Multi Step Equations 1.) 3a + 2 + a 2.) 4.3(5.6 + c) + 9c Combine the following terms 1.) 3a + 2 + a 2.) 4.3(5.6 + c) + 9c 3.) n + 4n - 3 4.) -5b - 2(b - 1)

Go over Homework pg 268 #8-28 evens Pg 294 #6-8 even Practice Sheet 6-3 evens (rest e.c.)

Section 6-3 Multi Step Equations To write and solve multi step equations

Two Goals The goal in solving a Multi-step equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign. The other goal is to have the number in front of the variable (aka coefficient) equal to a positive one. 7n = -7 n = -1

3n + 9 + 4n = 2 7n + 9 = 2 7n + 9 = 2 -9 -9 7n = -7 / 7 / 7 *7 -9 Step 1 => Combine Like Terms 7n + 9 = 2 Step 2 => Use Do/Undo to solve the variable Do Undo 7n + 9 = 2 -9 -9 7n = -7 / 7 / 7 *7 -9 n = -1 / 7 +9

4 ( m + 3) = - 32 Step 1 => Use Distributive Property 4m + 12 = - 32 Step 2 => Use Do/Undo to solve the variable 4m + 12 = - 32 -12 -12 4m = - 44 / 4 / 4 Do Undo m = - 11 * 4 -12 +12 / 4

15 = -3(c-1) + 9 15 = -3c + 3 + 9 15 = -3c + 12 -12 -12 /-3 /-3 *-3 Step 1 => Use Distributive Property 15 = -3c + 3 + 9 Step 2 => Combine Like Terms 15 = -3c + 12 Step 3 => Use Do/Undo to solve the variable 15 = -3c + 12 -12 -12 Do Undo 3 = -3c /-3 /-3 *-3 -12 /-3 +12 -1 = c rewrite as c=-1

1.5 – 0.25(a + 4) = 3 + 3(0.05 – 0.5a) Step 1 => Use Distributive Property 1.5 – 0.25a - 1 = 3 + .15 – 1.5a Step 2 => Combine Like Terms .5 – 0.25a = 3.15 – 1.5a Step 3 => Get variables on one side (make sure the variable is positive) .5 – 0.25a + 1.5a = 3.15 – 1.5a + 1.5a .5 + 1.25a = 3.15

Step 3 => Get variables on one side Step 4 => Use Do/Undo to solve the variable .5 + 1.25a = 3.15 Do Undo - 0.5 - 0.5 * 1.25 - 0.5 1.25a = 2.65 + 0.5 / 1.25 / 1.25 / 1.25 a = 2.12

Homework Pg 274 6-18 & 28-30 even MUST show work, do not have to do do/undo chart unless you want to. MUST see steps for distributive and combining like terms

sssuc.weebly.com Go to C3 Ch6 Tab In pairs of two only, using white boards do the rags to riches game. Before the class is over If you win the game you have no homework Show me that you won it, or you’ll have to do the game again If you lose the game you have homework Practice Sheet 6-3 evens only Keep playing until you win or class is over.