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: 3x - 32 = -7x + 28

Back

x = 6

Front

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

Back

To isolate a variable means to get that variable alone on one side of the equation, making it easier to solve.

Front

Solve: 9x + 1 = 64

Back

x = 7

Front

What is the principle of balancing equations?

Back

Whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

Solve: 3x + 16 = 7x + 64

Back

x = -12

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.

Front

Solve: 12x + 1 = 6x - 47

Back

x = -8

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: 4k + 24 = 6k - 10

Back

k = 17