TEAS Practice Test Math - Nurselytic

Correct Answer: A

Rationale: After the $400 down payment, the remaining balance is $1,170. With monthly payments of $100, it will take 12 months to pay off the remaining balance.
Therefore, the correct answer is 12 months.
Choice B (16) is incorrect as it exceeds the required timeframe.
Choice C (15) is incorrect as it is close but still one month over the correct timeframe.
Choice D (11) is incorrect as it underestimates the time needed to pay off the remaining balance.

Correct Answer: A

Rationale:
To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30.
Therefore, 30 is the least common denominator for these fractions.
Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.

Correct Answer: D

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Correct Answer: C

Rationale:
To find the combined work rate, you add the individual work rates: 1/2 + 1/3 = 5/6. This means that together, they can mow 5/6 of the lawn per hour.
To determine how long it would take for both A and B to mow the entire lawn, you take the reciprocal of 5/6, which gives you 6/5 or 1.2 hours.
Therefore, it would take 1.2 hours for person A and person B to mow the lawn together.
Choice A (5 hours) is incorrect because it does not consider the combined efficiency of both workers.
Choice B (2.5 hours) is incorrect as it does not reflect the correct calculation based on the combined work rates of the two individuals.
Choice D (1 hour) is incorrect as it doesn't consider the fact that the combined rate is less than the individual rate of person A alone, thus taking longer than 1 hour.

Correct Answer: A

Rationale: An equivalent fraction is a fraction that may look different in terms of its numerator and denominator but still represents the same value or quantity. This means that when you simplify or expand a fraction, its value remains unchanged.
Choice B and C are incorrect because equivalent fractions are not determined by being smaller or larger than another fraction; it is about representing the same quantity.
Choice D is incorrect because equivalent fractions may have different numerators as long as the ratio between the numerator and denominator remains the same.