1. Distributive Property:

2. Recall the distributive property of multiplication over addition . . .
symbolically:
a × (b + c) = a × b + a × c
and pictorially (rectangular array area model): b c a
a × b
a × c

3. using your mental math skills . . .
An example: 6 x 13
using your mental math skills . . .
symbolically:
6 × (10 + 3) = 6 × × 3
and pictorially (rectangular array area model): 10 3 6
6 × 10
6 × 3

4. Use the Distributive Property to write as an equivalent expression
Use the Distributive Property to write as an equivalent expression. Then evaluate the expression.
Multiply.
Add.
Answer: 52
Example 1-1a

5. Use the Distributive Property to write as an equivalent expression
Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. ***It doesn’t matter which side of the parenthesis the number is on. The property works the same.
Multiply.
Add.
Answer: 30
Example 1-1b

6. Use the Distributive Property to write as an equivalent algebraic expression.
Simplify.
Answer:
Example 1-3a

7. Use the Distributive Property to write as an equivalent algebraic expression.
Simplify.
Answer:
Example 1-3b

8. Use the Distributive Property to write each expression as an equivalent algebraic expression.
Answer:
Answer:
Example 1-3c

9. Practice Time

10. 1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?
(5 x 3) x (5 x 7)
(5 x 3) + (5 x 7)

11. 1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?
Correct!
(5 x 3) + (5 x 7)

12. 2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?
(3 x 9) + (3 x 4)
(3 + 9) + (3 + 4)
(3 + 9) x (3 + 4)

13. 2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?
(3 x 9) + (3 x 4)
Correct!

14. 3) Which of the following expressions is equivalent to: and shows the distributive property.
2 x (2 + 3)
3 x (2 + 3)

15. 3) Which of the following expressions is equivalent to: and uses the distributive property.
2 x (2 + 3)
Correct!

16. 4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ?

17. 4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ?
Correct!
4 x (3 + 8)

18. 5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ?

19. 5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ?
Correct!

20. 11) Which expression is equivalent to 3(x + 7)?

21. 11) Which expression is equivalent to 3(x + 7)?
Correct!
3x + 21

22. 12) Which expression is equivalent to 4(x + 5)?

23. 12) Which expression is equivalent to 4(x + 5)?
Correct!

24. 13) Which expression is equivalent to 8(x + 2)?

25. 13) Which expression is equivalent to 8(x + 2)?
Correct!

26. 14) Which expression is equivalent to 2(x + 3)?

27. 14) Which expression is equivalent to 2(x + 3)?
Correct!

28. Click below to see video

29. Click to Test Your Skills