Solving One Variable Linear Equations

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written 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 an equation?

Back

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

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true.

Front

What is the solution to the equation -2 - 7m = 19?

Back

m = -3.

Front

What is the solution to the equation 72 = 4k + 12?

Back

k = 15.

Front

What is the solution to the equation 6x + 1 = 13?

Back

x = 2.

Front

What is the solution to the equation -33 = 15h - 3?

Back

h = -2.

Front

What is the solution to the equation 10z - 13 = -3?

Back

z = 1.

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

Subtract 8 from both sides to get 4x = 16.

Front

What is the importance of checking your solution in an equation?

Back

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