Creating Linear Equations One Variable

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.

Front

How do you isolate the variable in a linear equation?

Back

To isolate the variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve the linear equation: 9x - 9 = 5x + 19

Back

x = 7

Front

Solve the linear equation: -12y = 108

Back

y = -9

Front

Solve the linear equation: 5z + 2 = 6

Back

z = 4/5

Front

Solve the linear equation: 8(3x - 5) = 9x + 5

Back

x = 3

Front

Solve the linear equation: x - 15 = -19

Back

x = -4

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning any operation performed on one side must also be performed on the other side.

Front

What is the solution to a linear equation?

Back

The solution to a linear equation is the value of the variable that makes the equation true.