solve 8x x2
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HESI A2

HESI A2 Math Practice

1. Solve: 8x = x^2.

Correct answer: C

Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.

2. If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?

Correct answer: C

Rationale: To convert Fahrenheit to Celsius, you can use the formula:

3. Convert 3/8 to a decimal.

Correct answer: D

Rationale: To convert 3/8 to a decimal, divide 3 by 8: 3 ÷ 8 = 0.375. The correct answer is 0.375. Choice A (0.25), Choice B (0.25), and Choice C (0.3) are incorrect because they do not represent the equivalent decimal value of 3/8.

4. Rectangle: A picture frame measures 15cm by 20cm. What is its perimeter?

Correct answer: C

Rationale: To find the perimeter of a rectangle, you add the lengths of all sides. The formula for the perimeter of a rectangle is 2 * (length + width). In this case, the length is 15cm and the width is 20cm. Therefore, the perimeter = 2 * (15cm + 20cm) = 65cm. Choice A (30cm), Choice B (55cm), and Choice D (75cm) are incorrect as they do not correctly calculate the perimeter of the given rectangle.

5. Jenny lost 3.2 lbs each month for 6 months. How much weight has Jenny lost?

Correct answer: A

Rationale: To determine how much weight Jenny has lost, you need to multiply the weight lost per month (3.2 lbs) by the number of months (6). 3.2 lbs x 6 = 19.2 lbs. Therefore, Jenny has lost a total of 19.2 lbs. Choice B (15 lbs) is incorrect because it does not account for the total weight lost over the 6 months. Choice C (20 lbs) is incorrect as it overestimates the total weight lost. Choice D (18 lbs) is incorrect as it underestimates the total weight lost.

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