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

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

Solve: -2x + 18 = 2x + 40

Back

x = -5.5

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms and move all variable terms to one side of the equation.

Front

Solve: 4 - 7f = f - 12

Back

f = 2

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve: 7p - 5 = 6p + 8

Back

p = 13

Front

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

Back

To verify that the solution satisfies the original equation.

Front

Solve: 12 - 5k = k + 6

Back

k = 1