what percentage of the homes did she sell
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HESI A2

HESI A2 Math 2024

1. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

2. What is 7 1/8 + 2 4/12 equal to?

Correct answer: A

Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.

3. What is the opposite of -3?

Correct answer: B

Rationale: The opposite of a number is the number that, when added to it, results in zero. In this case, the opposite of -3 is a number that, when added to -3, gives 0. Therefore, the opposite of -3 is 3, as -3 + 3 = 0. Choice A, -6, is incorrect because -3 + (-6) = -9, not zero. Choice C, 0, is the additive inverse of 0, not -3. Choice D, 6, is also incorrect as -3 + 6 = 3, not zero.

4. Change 0.26 to a fraction.

Correct answer: B

Rationale: To convert a decimal to a fraction, the decimal is written without the decimal point as the numerator. For 0.26, this gives 26. The denominator is based on the place value of the decimal, which is the number of decimal places the decimal has. In this case, 0.26 has two decimal places, so the fraction is 26/100, which simplifies to 13/50. Choice A (7/8) is incorrect as it does not represent 0.26. Choice C (26/100) is also incorrect because it is not in its simplest form. Choice D (1/3) is incorrect as it is not the correct equivalent fraction for 0.26.

5. What is 80% of $500?

Correct answer: D

Rationale: To find 80% of $500, you multiply 0.8 by 500. Therefore, 0.8 x 500 = $400. This means that option D, $400, is the correct answer. Option A, $425, is incorrect because it is higher than the calculated value. Option B, $450, is also higher than the correct answer. Option C, $350, is lower than the calculated value. Hence, the correct answer is D, $400.

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