Variables on Both Sides Introduction

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

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

Back

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

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

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: -2x + 18 = 2x + 40

Back

x = -5.5

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side.

Front

Solve: 3x + 16 = 7x + 64

Back

x = -12

Front

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

Back

To verify that the solution satisfies the original equation.

Front

Solve: -3x + 20 = 2x - 40

Back

x = 12