Chapter 2 Lesson 2Solving Two-Step

Equations

Teacher: Jimmy Frost

What is a Two-Step Equation?

An equation written in the form

Ax + B = C

What to know…

• Make sure your equation is in the form Ax + B = C

• Keep the equation balanced.• Use opposite operations to “undo”

• Follow the rules:1. Undo Addition or Subtaction2. Undo Multiplication or Division

Opposite Operations

Addition Subtraction

Multiplication Division

Examples of Two-Step Equations

a) 3x – 5 = 16

b) y/4 + 3 = 12

c) -n + 4 = 6

d) n/2 – 6 = 4

Helpful Hints?

Identify what operations are on the variable side. (Add, Sub, Mult, Div)

“Undo” the operation by using opposite operations.

Whatever you do to one side, you must do to the other side to keep equation balanced.

Ex. 1: Solve 4x – 5 = 15

4x – 5 = 15 +5 +5 (Add 5 to both sides)4x = 20 (Simplify) 4 4 (Divide both sides

by 4)x = 5 (Simplify)

Ex. 2: Solve x/3 + 4 = 9

x/3 + 4 = 9 - 4 - 4 (Subt. 4 from both

sides)x/3 = 5 (Simplify)

(x/3) 3 = 5 3 (Mult. by 3 on both sides)

x = 15 (Simplify)

Try These Examples1. 2x – 5 = 17

2. -10 = -6 + 2c

3. -b + 5 = -16

4. 41 = 2/5 x - 7

Check your answers!!!1. x = 11

2. c = -2

3. b = 21

4. x = 120

Try These Examples1. 2x – 5 = 17 2. -10 = -6 +

2c

3. -b + 5 = -16 4. 41 = 2/5 x - 7

Ready to Move on?

That’s All!