Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 3x - 5 = -26?

Back

Add 5 to both sides of the equation to isolate the term with the variable.

Front

Solve: 3x - 5 = -26

Back

x = -21

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable.

Front

What is the goal of solving a two-step equation?

Back

The goal is to find the value of the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve: -7(z - 6) = -70

Back

z = 16

Front

What is the first step in solving the equation -4x + 1 = 21?

Back

Subtract 1 from both sides of the equation.

Front

Solve: -4x + 1 = 21

Back

x = -5