Linear Equations in 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 a variable in a linear equation?

Back

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

Front

Solve the linear equation: 5z + 2 = 6

Back

z = 4 / 5

Front

Solve the linear equation: ¾ x = 27

Back

x = 36

Front

Solve the linear equation: x / 7 = -8

Back

x = -56

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

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

Back

x = 3

Front

Solve the linear equation: 12 - 5 ( x - 7 ) = 2x + 12

Back

x = 5

Front

What is the first step in solving the equation 5z + 2 = 6?

Back

Subtract 2 from both sides to isolate the term with the variable.

Front

What is the solution to the equation ¾ x = 27?

Back

x = 36