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

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

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: 4k + 24 = 6k - 10

Back

k = 17

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: 11z - 5 = 9z + 7

Back

z = 6

Front

What is a 'like term' in algebra?

Back

Terms that have the same variable raised to the same power.

Front

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

Back

y = 3

Front

What is the principle of equality in solving equations?

Back

If you perform the same operation on both sides of an equation, the two sides remain equal.

Front

Solve: 13y - 18 = -5y + 36

Back

y = 3