Question 1

Which of the following is the correct first step to solve the equation $$3(2 - 5x) = 4x + 25$$?

Accepted Answer

Distribute the 3 to both terms inside the parentheses

Question 2

What is the solution to the equation $$2(x - 3) = 0$$?

Accepted Answer

$$x = 3$$

Question 3

Which operation should be performed first when solving the equation $$\frac{1}{4}(x + 2) - \frac{1}{3}x = \frac{1}{12}$$?

Accepted Answer

Multiply both sides by the least common denominator

Question 4

Solve for $$x$$: $$3x = 12$$

Accepted Answer

$$x = 4$$

Question 5

Which of the following best describes the equation $$x + 5 = x + 2 + 3$$ after simplification?

Accepted Answer

Identity

Question 6

What is the solution set for the equation $$x = x + 4$$?

Accepted Answer

No solution

Question 7

Which step is necessary to check your solution after solving a linear equation?

Accepted Answer

Replace $$x in $$the original equation with your solution

Question 8

Solve for $$x$$: $$9/2 + (1/4)(x + 2) = (3/4)x$$

Accepted Answer

$$x = 8$$

Question 9

Which of the following equations is inconsistent?

Accepted Answer

$$x = x + 4$$

Question 10

A chemist mixes two solutions. The equation $$5x + 17 = 8x + 12 - 3(x + 4)$$ models the total amount of a chemical. What is the value of $$x$$?

Accepted Answer

$$x = 3$$

Question 11

Solve for $$x$$ and categorize: $$\frac{x}{4} + \frac{1}{6} = \frac{x}{3}$$

Accepted Answer

$$x = 2$$, conditional equation

Question 12

Which of the following best describes the equation $$2x + 4 = 10$$?

Accepted Answer

Conditional equation

Question 13

A medical researcher uses the equation $$-2(5 - 3x) + x = 7x - 10 to $$model a process. What is the solution for $$x$$?

Accepted Answer

$$x = 0.8$$

Question 14

Which of the following is NOT a step in solving a linear equation with fractions?

Accepted Answer

Multiply both sides by $$x$$

Question 15

If you solve $$x + 2 = 0$$, what is the value of $$x$$?

Accepted Answer

$$x = -2$$

Question 16

Which of the following best describes an identity equation?

Accepted Answer

An equation that is true for all real numbers

Question 17

A business uses the equation $$2x + 3 = 11 to $$calculate profit. What is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 18

Which of the following is the correct order of steps for solving a linear equation?

Accepted Answer

Distribute constants, combine like terms, group $$x$$ and constants, isolate $$x$$, check solution

Solving Linear Equations: Introduction to Algebra (Intermediate Algebra Study Guide)

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