3.3 Solving Multi-Step Equations To use two or more steps to solve equations.

Solving a Linear Equation Sometimes solving a Linear Equation can require using more then one step to undo operations When solving Multi-Step Linear equations, make sure you Simplify each side of the equation (each expression) if needed before undoing any operations.

Ex 1: Multi Step w/Multiplication

CHECK! 3x + 7 = -8 3(-5) + 7 = = = -8 True! -5 is a solution to this equation!

Now You Try… 1. 6x – 15 = 9 2. –4 + 7x = – = 5 + 2y 4. –3x + 1 = –8 -2 = yx = 4 x = -1 x = 3

Ex 2: Multi Step w/Division

Ex 2B: Multi Step w/Division Since the entire left side is being divided by 9, I have to undo that operation first!

Compare…

You Try!

Ex 3: Multi Step w/Fraction

Ex 4: Simplify First! Combine Like Terms!

Check 7x – 3x – 8 = 24! 7x – 3x – 8 = 24 7(8) – 3(8) – 8 = – 24 – 8 = = 24 TRUE 8 is a Solution!

You Try… 1.3r – r + 15 = a – 2 = = 12t – 5 – 3t r = 13 a = 6 2 = t

Use the Distributive Property 8 x – 2(x + 7) = 16 8 x – 2x – 14 = 16 6x – 14 = 16 6x = 30 x =5 Distribute Combine Like Terms Undo – 14 Undo 6 times

Let’s do another… 5x + 3 (x + 4) = 28 5x + 3x + 12 = 28 8x + 12 = 28 8x + 12 – 12 = 28 – 12 8x = 16 x = X = 2

You Try… 1.6(x + 2) = – 4(x + 1) = 8 3.3m + 2(m - 5) = 10 x = 1/2 x = -1 m = 3