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 on one side of the equation.

Front

Solve: 8x - 8 = -4x + 16

Back

x = 2

Front

What does it mean to 'combine like terms' in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

Solve: 2x = x + 3

Back

x = 3

Front

What is the purpose of using inverse operations in solving equations?

Back

To undo operations and isolate the variable.

Front

Solve: 1/2(s-12) = 1/4(s + 16)

Back

s = 40

Front

What is a variable in an equation?

Back

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

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

What does it mean to 'check your solution' after solving an equation?

Back

To substitute the solution back into the original equation to verify it satisfies the equation.

Front

Solve: 10x + 9 = 4x - 9

Back

x = -3