Lesson 17 & 18

1. Lesson 17 & 18 Factors & Coefficients Terms The Distributive Property Addition of Like Terms

2. Terms • an algebraic expression • Example:

3. Distributive Property a(b + c) = ab + ac or a(b + c + d + …) = ab + ac + ad + …

4. Example 17.1 • Use the distributive property to find the value of: 4 (6 – 2 + 5 – 7)

5. Example 17.2 • Use the distributive property to expand: mn (x + y + 2p)

6. Example 17.3 • Use the distributive property to expand: (x – 3y + xz) mp

7. Example 17.4 • Use the distributive property to expand: -3 (2x – 4)

8. Like Terms • have the same variables in the same form or in equivalent forms • example: 2x + 3x – 4x + 5x

9. Addition of Like Terms • if the terms have the same kind of variable, add or subtract the coefficients and keep the variable part • remember: order does not matter in multiplication!!! • are 3xy and 4yx like terms?

10. Example 18.1 • Simplify by adding like terms: 3x + 5 – xy + 2yx – 5x

11. Example 18.2 • Simplify by adding like terms: 3xy + 2xyz – 10yx – 5yzx

12. Example 18.3 • Simplify by adding like terms: 4 + 7mxy + 5 + 3yxm - 15

13. Example 18.4 • Simplify by adding like terms: 3x – x – y + 5 – 2y – 3x – 10 – 8y

14. Example 18.5 • Simplify by adding like terms: -3 + xmy – y – 5 + 8ymx – 3y - 14