Solve for x: 3(x - 4) = 18.

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HESI A2

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HESI A2 Practice Test Math Questions

Question 1 of 5

Solve for x: 3(x - 4) = 18.

Correct Answer: A

Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.

Question 2 of 5

There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an equal amount of candy. How many pieces of candy will each camper receive?

Correct Answer: A

Rationale: To determine how many pieces of candy each camper will receive, divide the total number of pieces of candy (225) by the number of campers (25): 225 · 25 = 9 pieces per camper. Therefore, each camper will receive 9 pieces of candy to ensure they all get an equal amount. Choice B, 7 pieces, is incorrect because the total number of candy pieces divided equally among 25 campers results in 9 pieces per camper, not 7. Choice C, 8 pieces, and choice D, 6 pieces, are also incorrect as they do not accurately reflect the division of 225 pieces of candy among 25 campers.

Question 3 of 5

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

Question 4 of 5

Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?

Correct Answer: A

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

Question 5 of 5

What is the result of adding 1/2 + 4/5?

Correct Answer: A

Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.

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