1. 2.2 Solving Two Step Equations: Equivalent Equations: equations that have the same solutions. Isolate: Get a variable with a coefficient of 1 alone on one side of the equation. Inverse Operations: Opposite operations that undo other operations.

2. GOAL:

3. REAL-WORLD: You are making a bulletin board to advertise the MAC concert. You plan to use half of a sheet of paper for each flyer. You need 5 sheet of paper for a title banner. If you have 18 sheets of paper, how many flyers can you make?

4. We can find the solution to two step equations by using inverse operations. We start to solve the equation by doing one inverse operation at a time.

5. SOLUTION: Let a = number of flyers you can make +5  flyer needed for the banner To solve this problem, we must create an equation and solve it: 18  total number of papers we have

6. SOLUTION: Inverse of addition Like terms addition Inverse of divide Multiplication

7. YOU TRY IT: Solve for the variable. Check. 2x – 3 = 5

8. Solve 2x – 3 = 5 Notice that we use the inverse of addition and then The inverse of multiplication to isolate the variable. + 3 + 3 2x = 8 Check: 2x - 3 = 5 2(4)- 3 = 5 8 - 3 = 5 5 = 5 ___ __ 2 2 x = 4 Solution:

9. Notice that we use the inverse of division and then The inverse of addition to isolate the variable. b+3 = - 5 b = -8 - 3 -3

10. YOU TRY IT: What is the solution to

11. SOLUTION: inverse of add Add Like terms inverse of divide

12. VIDEOS: Two Step Equations Two Step: http://www.khanacademy.org/math/algebra/solvi ng-linear-equations-and- inequalities/equations_beginner/v/two-step- equations

13. Class Work: Pages: 91 – 93 Problems: As many as you need to master the concepts.