Solving Equations with Variables on Both Sides

Front

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

Back

Isolate one variable by moving all terms involving that variable to one side of the equation.

Front

Solve: 11z - 5 = 9z + 7

Back

z = 6

Front

What does it mean to isolate a variable in an equation?

Back

To rearrange the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve: -6y + 17 = 3y - 10

Back

y = 3

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

What is a variable in an equation?

Back

A symbol (often a letter) that represents an unknown value.

Front

Solve: 4k + 24 = 6k - 10

Back

k = 17

Front

What does it mean to check your solution in an equation?

Back

To substitute the solution back into the original equation to verify that both sides are equal.

Front

Solve: 7p - 5 = 6p + 8

Back

p = 13