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. Round to the nearest whole number: What is 18% of 600?

Correct answer: A

Rationale: To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since 108 is already a whole number, when rounding to the nearest whole number, it remains the same. Choices B, C, and D are incorrect as they do not represent the correct calculation for finding 18% of 600.

3. A medication dosage is listed as 1/2 teaspoon. What is the equivalent dosage in milliliters (1 teaspoon = 5ml)?

Correct answer: B

Rationale: Rationale: Given that 1 teaspoon is equal to 5ml, and the medication dosage is listed as 1/2 teaspoon, we need to find half of 5ml. 1/2 of 5ml = 5ml / 2 = 2.5ml Therefore, the equivalent dosage in milliliters for 1/2 teaspoon is 2.5ml.

4. If an investment earns 5% interest annually, how much interest will it earn in 1 year on a principal of $1,000?

Correct answer: B

Rationale: The correct answer is B: $50. To calculate the interest earned on an investment with a 5% interest rate on a principal of $1,000, you simply multiply the principal amount by the interest rate. 5% of $1,000 is $50. Therefore, the investment will earn $50 in interest in 1 year. Choice A, $40, is incorrect because it represents 4% interest instead of 5%. Choice C, $60, is incorrect because it overestimates the interest earned. Choice D, $55, is incorrect as it does not accurately reflect the 5% interest on the principal amount.

5. What is the result of adding 6 3/4 + 8 1/6?

Correct answer: A

Rationale: To add mixed numbers, convert them to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions to get 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 21 20/24 = 21 10/12 = 21 5/6 = 14 11/12. Therefore, the correct answer is 14 11/12. Choice B (12 3/4) is incorrect as it does not match the correct calculation. Choice C (12 3/24) is incorrect due to the erroneous denominator in the final fraction. Choice D (14 2/5) is incorrect as it does not correspond to the correct sum of the fractions.

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