lulu is 5 years younger than her sister who is 7 years older than their 15 year old cousin how old is lulu
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HESI A2

HESI A2 Math 2024

1. Lulu is 5 years younger than her sister, who is 7 years older than their 15-year-old cousin. How old is Lulu?

Correct answer: C

Rationale: Let Lulu's sister's age be x. According to the given information, x = 15 (cousin's age) + 7 = 22. So, Lulu's sister is 22 years old. Since Lulu is 5 years younger than her sister, Lulu's age is 22 - 5 = 17. Therefore, Lulu is 17 years old. Choices A, B, and D are incorrect because they do not correspond to the calculations based on the information provided in the question.

2. What is the result of subtracting 4.7 from 9.5?

Correct answer: A

Rationale: The correct subtraction is 9.5 - 4.7 = 4.8. Therefore, the correct answer is 4.8. Choice B (4.9) is incorrect because 9.5 - 4.7 is not equal to 4.9. Choice C (4.6) is incorrect as it is not the result of subtracting 4.7 from 9.5. Choice D (4.7) is the number being subtracted and not the result of the subtraction.

3. What is the solution to the equation 4y - 6 = 14? Solve for y.

Correct answer: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

4. Convert 2/5 to a decimal.

Correct answer: C

Rationale: To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 ÷ 5 = 0.4. Therefore, the correct decimal representation of 2/5 is 0.4. Choice A (0.5) is incorrect because it represents 1/2, not 2/5. Choice B (0.25) is incorrect as it represents 1/4, not 2/5. Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.

5. What number is 44 equal to 25% of?

Correct answer: A

Rationale: To find the number, let it be x. The equation is 44 = 0.25 * x. Dividing both sides by 0.25 gives x = 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Choice A is correct because 176 is the number that 44 is equal to 25% of. Choices B, C, and D are incorrect as they do not satisfy the equation 44 = 0.25 * x.

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