Question 1

Which of the following is a linear equation in one variable?

Accepted Answer

$$2x - 5 = 9$$

Question 2

What is the solution to the equation $$2x + 4 = 10$$?

Accepted Answer

$$x = 3$$

Question 3

Which of the following describes a conditional equation?

Accepted Answer

An equation that is true for only one value of the variable

Question 4

Solve for $$x$$: $$3(x - 2) = 2x + 1$$

Accepted Answer

$$x = 5$$

Question 5

Which of the following equations is an identity?

Accepted Answer

$$x + 2 = x + 2$$

Question 6

What is the solution to $$4x - 8 = 4x + 2$$?

Accepted Answer

No solution

Question 7

If $$2x + 3 = 2x + 3$$, what type of equation is this?

Accepted Answer

Identity

Question 8

Solve for $$h in $$the equation $$a = \frac{1}{2}bh$$

Accepted Answer

$$h = \frac{2a}{b}$$

Question 9

Which of the following is NOT a possible outcome when solving a linear equation in one variable?

Accepted Answer

Multiple distinct solutions

Question 10

Solve for $$x in $$the equation $$2x - a = b + 3a$$

Accepted Answer

$$x = \frac{b + 4a}{2}$$

Question 11

Which step should you perform first when solving a real-world linear equation problem?

Accepted Answer

Read the problem

Question 12

Given the equation $$5x - 2 = 3x + 6$$, what is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 13

Which of the following equations is a contradiction?

Accepted Answer

$$2x = 2x + 1$$

Question 14

Solve for $$x$$: $$4(x - 1) = 2x + 6$$

Accepted Answer

$$x = 3$$

Question 15

If you are given the formula $$A = lw$$ for the area of a rectangle, how would you solve for $$w$$?

Accepted Answer

$$w = \frac{A}{l}$$

Question 16

Which of the following is the correct sequence for solving a word problem involving linear equations?

Accepted Answer

Read, define variable, write equation, solve, state answer, check

Question 17

Solve for $$x in $$the equation $$10 - 2x = 6$$

Accepted Answer

$$x = 2$$

Question 18

Which of the following is a literal equation?

Accepted Answer

$$A = bh$$

Question 19

If $$x - 8 = x - 8$$, what is the solution set?

Accepted Answer

All real numbers

Question 20

Which of the following is NOT a step in the application of linear equations?

Accepted Answer

Graph the equation

Linear Equations in One Variable and Applications

Study Guide - Practice Questions