TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because an integer is defined as a whole number that can be positive, negative, or zero. Integers do not include fractions or decimals (eliminating choices B and C) or percentages (eliminating choice D). Integers are the set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} and do not include numbers with decimal points or fractions. Therefore, choice A is the only option that accurately describes what defines an integer.

Correct Answer: A

Rationale: The correct answer is A because the least common multiple (LCM) is the smallest number that both numbers can be multiplied into and still be divisible by both original numbers without leaving a remainder. Simply put, it is the smallest common multiple of the two numbers. The least common factor, on the other hand, is not a standard mathematical term. Choices B, C, and D are incorrect because they inaccurately describe the concept of least common multiple and least common factor. B describes the largest number rather than the smallest, C confuses division and multiplication, and D incorrectly defines both the least common multiple and least common factor.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

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: C

Rationale: Step-by-step rationale: 1. Jacob spends 87% of $100 = $87, leaving her with $13. 2. She invests $13 and earns a profit of 75%. 3. 75% of $13 = $9.75 profit. 4. Adding the profit to the remaining amount: $13 + $9.75 = $22.75. Therefore, Jacob now has $22.75. Summary of other choices: A: $13.00 - Incorrect, as this is the remaining amount before the investment. B: $87.00 - Incorrect, this is the amount Jacob initially spent. D: $9.75 - Incorrect, this is the profit earned from the investment, not the total amount Jacob now has.