solve for x 3x 5 10
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HESI A2

HESI A2 Math Practice Test 2022

1. Solve for x: 3x - 5 = 10

Correct answer: A

Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.

2. What does Endogenous mean?

Correct answer: B

Rationale: The correct answer is B: 'Produced within the body.' Endogenous refers to substances or processes that originate or are produced within an organism or system. Choices A, C, and D are incorrect. Choice A, 'Produced outside the body,' is the opposite of endogenous. Choice C, 'Taken from an external source,' describes exogenous rather than endogenous. Choice D, 'Linked to environmental factors,' is not a direct definition of endogenous.

3. What is the molarity of a solution containing 45 moles of NaCl in 4 liters?

Correct answer: A

Rationale: To calculate the molarity of a solution, you use the formula: Molarity (M) = moles of solute / liters of solution. In this case, M = 45 moles / 4 L = 11.25 M. The correct answer is 0.11 M NaCl. Choice B is incorrect as it doesn't match the calculated value. Choice C is also incorrect as it is significantly higher than the correct molarity. Choice D is incorrect as it is excessively high compared to the calculated value.

4. Which chemical reaction involves the breaking of a compound into its components?

Correct answer: A

Rationale: The correct answer is A: Decomposition reaction. A decomposition reaction involves breaking down a compound into its components. During this reaction, a single compound breaks down into two or more simpler substances. This process is the opposite of a synthesis reaction where multiple substances combine to form a more complex compound. Choices B, C, and D are incorrect because combustion reaction involves burning a substance in oxygen, neutralization reaction involves the reaction between an acid and a base to form water and a salt, and single displacement reaction involves an element displacing another in a compound.

5. If x = -2 and m = -3, evaluate: xm - 2m

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

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