1. Objective- To use the distributive property to simplify variable expressions. Distributive Property a(b + c) = ab + ac Order of OperationsDistributive Property 6(3 + 5) 6(8) 48 6(3) + 6(5) 18 + 30 48 Why distribute when order of operations is faster ?

2. Use the distributive property to simplify. 1) 3(x + 7) 2) 2(a + 4) 3) 7(8 + m) 4) 3(4 + a) 5) (3 + k)5 6) x(a + m) 7) 4(3 + r) 8) 2(x + 8) 9) 7(2m + 3y + 4) 10) (6 + 2y + a)3 3x 2a 56 12 15 ax + mx 12 + 4r 2x + 16 14m + 21y + 28 18 + 6y + 3a + 21 + 8 + 7m + 3a + 5k

3. Use the distributive property to simplify. 1) 4(y + 7) 2) 3(b + 6) 3) 5(9 + m) 4) 5(4 + a) 5) (7 + k)6 6) a(c + d) 7) 8(3 + r) 8) 4(x + y + 1) 9) 5(2m + 3 + t) 10) (11 + 2y)+3y 4y + 28 3b + 18 45 + 5m 20 + 5a 42 + 6k ac + ad 24 + 8r 4x + 4y + 4 10m + 15 + 5t 11 + 5y

4. Geometric Model for Distributive Property 3 7 4 Two ways to find the total area. Width by total lengthSum of smaller rectangles 4(3 + 7)

5. Geometric Model for Distributive Property 3 7 4 Two ways to find the total area. Width by total lengthSum of smaller rectangles 4(3 + 7)4(3) + 4(7) 4(3)4(7) =

6. Geometric Model for Distributive Property 4 x 9 Two ways to find the total area. Width by total lengthSum of smaller rectangles 9(4 + x)9(4) + 9(x) =

7. Find the missing factor. 1) 2) 3) 4) 5) Factoring

8. GCF - Greatest Common Factor Factoring Find the GCF of the following mentally. 1) 2) 3) 4)

9. Factoring Factor the following expression. 1) 2) 3) 4) One type involves the Distributive Property in reverse.

10. Factor the following expression. 5) 6) 7) 8) Factoring One type involves the Distributive Property in reverse.

11. Like terms - variable terms that differ only in their coefficients. Like Terms Unlike Terms 7x 3x 5y y 10xy 2yx 7x 3y 5y 2a 3ab Like Terms

12. Simplify by combining like terms. 1) 7x + 4y + 2x + y 2) 3m + 10n + 4m + 1 3) 7x + 3y 4) 6x + (5x) + 2x + 3 5) 4k + (2j) + 6k + j 6) 10 + 4x + 3y + 17x 7) 8) 9x 7m 7x + 3y 13x 10k 21x + 5y + 10n+ 1 + 3 + 3j + 3y+ 10

13. Simplify the expression using the Distributive Property and then combining like terms. 1) 2) 3) 4)

14. Simplify each variable expression. 5) 7(x + 4) + 2x 6) 5x + 3(x + 1) 7) a + 2(4 + a ) + 1 7x + 28 + 2x 9x+ 28 5x + 3x + 3 8x+ 3 a + 8 + 2a + 1 3a+ 9 8) 3(b + 2) + 6b 9) 2(3m + 1) + 4m 10) 3(k + m) + 5(k + 2m) 3b + 6 + 6b 9b+ 6 6m + 2 + 4m 10m+ 2 3k + 3m 8k+ 13m + 5k + 10m