Name:_________________________________
M3L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Introduction to Polynomials
Bellringer
1) Find the sum or difference of each expression below
a. (-3) – 6
b. 4 – 8
c. -9 – 8 + 3
d. 7( -2 - 3)
Name:_________________________________
M3L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Introduction to Polynomials
Classwork
Polynomials look like this:
The word polynomial can be broken into two parts: poly-, meaning ________________
and –nomial, meaning _________________.
Polynomial ~ ___________________________________________________________
Polynomials can have:
Constants ~ ____________________________________
Variables ~ _____________________________________
Exponents ~ ____________________________________
Operations ~ ____________________________________
Polynomials are made up of terms and are named for the number of terms they contain.
Term ~ ______________________________________________________________
Types of Polynomials:
Monomial ~ ___________________________________________________________
Examples of monomials:
Binomials ~ ____________________________________________________________
Examples of binomials:
Trinomials ~ ___________________________________________________________
Examples of trinomials:
Name:_________________________________
M3L1
Accordino-Math 7
Monomials
Trinomials
Date:_________
Period:________
Binomials
Name:_________________________________
M3L1
Accordino-Math 7
Date:_________
Period:________
Combining Like Terms
Like terms ~ _________________________________________________________
Unlike terms ~ _______________________________________________________
Identify all the like terms in each expression below:
1) -3x + 2x
2) -4x + 7x – 5
3) -4x + 6 - 5
4) 4x + 5y + x - y
Like terms must have the same variable and exponent on the variable
Ex 1) 5 x 2 y , x 2 y ,and  x 2 y ARE like terms
Ex 2) x 2 yz , xy 2 z , and xyz 2 ARE NOT like terms
4) 2y2 + y2 + 5x + x + y
5) 3x2y2z + 2xy2z2+ -5xy2𝑧 2 + 7x2y2z
Name:_________________________________
M3L1
Date:_________
Accordino-Math 7

Period:________
To combine like terms you must remember your rules for adding and
subtracting integers…..Does anyone want to sing a song?!
*** Same Signs- Add
*** Different Signs- Subtract
(-3) – 6
-9 – 8 + 3
4–8
7( -2 - 3)
Simplify each expression below by combining like terms
−3𝑥 + 2𝑥
−4𝑥 − 6𝑥
4𝑎 + 12𝑎 + 5𝑎
13𝑥 + 2𝑥 − 𝑥
−5𝑥 − 2𝑥 + 6
10𝑥 + 2𝑥 − 5 + 6
3.5𝑥 + 2𝑥 − 1
−1.3𝑐 + 2.1𝑐 + 16 − 5
2𝑥 + 8𝑦 + 𝑥
8𝑥 + 2𝑦 − 7𝑦 + 1
2y2 + y2 + 5x + x + y
3x2y2z + 2xy2z2+ -5xy2𝑧 2 + 7x2y2z
Name:_________________________________
M3L1
Accordino-Math 7
Date:_________
Period:________
Homework:
1. Identify each polynomial below as either a monomial, binomial, or trinomial:
2. State whether the following statements are true or false:
(a) 8z has two terms 8 and z.
(b) The expression 10 + k has two terms 10 and k.
(c) xy and –yx are like terms.
2
2
(d) a b and –b a are like terms.
(e) m and –m are like terms.
(g) 10 and 10z are like terms.
2
2
(i) 7b a and -2ab are like terms.
3. Simplify each expression below
(-3) + 6 + 10
9 – 16 + (-3)
4 – 8.2
2( -2.1 + 3.5)
More on Back
Name:_________________________________
M3L1
Date:_________
Accordino-Math 7
Period:________
4. Simplify each expression by combining like terms.
−3𝑥 − 6𝑥 + 4𝑥
9𝑥 − 13𝑥 + 7𝑥 − 3𝑥
5𝑥 − 9𝑥 + 5𝑥 + 9𝑥
−2𝑥 − 𝑥 + 4𝑥 − 3
3𝑦 − 15𝑦 + 5𝑥 − 6𝑥
2𝑥 − 7 − 5𝑥 + 10
−𝑐 − 4 + 6𝑐 − 8
10𝑏 − 17 − 𝑥 − 2𝑏
9.5𝑥 + 5𝑦 − 6.2𝑥 − 9𝑦
−3𝑎 − 4𝑏 − 7 − 7𝑎 + 2𝑏
1
1
− 𝑎 − 4 − 7 − 𝑎 + 2𝑏
3
2
−1.5𝑎 − 4𝑎 − 9.5𝑏 − 0.5𝑎 + 1.1𝑏
2
2
5. Review
Use the blank graph provided to plot the points and decide if the rectangular cakes are scale drawings of each
other.
Cake 1: (5,3), (5,5), (11,3), (11, 5)
Cake 2: (1,6), (1, 12),(19,12), (19, 6)
Are the figures scale drawings of each other? How do you know?
Name:_________________________________
M3L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Introduction to Polynomials
Exit Ticket
1. Label the following monomial, identifying the constant, variable, and exponent in the
term.
1 2
x
4
2. Simplify the expression below by combining like terms:
8 + 9x – (12x)