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: 7p - 5 = 6p + 8

Back

p = 13

Front

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

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve: 4 - 7f = f - 12

Back

f = 2

Front

What is a variable in an equation?

Back

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

Front

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

Back

x = -5.5

Front

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

Back

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

Front

Solve: 12 - 5k = k + 6

Back

k = 1