Name:_________________________________
M3L3
Accordino-Math 7
Period:________
Lesson 3: Subtracting Polynomials
Bellringer
1) Simplify each of the following expressions by combining like terms
a. 6x + 15y – 20y + 3x
b.
Date:_________
1 2 1
2
y  y  y2  y 1
2
2
5
Name:_________________________________
M3L3
Date:_________
Accordino-Math 7
Period:________
Lesson 3: Subtracting Polynomials
Notes
REVIEW: Write the rules for subtracting signed numbers.
Ex 1) 3 – 4= _______
Ex 2) 3 – (-4) =_______
Ex 3) (40 + 9) − (30 + 2)=_______
1.
2.
3.
Standard Form:______________________________________________
Rewrite each expression below in standard form:
 p  7 p 2  3  3 p3
4  7n 3  5n
4k 2  3k 4  2  k
Stan writes the answer to an addition problem as the expression 6𝑘 + 5𝑘 2 + 4𝑘 3 and
says it is in standard form, is he correct? If not, what is his mistake?
Name:_________________________________
M3L3
Date:_________
Accordino-Math 7
Period:________
When we subtract polynomials we are “adding the opposite” of each term in the
second polynomial!!!
EX) (40 + 9) − (30 + 2)=_______
For each problem below write the opposite of the given polynomial:
To subtract polynomials:
1.
2.
3.
Example 1) Subtract:
Horizontal Method
and write your answer in STANDARD FORM.
Vertical Method
Name:_________________________________
M3L3
Accordino-Math 7
Date:_________
Period:________
Example 2) Write an equivalent expression for (3𝑥 + 5𝑦 − 4) − (4𝑥 + 11) in standard form.
2
Example 3) What is the result when (3𝑥 − 4) is subtracted from (3𝑥 − 4) ?
“Subtracted from” means the second polynomial will be
written first
OH, and… WATCH YOUR SIGNS!!! (& Yes, I’m Still Yelling!)
You Try ! For each problem below create an equivalent expression by using your rules of
subtraction and combining like terms:
Name:_________________________________
M3L3
Date:_________
Accordino-Math 7
Period:________
Homework:
1. For each problem below create an equivalent expression by using your rules of subtraction and
combining like terms:
2. Write each expression in standard form. Use the bottom half of this sheet to show your work.
a.
4𝑦 − (3 + 𝑦)
b.
(2𝑏 + 1) − 𝑏
c.
(6𝑐 − 4) − (𝑐 − 3)
d.
(𝑑 + 3𝑑) − (−𝑑 + 2)
e.
(−5𝑥 − 4) − (−2 − 5𝑥)
f.
11𝑓 − (−2𝑓 + 2)
g.
−5𝑔 − (6𝑔 − 4)
h.
(8ℎ − 1) − (ℎ + 3)
i.
(7 + 𝑤) − (𝑤 + 7)
j.
(2𝑔 + 9ℎ − 5) − (6𝑔 − 4ℎ + 2)
Name:_________________________________
M3L3
Accordino-Math 7
3.
For each problem below translate in to a polynomial and write in standard form:
a.
Find the sum of −3𝑥 and 8𝑥.
b.
Find the sum of −7𝑔 and 4𝑔 + 2.
c.
Find the difference when 6ℎ is subtracted from 2ℎ − 4.
d.
Find the difference when −3𝑛 − 7 is subtracted from 𝑛 + 4.
Review:
4.
Find three different combinations of integers that would result in a total sum of zero.
7
7
7
5.
Which of the following are equivalent to (−6) − (−3)? Check all that apply.
_________ (−3) − (−6)
_________(−6) + (+3)
_________(−6) + 3
_________(−3) + (−3) + 3
Date:_________
Period:________
Name:_________________________________
M3L3
Accordino-Math 7
Date:_________
Period:________
Lesson 3: Subtracting Polynomials
Exit Ticket
1) Find the value of -6 – 12 - 7.
2) Find the difference of (-6x + 12) – (7x - 2).
3) Find the result when 5𝑚 + 2 is subtracted from 9𝑚.