Math Practice TEAS Test

Correct Answer: C

Rationale: The correct answer is C, the least common multiple of both denominators. To find the least common denominator of two fractions, you need to determine the smallest number that both denominators can evenly divide into. This is achieved by finding the least common multiple (LCM) of the denominators. The LCM is the smallest number that is a multiple of both denominators, ensuring that when you convert the fractions to have the same denominator, they will be in their simplest form. In contrast, option A is not correct as it refers to finding the least common multiple, not denominator. Option B is incorrect as it does not consider the need for the fractions to have the same denominator. Option D is also incorrect as it refers to the greatest common factor, which is not relevant when finding the least common denominator.

Correct Answer: B

Rationale: To calculate the total trip duration, first find the time taken for the first leg (305 miles at 65 mph = 305/65 = 4.69 hours). Then factor in the 15-minute stop (0.25 hours). Finally, calculate the time for the second leg (162 miles at 80 mph = 162/80 = 2.03 hours). Add all times together (4.69 + 0.25 + 2.03 = 6.97 hours), which is closest to choice B (6.69 hours). This is the correct answer as it considers the time for each leg and the stop accurately. Other choices are incorrect because they do not accurately calculate the total trip duration.

Correct Answer: B

Rationale: The correct answer is B (0.23). To find the percentage donated to support construction, we need to subtract the percentage that went towards construction costs from 100% (total). Therefore, 100% - 23% = 77%. This means that 77% of the funds were donated to support construction. Choice A (0.49), C (0.18), and D (0.1) are incorrect because they do not represent the correct percentage of funds donated to support construction after deducting the construction costs.

Correct Answer: A

Rationale: To solve for x in the equation x + 5 = x - 3, we need to isolate x. Subtract x from both sides to get 5 = -3. This is not possible, so the equation has no solution. Therefore, the correct choice is A: x = -5. This is because when x = -5, -5 + 5 = -5 - 3 simplifies to 0 = -8, which is false. Choices B, C, and D are incorrect because they do not satisfy the original equation when substituted back in.

Correct Answer: C

Rationale: A rational number can be expressed as a fraction or a decimal. A fraction is a ratio of two integers, and a decimal can represent a rational number, such as 0.5 (which is 1/2). Hence, a rational number can be a fraction, decimal, or a whole number. Options A and D are incorrect because a rational number is not limited to being a whole number or cannot be a decimal. Option B is partially correct but doesn't cover the full scope of possibilities for rational numbers. Option C is the correct answer as it encompasses all the possible representations of a rational number.