Solving Linear Equations

Front

What is a linear equation?

Back

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 is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

Solve for x: 2x + 5 = 13

Back

x = 4

Front

What is the solution to the equation 3y - 9 = 0?

Back

y = 3

Front

How do you solve the equation 4x = 20?

Back

Divide both sides by 4: x = 5.

Front

What does it mean to 'solve for a variable'?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

Back

Front

What is the first step in solving the equation 6z + 3 - 4z = 9?

Back

Combine like terms: 2z + 3 = 9.

Front

Solve for y: 2y + 7 = 11

Back

y = 2.