Download Math 8 Lesson Plan 76 Adding and Subtracting Polynomials class

Sewanhaka High School
Math 8
Name:__________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Per:____
Date:_____________________
H.W. #76: Ditto
DO-NOW #76:
Answer the following questions. Show work.
1) Brian paid $52.00 for a pair of sneakers. A week later, he noticed they were on sale for 30% off. How
much money might he have saved if he bought the sneakers on sale? (NOTE: No sales tax.)
2) Express the following number in scientific notation:
3) Express the quotient of
28,420 =
3.6 * 10 5
in standard form:
2.842 *10 4
Topic: Algebra
Main Idea: Adding and Subtracting Polynomials
Aim:
RECALL
In 2017, sales of digital audio players are
expected to reach record numbers. The sales data
can be modeled by the equation U = -2.7t2 +
49.4t + 128.7 which is an example of a
polynomial. U represents the number of units
shipped in millions and t represents the number
of years since 2005. What is the value of t for
the year 2007?
What would be the value of t for the year 2010?
Using the previous equation, find the value of U
for the year 2007?
Statement:
Refer to the previous equation. How many
monomials make up the expression that equals
U?
What are they?
NOTES
Determine whether each expression is a polynomial.
If it is a polynomial, find the degree and determine
whether it is a monomial, binomial, or trinomial.
a. 4y - 5xz
b. -6.5
c. 7a-3 + 9b
d. 6x3 + 4x + x + 3
e. x
f. -3y2 - 2y + 4y - 1
g. 5rx + 7 tuv
h. 10x-4 - 8xa
Statement:
Write each polynomial in standard form. Identify the
leading coefficient.
a. 3x2 + 4x5 - 7x
b. 5y - 9 - 2y4 - 6y3
c. 8 - 2x2 + 4x4 - 3x
d. y + 5y3- 2y2 - 7y6 + 10
Find each sum or difference:
a. (2x2 + 5x - 7) + (3 - 4x2 + 6x)
b. (3y + y3 - 5) + (4y2 - 4y + 2y3 + 8)
c. (3 - 2x + 2x2) - (4x - 5 + 3x2)
d. (7p + 4p3 - 8) - (3p2 + 2 - 9p)
The equations P = 7m + 137 and C = 4m + 78
represent the number of cell phones P and digital
cameras C sold in m months at an electronics store.
Write an equation for the total monthly sales T of
phones and cameras. Then predict the number of
phones and cameras sold in 10 months.
Drill: Answer the following questions. Show work.
1) Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a
monomial, binomial, or trinomial.
a. x2 + 2xy - 7
b.
14d  19e 3
5d 4
2) Write 12 + 5y + 6xy + 8xy2 in standard form. Identify the leading coefficient.
3) Find each sum or difference.
a. (7y2 + 2y - 3) + (2 - 4y + 5y2) =
SUMMARY:
b. (6n2 + 11n3 + 2n) - (4n - 3 + 5n2) =