1. Bell Quiz

2. Objectives Simplify expressions using Distributive Property. Combine like terms. Solve equations using inverse operation and Properties of Equality.

3. Solve Multi-Step Equations Equations that are more complex may have to be simplified before they can be solved. More than two steps may be required to solve them. –Step 1: If there are like terms on one side of an equation, combine them first. –Step 2: Then apply inverse operations and the properties of equality to finish solving the equation.

4. Example 1 Combining Like Terms Solve. 5x + 8 – 3x + 2 = 20

5. Lesson Practice Solve. 3x + 2 – x + 7 = 16

6. Solve Multi-Step Equations Complex equation can contain symbols of inclusion. To eliminate the symbols of inclusion we must: –Step 1: Use the Distributive Property –Step 2: Combine like terms on each side of the equation. –Step 3: Apply inverse operations and the properties of equality to finish solving the equation.

7. Example 2 Using Distributive Property Solve x + 3(2x + 4) = 47

8. Lesson Practice Solve 6(x – 1) = 36

9. Lesson Practice Solve 5x – 3(x – 4) = 22

10. Example 3 Simplifying before Solving Solve 5x – (x – 3) – 1 = 18

11. Lesson Practice Solve 2x + (x – 2) + 4 = 17

12. Example 4 Application: Landscaping Jim is building a right triangular flower bed. One of the acute angles will measure twice the other acute angle. What are the measures of the two acute angles?

13. Lesson Practice Juan is building a triangular shelf. He wants one angle to be right angle and the other two angles to have the same measure. What are the measures of the angles.