Download Lesson 5: Distributive Property with Rational Numbers Bellringer

Name:_________________________________
M3L5
Accordino-Math 7
Date:_________
Period:________
Lesson 5: Distributive Property with Rational
Numbers
Bellringer
1) Find the product of (-3.2)(-4 + 5)= _______
2) Simplify the expression below using the distributive property.
-6 (-x + 1)
Name:_________________________________
M3L5
Accordino-Math 7
Date:_________
Period:________
Lesson 5: Distributive Property with Rational Numbers
Notes
REVIEW: Write the rules for multiplying rational numbers.
Ex 1) 3(-4 + 5)=_______
Ex 2) (-3.2)(-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 + 10)
Meaning of the Distributive Property
Multiplying Using the Box Method
x
3
+10
Name:_________________________________
M3L5
Date:_________
Accordino-Math 7
Period:________
You can use the Distributive Property with decimals also.
Example: 5.9(21 - 3.7x)
You can use the Distributive Property with fractions also! Remember to use your
fraction rules!
Example:
Remember to combine like terms after multiplying and write your
answer in standard form
Let’s keep trying!
– 12 + 6(2.5x + 6)
Name:_________________________________
M3L5
Date:_________
Accordino-Math 7
Period:________
10.1(4x + 15) - 12x
You Try!
6.1(2x + 10) + 14x – 17.5
5.4(30 - 3.24x)-1.2x
6+ 5x + 4.5(4x + 6)
Real World Applications?! NO WAY!!!
The length of a swimming pool is
1
3 times the width. Write an expression that represents the area of the pool in
3
simplest terms. (Draw a picture to help you).
If the width is 5 feet, what is the length of the pool? What would be the total area?
Name:_________________________________
M3L5
Accordino-Math 7
Date:_________
Period:________
Lesson 5: Distributive Property with
Rational Numbers
Homework
1) 6.5(𝑎 − 4)
3)
 7.1( z  1.1)
5) 6.2(𝑎 + 5) − 2𝑎 + 1.2
7)
 2( z  3.2)  6.5  z
2)
3
(2 − 3𝑥)
4
4) 
6)
1
(2 x  1)
8
2
(6 − 9𝑥) + 15
3
8) 
11
(2 x  1)  16
10
9) Samuel used the distributive property to simplify the expression  6(2  10 x)  7 x and came up with the
answer 53x  12 ,which is incorrect. What is Samuel’s mistake? What is the correct answer?
Name:_________________________________
M3L5
Accordino-Math 7
Date:_________
Period:________
10. Given the following rectangle:
(x + 10) ft
6.5
ft
Write an expression that represents the area of the rectangle.
What is the area if x = 3?
Review:
11. A number line is shown below. Which of the following expressions represents the distance between
(-6) and (-1)?
a.
|(−6) − 1|
b.
|(−6) − (−1)|
c.
d.
|(−6) + (1)|
|−1 − (−6)|
12. I can type 132 words in 90 seconds.
a.
What is my rate in word per minute?
b.
How many words can I type in 3.5 minutes?
Name:_________________________________
M3L5
Accordino-Math 7
Date:_________
Period:________
Lesson 5: Distributive Property with
Rational numbers
Exit Ticket
1.
Use the distributive property to write an equivalent expression in standard form.
1
x  12
4
2.
Tim says the length of his barn can be represented by the following drawing. Write an expression that
represents the area of his barn in simplest terms. (Draw a picture to help you)
Given the following rectangle:
(w + 2.5) ft
3.5
ft