1. Extended Algebra Lesson 3 Math 7

2. Distributive Property The distributive property is illustrated below: 2(x + y) = 2x + 2y Think about what it means to have 2 next to a set of parenthesis.

3. Distributive Property What does it mean to have the 2 there? MULTIPLY 2 BY THE MEMBERS OF THE PARENTHESIS Picture it as “2 groups of (x + y)” Just think of regular multiplication: 3(4) means 3 times 4 (which is 12)….but it just means you have 3 groups of 4 4 + 4 + 4 = 12

4. Groups of…. 2 groups of (x + y) means: x + y + x + y which is 2x + 2y Instead of this, you can just “distribute” the 2 all the way through the members of the parenthesis (by multiplying). 2(x + y) means 2x + 2y

5. Distribute 5(m + n) = __________ 9(a + b) = __________ 7(x + 4) = __________ 8(2w – 5) = _________ 4(3x + 9) = _________ 6(-2x – 7) = _________

6. Distribute, Regroup, Combine 3(x – 9) + 4x + 13 7x + 5(x + 7) – 15 8x – 12 + 9(2x – 5)

7. Distribute, Regroup, Combine 3(-2x + 7) – 11 + 7x 5p – 9x + 4(-4x – 3) + 2(3p + 11)