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: x / 7 = -8

Back

x = -56

Front

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

Back

x = 3

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: -12y = 108

Back

y = -9

Front

What is the first step in solving the equation 4 ( x - 9 ) - ( x - 12 ) = 2x - 15?

Back

Distribute the 4 to (x - 9) and simplify both sides of the equation.

Front

Solve the linear equation: 4 ( x - 9 ) - ( x - 12 ) = 2x - 15

Back

x = 9

Front

What is the solution to the equation 2x - 3 ( x + 4 ) = -5?

Back

x = -7

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.