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 x + 15 = 10?

Back

Subtract 15 from both sides to isolate x.

Front

What is the solution to the equation 2x = 10?

Back

x = 5.

Front

How do you check if x = 5 is a solution for the equation 2x = 10?

Back

Substitute 5 for x in the equation: 2(5) = 10, which is true.

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 solution to the equation 18 + m = 8?

Back

m = -10.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the solution to the equation x - 8 = -5?

Back

x = 3.

Front

What does the term 'coefficient' mean in a linear equation?

Back

A coefficient is a number that is multiplied by a variable in an equation.