Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 12x + 1 = 6x - 47?

Back

Subtract 6x from both sides to begin isolating the variable.

Front

Solve: 12x + 1 = 6x - 47

Back

x = -8

Front

What is the solution to the equation 10x + 17 = 15x - 73?

Back

x = 18

Front

What do you do after moving all variable terms to one side of the equation?

Back

Combine like terms and then isolate the variable.

Front

Solve: 4x - 3 = 6x - 19

Back

x = 8

Front

What is the solution to the equation 13x = -104?

Back

x = -8

Front

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

Back

To verify that the solution satisfies the original equation.

Front

Solve: 14x + 16 = 13x - 42

Back

x = -58