Solving Equations with Variable on Both Sides

Front

Solve: 4k + 39 = 7k + 6

Back

k = 11

Front

Solve: 5k + 21 = 17k - 3

Back

k = 2

Front

Solve: 4(w + 3) = 2(5w + 6)

Back

w = 0

Front

Solve: 25x = 90 - 5x

Back

x = 3

Front

Solve: 8b + 10 = 3b + 25

Back

b = 3

Front

What is a variable in an equation?

Back

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

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 equations with variables on both sides?

Back

Isolate the variable by moving terms involving the variable to one side.

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.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.