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. What is 72 inches converted to feet?

Correct answer: B

Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.

3. Find x. 120:x = 40:0.5.

Correct answer: C

Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.

4. A scientific illustrator uses a scale of 3:1 for drawings of insects. If the length of a cicada in the drawing is 6 centimeters, how long is the actual cicada in real life?

Correct answer: A

Rationale: The scale of 3:1 means that for every 3 centimeters in the drawing, it represents 1 centimeter in real life. If the length of the cicada in the drawing is 6 centimeters, in real life, it would be 6 x 3 = 18 centimeters long. Therefore, the actual length of the cicada in real life is 18 centimeters. Choice B, 6.3 centimeters, is incorrect because it does not account for the scale factor. Choices C and D, 4.6 centimeters and 4.2 centimeters respectively, are also incorrect as they do not consider the 3:1 scale used in the drawing.

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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