solve for x 3x 2 14
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HESI A2

HESI A2 Math Practice

1. Solve for x: 3x + 2 = 14

Correct answer: A

Rationale: To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12. Then, divide by 3 to solve for x: x = 4. Therefore, the correct answer is A, x = 4. Choice B, x = 2, is incorrect because it does not satisfy the equation. Choice C, x = 6, is incorrect as well since it does not satisfy the equation. Choice D, x = 3, is also incorrect as it does not satisfy the given equation.

2. Convert to metric: 7 grams = x milligrams

Correct answer: C

Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams is equal to 7,000 milligrams. Choice A (700 mg) is incorrect because it represents grams to milligrams incorrectly. Choice B (0.7 mg) is incorrect as it converts grams to milligrams erroneously by decimal placement. Choice D (0.07) is incorrect as it converts grams to milligrams inaccurately by misplacing the decimal point.

3. If 9 out of 75 band members missed practice, what percentage of band members missed practice?

Correct answer: B

Rationale: To calculate the percentage of band members who missed practice, divide the number of members who missed practice (9) by the total number of band members (75) and multiply by 100. (9/75) * 100 = 12%. Therefore, 12% of the band members missed practice. Choice A (10%) is incorrect because it is not the correct calculation result. Choices C (15%) and D (18%) are also incorrect as they do not reflect the accurate percentage of band members who missed practice.

4. In a scale drawing for a toy rocket, 1 inch = 6 inches. If the rocket is 6 inches tall on the drawing, how tall will it be in reality?

Correct answer: B

Rationale: In the scale drawing, 1 inch represents 6 inches in reality. If the rocket is 6 inches tall on the drawing, the actual height of the rocket would be 6 inches x 6 = 36 inches, which is equal to 3 feet or 1 yard. Therefore, the correct answer is 6 feet. Choice A is incorrect because the actual height is more than 1 foot. Choice C is incorrect as 36 inches is equivalent to 1 yard. Choice D is incorrect because 36 inches is not equal to 2 yards.

5. What is the ratio of women to the total number of students in the class?

Correct answer: A

Rationale: To find the ratio of women to the total number of students, you need to simplify the ratio of 16:28. By dividing both numbers by the greatest common factor, which is 4, you get 4:7. Therefore, the correct ratio of women to the total number of students is 4:7. Choice A is correct. Choices C and D are incorrect because they do not represent a valid ratio. Choice B is the original ratio given in the question, which should be simplified to 4:7 as explained in the rationale.

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