solve for x 4x 2 18
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HESI A2

Math HESI A2 Practice Test

1. Solve for x: 4x + 2 = 18.

Correct answer: B

Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.

2. What is the result of multiplying 7.2 by 0.34?

Correct answer: D

Rationale: To find the result of multiplying 7.2 by 0.34, multiply these two numbers: 7.2 x 0.34 = 2.448. The correct answer is 2.448. Choice A, 14.12, is incorrect as it seems to be the sum of the two numbers. Choice B, 0.234, is incorrect as it is much smaller than the expected result. Choice C, 7.64, is incorrect as it is the result of adding the two numbers rather than multiplying them.

3. What is the function of the gallbladder in the digestive system?

Correct answer: B

Rationale: The gallbladder's main function is to store and concentrate bile produced by the liver. Bile is essential for the digestion and absorption of fats in the small intestine. Therefore, the correct answer is B, as the gallbladder acts as a reservoir for bile rather than producing it. Choices A, C, and D are incorrect because the gallbladder does not produce bile, detoxify harmful substances, or regulate blood sugar in the digestive system.

4. What does the author of the passage on the Electoral College seem to suggest?

Correct answer: B

Rationale: The correct answer is B. The author of the passage suggests that the Electoral College works as intended. Despite acknowledging its confusing nature and the possibility of results differing from the popular vote, the author highlights that the founding fathers had a purpose behind its design. Therefore, the Electoral College is viewed as functioning as intended. Choice A is incorrect because the author does not advocate for abolishing the Electoral College. Choice C is incorrect as there is no explicit mention of the need for reform. Choice D is incorrect as the author does not focus on the confusion caused to voters but rather on the system's original purpose.

5. Solve for x: x + 44 / 2x = 11.

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

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