Warm Up
Look over Unit 5 Test and complete SelfReflection
Answer every question and be honest!!
HW 5.15 Check
1) 0.06 grams
3) $98.44
5) 24, 13, 2, -9, -20, -31
2) $266.49
4) a) $675
b) $3025
HW 5.16 Check
1) x = 6/7
2) a > 7
3) Left 8, down 2
4) m = 8/11
5) y = -1/2x + 4
6) min=79, Q1 = 84, med = 90, Q3 = 100, max = 104
7) -80
Classifying, adding & subtracting
polynomials
Explain the difference between each
& give an example for each term.
Constant
variable
coefficient
Review: Simplify:
1.
8s – 9t + 4s – 3t
2.
4n2 – 7n2 + n2
3.
2b – 6 + 9b
Sam’s math teacher gave him a problem to simplify. His
work is below. Explain to Sam where he went wrong
and correct his mistakes for him.
Simplify:
Sam’s answer:
4x2 + 10y – 12x2 + 2y
16x4 + 12y2
Defn: A Monomial is an expression that is a number, a
variable, or a product (multiplication only) of a
number and one or more variables.
Exs:
Degree of a Monomial
Is the SUM of the exponents of its VARIABLES
EX: What is the degree of the monomial:
1.
2.
3.
4.
Polynomial
Is a monomial or the SUM or DIFFERENCE of two or
more monomials
Ex:
Standard Form of a polynomial:
A polynomial in which the degrees of its monomial
terms DECREASE from LEFT to RIGHT
Degree of a polynomial
Is the GREATEST exponent of the polynomial.
What is the degree of the polynomial:
Degree
Name
Classify0By Degree
1
2
3
4
5
6 or higher
Constant
Linear
Quadratic
Cubic
Quartic
Quintic
6th, 7th, 8th etc.
Graphs are based on degrees!
Linear
Constant
Quadratic
Cubic
Quartic
Classify by Number of terms
Number of Terms
1
2
3
4 or more
Name
Monomial
Binomial
Trinomial
Polynomial with
____ terms
EX: Simplify the polynomial (put in standard form),
Classify by Degree AND # of Terms
1.
2.
3.
4.
Complete the chart (pg. 3 in your packet)
Polynomial
3x2 + 5x – 7
3x2
2x + 5
-123
-4x
6
3x3 + 2x2 – 1
x3 - 4x2
2x3
3x2 – 4
Degree
Name by
Degree?
Name by # of
terms
Recall:
Simplify:
1.
5x + 6y + 8x – 3y + 9

All you are doing is combining like
terms!!!
NEVER change the exponent when
adding or subtracting!!!

Simplify:
Ex 2:
Ex 3:
Ex. 4
Ex. 5
*** When subtracting:
ALWAYS DISTRIBUTE THE NEGATIVE then combine
like terms!
Ex. 6
Ex. 7
Error Analysis: Describe and correct the
error in finding the difference of the
polynomials.
Line 1:
Line 2:
Line 3:
Line 4:
2
(4x
2
(3x
– x + 3) –
– 8x – 9)
2
2
4x – x + 3 – 3x – 8x – 9
4x2 – 3x2 – x – 8x + 3 – 9
x2 – 9x – 6
Perimeter Worksheet
Page 12 in your packet
Coming up…
HW 6.1 tonight
Tutoring after school today
Quiz 6.1 – Friday