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HESI A2

HESI A2 Math 2024

1. Divide: 5 ÷ 9 =

Correct answer: B

Rationale: When dividing 5 by 9, you are finding how many times 9 can fit into 5. Since 9 is greater than 5, the result will be less than 1. Therefore, 5 ÷ 9 equals 0.555... which is approximately 0.5. Choice A (0.05) is incorrect because it implies a smaller value than the correct answer. Choice C (5) is incorrect as it is not the result of dividing 5 by 9. Choice D (50) is incorrect as it is a much larger value than the correct answer.

2. The price of an item increased from $9.00 to $10.00. What percentage did the price increase by?

Correct answer: B

Rationale: To calculate the percentage increase, subtract the original price from the new price, then divide the result by the original price and multiply by 100. In this case, the increase is $10.00 - $9.00 = $1.00. $1.00 divided by $9.00 is approximately 0.1111, which equals 11.11%, making choice B the correct answer. Choice A, 5%, is too low as the increase is more than 5%. Choice C, 20%, and choice D, 25%, are too high, exaggerating the actual increase of $1.00.

3. A store is offering a 25% discount on all items. If an item costs $120, what is the discounted price?

Correct answer: A

Rationale: To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90. Therefore, the correct answer is $90. Choice B, $80, is incorrect as it does not consider the 25% discount. Choice C, $75, is incorrect as it is lower than the correct calculation. Choice D, $95, is incorrect as it does not reflect the reduction from the discount.

4. Solve for x: 4x + 2 = 18.

Correct answer: B

Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.

5. What is 20% of 2?

Correct answer: A

Rationale: To find 20% of a number, you multiply the number by 0.20. In this case, 0.20 * 2 = 0.4. Therefore, 0.4 is 20% of 2. Choice A (0.4) is correct. Choice B (0.2) is incorrect because it represents 10% of 2, not 20%. Choice C (0.3) is incorrect as it is not the result of calculating 20% of 2. Choice D (0.1) is incorrect as it represents 5% of 2, not 20%.

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