of decimal places in the numbers being multiplied. In this case, 1.6 has one decimal place and 0.93 has two decimal places, totaling three decimal places. Therefore, the correct answer is 1.488, as it has three decimal places. Explanation for other choices: A: 14.88 - Incorrect as it has an extra decimal place. B: 0.1488 - Incorrect as it has one less decimal place. D: 0.001488 - Incorrect as it has more decimal places than the product of 1.6 * 0.93.

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: A

Rationale: To solve the equation 3(x-2) = 12 for x: 1. Distribute the 3 to both terms inside the parentheses: 3x - 6 = 12 2. Add 6 to both sides: 3x = 18 3. Divide by 3: x = 6 Choice A (6) is correct. Choice B (-2) results in x = 4, not 6. Choice C (-4) results in x = 2, not 6. Choice D (2) results in x = 8, not 6.

Correct Answer: B

Rationale: To find the ratio of girls to boys, we divide the number of girls by the number of boys. In this case, there are 26 girls and 22 boys. So, the ratio of girls to boys is 26:22, which simplifies to 13:11. Therefore, choice B (13:11) is the correct answer. Choice A (26:11) is incorrect because it incorrectly combines the total number of girls with the number of boys. Choice C (13:22) is incorrect because it reverses the order of girls and boys in the ratio. Choice D (11:13) is incorrect because it flips the ratio of girls to boys.

Correct Answer: A

Rationale: The correct answer is A because the greatest common factor is the largest factor that divides all the given numbers without a remainder. This factor is common to all numbers and is the greatest among all the common factors. Choice B is incorrect because the smallest factor does not account for all numbers. Choice C is incorrect as the greatest common factor is not a multiple, but a factor. Choice D is incorrect since the smallest multiple does not necessarily divide all the numbers without a remainder.