The document discusses the distributive property rule in algebra where a(b + c) = ab + ac. It provides examples of using the distributive property to simplify multiplication, such as 3(40 + 2) and 6(x + 9). Practice problems are given applying the distributive property to expressions like -2(8 + 7) and -5(-5 - 5). The document also shows using the distributive property to combine like terms in expressions.

1. The Distributive Property
Algebra 1 Unit 2 Lesson 7

2. Pre-requisites:
Multiplying integers
positive x positive =
positive x negative =
negative x negative =
Identifying like terms

5. Distributive Property Rule:
a (b + c) = ab + ac
3(40 + 2) -3(40 + 2) -3(-40 - 2)

6. Practice Problems:
6(6 + 3)
-2(8 + 7)
-5(-5 - 5)

8. Distributive Property Rule:
a (b + c) = ab + ac
3(x + 2) -3(x + 2) -3(-x - 2)

9. Practice Problems:
6(x + 9)
-2(x + 7)
-5(-x - 10)

10. You will get an A for math if you
can answer this in 3 seconds:
what is 5 x 37?

11. Use the concept of D.P. to make multiplication easier:
6 x 52 =
2 x 87 =
3 x 38 =
4 x 106 =

12. Solve:
2 (3x + 4y)

13. Combining like terms

15. 1 - 5+ 7 + 4- 3

16. 2x + 5x - 5x+ 2 - 7

17. 1 - 5 + 7 + 4 - 3

18. + 2x5x
2
- 5x
2
- 7+ 5

19. Card Activity