subtract and simplify
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HESI A2

HESI A2 Math Portion

1. Subtract and simplify: -5 - (-6) =

Correct answer: C

Rationale: To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.

2. If a parent changes their baby 6 times a day, how many diapers will be needed in a year?

Correct answer: A

Rationale: To calculate the number of diapers needed in a year with 6 diaper changes per day, multiply the daily diaper changes (6) by the days in a year (365): 6 x 365 = 2190 diapers required. This calculation ensures an ample supply of diapers for maintaining the infant's hygiene and comfort. The other choices are incorrect because they do not accurately account for the number of diaper changes per day multiplied by the days in a year. Choice B (2100 diapers) is too low, while choices C (2160 diapers) and D (2140 diapers) are too high based on the calculation. Understanding the frequency and quantity of diaper changes is crucial for supporting the infant's health and well-being. Therefore, the correct answer is 2190 diapers.

3. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?

Correct answer: A

Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.

4. What is the probability of rolling a 3 on a six-sided die?

Correct answer: A

Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.

5. Convert 3/8 to a decimal.

Correct answer: D

Rationale: To convert 3/8 to a decimal, divide 3 by 8: 3 ÷ 8 = 0.375. The correct answer is 0.375. Choice A (0.25), Choice B (0.25), and Choice C (0.3) are incorrect because they do not represent the equivalent decimal value of 3/8.

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