1. 4.2 DISTRIBUTIVE
PROPERTY
October 14, 2010

2. WARM UP
Begin this warm-up as soon as you enter the classroom.
Make sure you have copied down your homework for
tonight, and that you have out your homework due today.
Finish (if you haven’t already) page 169 - 171: 1 - 14
Page 172: 23 - 27
Go get a puzzle from the back of the room and
work quietly.

3. STANDARDIZED TEST
PRACTICE
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
a) t = 5(40) + 30
b) t = 5(40) - 5(30)
c) 40 + 30
d)5(40 + 30)

4. STANDARDIZED TEST
PRACTICE
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
a) t = 5(40) + 30
b) t = 5(40) - 5(30) There are two
ways to
solve this!
c) 40 + 30
d)5(40 + 30)

5. METHOD 1

6. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?

7. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the total number of cars
washed. Then multiply the charge per car.

8. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the total number of cars
washed. Then multiply the charge per car.
t = charge per car x total number of cars washed

9. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the total number of cars
washed. Then multiply the charge per car.
t = charge per car x total number of cars washed
t = 5 (40 +30)

10. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the total number of cars
washed. Then multiply the charge per car.
t = charge per car x total number of cars washed
t = 5 (40 +30)
t = 5 (70) = 350

11. METHOD 1
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the total number of cars
washed. Then multiply the charge per car.
t = charge per car x total number of cars washed
t = 5 (40 +30)
t = 5 (70) = 350

12. METHOD 2

13. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?

14. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the amount raised each day
then find their sum.

15. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the amount raised each day
then find their sum.
t = first day amount + second day amount

16. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the amount raised each day
then find their sum.
t = first day amount + second day amount
t = 5 x 40 + 5 x 30

17. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the amount raised each day
then find their sum.
t = first day amount + second day amount
t = 5 x 40 + 5 x 30
t = 200 + 150 = 350

18. METHOD 2
Your class held a two-day car wash. The class
washed 40 cars on the first day and 30 cars on the
second day. The class charged $5 for each car. Which
equation can be used to find t, the total amount of
money raised by the class?
Write an expression for the amount raised each day
then find their sum.
t = first day amount + second day amount
t = 5 x 40 + 5 x 30
t = 200 + 150 = 350

19. WATCH, LISTEN & LEARN
TAKE NOTES!!!
http://www.algebra.com/algebra/homework/
Distributive-associative-commutative-properties/
The-Distributive-Property.lesson

20. USING THE
DISTRIBUTIVE
PROPERTY
2 (50 + 6) =
10 (8.6 - 2.4)

21. EVALUATING USING
MENTAL MATH

22. EVALUATING USING
MENTAL MATH
6(87)

23. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3

24. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3
= 6(90 - 3)

25. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3
= 6(90 - 3)
= 6(90) - 6(3)

26. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3
= 6(90 - 3)
= 6(90) - 6(3)
= 540 - 18

27. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3
= 6(90 - 3)
= 6(90) - 6(3)
= 540 - 18
= 522

28. EVALUATING USING
MENTAL MATH
6(87)
Using mental math rewrite 87 as 90 -3
= 6(90 - 3)
= 6(90) - 6(3)
= 540 - 18
= 522

29. EVALUATING USING
MENTAL MATH

30. EVALUATING USING
MENTAL MATH
8(6.1)

31. EVALUATING USING
MENTAL MATH
8(6.1)
= 8 (6 + .1)

32. EVALUATING USING
MENTAL MATH
8(6.1)
= 8 (6 + .1)
= 8(6) + 8(.1)

33. EVALUATING USING
MENTAL MATH
8(6.1)
= 8 (6 + .1)
= 8(6) + 8(.1)
= 48 + .8

34. EVALUATING USING
MENTAL MATH
8(6.1)
= 8 (6 + .1)
= 8(6) + 8(.1)
= 48 + .8
= 48.8

35. EVALUATING USING
MENTAL MATH
8(6.1)
= 8 (6 + .1)
= 8(6) + 8(.1)
= 48 + .8
= 48.8

36. USING A FORMULA

37. USING A FORMULA
D=?
r=?
t=?

38. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
D=?
r=?
t=?

39. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
t=?

40. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
D = rt
t=?

41. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
D = rt
t=?
D = (4.78)(3)

42. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
D = rt
t=?
D = (4.78)(3)
D = (5)3 - (.22)3

43. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
D = rt
t=?
D = (4.78)(3)
D = (5)3 - (.22)3
D = 15 - .66 = 14. 34

44. USING A FORMULA
The Hubble Telescope orbited Earth at a rate of about
4.78 miles per second. How far did the telescope
travel in 3 seconds?
Distance = rate x time D=?
r=?
D = rt
t=?
D = (4.78)(3)
D = (5)3 - (.22)3
D = 15 - .66 = 14. 34 14.34 miles

45. PRACTICE
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