Solving Equations with Variables on Both Sides Review

Front

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

Back

Combine like terms on both sides of the equation.

Front

Solve for x: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve for x: -7x - 36 = 20 - 3x

Back

x = -14

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable.

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5

Front

What does it mean to have a variable on both sides of an equation?

Back

It means that the equation contains the same variable in expressions on both sides of the equal sign.

Front

Solve: 8x - 6 - 8 = 4 + 2x

Back

x = 3