Name:_________________________________
M3L4
Accordino-Math 7
Date:_________
Period:________
Lesson 4: Distributive Property
Bellringer
1) (2 points) Find the product for each of the following expressions below (remember
to use order of operations!)
a. 3(-4 + 5)=
b. (-3)(-4 + 5)=
2) Tim says the product of 5(6 – 1) can be rewritten as (5)(6)+(5)(-1) and you will still
get the same solution. Is he correct? Show work to support your answer
Name:_________________________________
M3L4
Accordino-Math 7
Date:_________
Period:________
Lesson 4: Distributive Property
Notes
REVIEW: Write the rules for multiplying signed numbers.
Ex 1) 3(– 4 + 5)= _______
Ex 2) (-3)(– 4 + 5)= _______
1.
2.
Today I will START by gently reminding you…
WATCH YOUR SIGNS!!! (I AM STILL YELLING!!!)
Remember the Distributive Property?
3(x + 9)
Meaning of the Distributive Property
Multiplying Using the Box Method
x
3
+9
Name:_________________________________
M3L4
Date:_________
Accordino-Math 7
Period:________
Example 1: 5(21 – 3b)
Example 2:
6(5x  3)  1
Remember to combine like terms after you multiply and to write your
answer in standard form!
Let’s keep trying!
 62a  3
6(3x + 6) – 12
Name:_________________________________
M3L4
Accordino-Math 7
Date:_________
Period:________
- 12x +10(4x + 15)
 15(2c  1)  1  b
You Try!
6(2x + 10)
7(2 x  3)  5x
86  x   2 x  3
4(4x + 6) + 5x+6
Real World Applications?! NO WAY!!!
1) The figure below represents a rectangular fence built to hold in pigs. The length and width are
given below. Write an equation that represents the area of the enclosure.
(x + 2)ft
5 ft
2) Paul says the area of his bedroom can be represented by the equation A = 3(x + 6). His mom
says the area of his bedroom is A = 3x + 18. Who is correct? How do you know?
Name:_________________________________
M3L4
Accordino-Math 7
Date:_________
Period:________
Lesson 4: Distributive Property
Homework
7) 6(𝑎 + 5) − 2𝑎 + 1
9)
 2( z  3)  6  z
8) 7(6 − 9𝑥) + 15
10)  8(2 x  1)  16
MORE ON BACK
Name:_________________________________
M3L4
Accordino-Math 7
Date:_________
Period:________
11. Given the following rectangle:
(2x + 1)
6 ft
Write an expression that represents the area of the rectangle.
Review:
12. A number line is shown below. Which of the following expressions represents the distance between (-2) and 1?
a.
|(−2) − 1|
b.
|(−2) − (−1)|
c.
d.
|(−2) + (1)|
|1 − 2|
13. While on vacation, Randy and his family hiked to the bottom of Ausable Chasam, which is 150 feet below sea-level.
The next day Randy and his family hiked to the top of up Cascade mountain in Lake Placid which has a peak elevation
at the top is 4098 feet above sea level. What is the change in elevation that Randy and his family hiked over the
course of their two day trip?
a. 4248 feet
b. -4248 feet
c. 3948 feet
d. -3948 feet
Name:_________________________________
M3L4
Accordino-Math 7
Period:________
Lesson 4: Distributive Property
Exit Ticket
1.
Use the distributive property to write an equivalent expression in standard form.
2.
Write the expression below in standard form.
4x  12
3ℎ − 2(1 + 4ℎ)
Date:_________