7.11A reteach: 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 does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable that make the equation true.

Front

Back

The first step is to add 10 to both sides of the equation to eliminate the constant term on the left side.

Front

Back

x = 3.

Front

Back

x = -6.1.

Front

How do you check if your solution is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

Back

x = 2.52.

Front

Back

Add 7 to both sides, then divide by -2 to isolate x.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can satisfy the equation.