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Master Intro to Polynomials (Due 9-9-25)

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Day 1 9/8/25

Spiral Review

Question 1
1.

Draggable itemarrow_right_altCorresponding Item
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Question 2
2.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Question 3
3.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Question 4
4.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Question 5
5.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Question 6
6.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Day 2 9/4/24

Identifying parts of expressions and simplifying expressions

Question 7
7.

Identify the variable terms, constant terms, and coefficients

Question 8
8.

Identify the variable terms, constant terms, and coefficients

Question 9
9.

Identify the variable terms, constant terms, and coefficients

Question 10
10.

Identify the variable terms, constant terms, and coefficients

Simplifying Expressions

Question 11
11.

Directions: Simplify each expression by combining like terms.

Question 12
12.

Directions: Simplify each expression by combining like terms.

Question 13
13.

Directions: Simplify each expression by combining like terms.

Question 14
14.

Directions: Simplify each expression by combining like terms.

Question 15
15.

Directions: Simplify each expression by combining like terms.

Question 16
16.

Directions: Simplify each expression by combining like terms.

Question 17
17.

Directions: Simplify each expression by combining like terms.

Question 18
18.

Directions: Simplify each expression by combining like terms.

Question 19
19.

Directions: Simplify each expression by combining like terms.

Question 20
20.

Directions: Simplify each expression by combining like terms.

Question 21
21.

Directions: Give the perimeter of each figure as a simplified expression.

Question 22
22.

Notes on Polynomials in Standard Form

Question 23
23.

Notes on Classifying Polynomials by Degree and Number of Terms

Question 24
24.
Identify and classify the parts of this polynomial:


Degree (first, second, third, etc.):_______

# of Terms (1, 2, 3, etc.):_______
Question 25
25.
Identify and classify the parts of this polynomial:



Degree (first, second, third, etc.)_______
# of Terms (1, 2, 3, etc.):_______
Question 26
26.
Identify and classify the parts of this polynomial:




Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 27
27.
Identify and classify the parts of this polynomial:




Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 28
28.
Identify and classify the parts of this polynomial:


Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 29
29.

Directions: Write the following polynomials in standard form.

Question 30
30.

Directions: Write the following polynomials in standard form.

Question 31
31.

Directions: Write the following polynomials in standard form.

Simplifying Polynomials

Question 32
32.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 33
33.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 34
34.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 35
35.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 36
36.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 37
37.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 38
38.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Monomial times a Polynomial

Question 39
39.
Question 40
40.

Find the product of these expressions. Final answers must be in standard form.


Question 41
41.

Find the product of these expressions. Final answers must be in standard form.


Question 42
42.

Find the product of these expressions. Final answers must be in standard form.


Question 43
43.

Find the product of these expressions. Final answers must be in standard form.


Question 44
44.

Find the product of these expressions. Final answers must be in standard form.


Question 45
45.

Find the product of these expressions. Final answers must be in standard form.


Question 46
46.

Find the product of these expressions. Final answers must be in standard form.


Question 47
47.

Find the product of these expressions. Final answers must be in standard form.


Question 48
48.

Find the product of these expressions. Final answers must be in standard form.


Question 49
49.

Find the product of these expressions. Final answers must be in standard form.


Distribute then Combine Like Terms

Question 50
50.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 51
51.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 52
52.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 53
53.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 54
54.

Write an expression in simplest form to represent the area of the shaded region.

Day 4 9/9/24

Spiral Review

Question 55
55.

Question 56
56.

Question 57
57.

Question 58
58.

Question 59
59.

Question 60
60.

Question 61
61.

Question 62
62.

Multiplying Binomial X Binomial

Tutorial Video

Box Method for multiplying polynomials



Question 63
63.

Find the Product of this binomial * binomial using the box method.

Question 64
64.

Find the Product of this binomial * binomial using the box method.

Question 65
65.

Find the Product of this binomial * binomial using the box method.

Question 66
66.

Find the Product of this binomial * binomial using the box method.

Question 67
67.

Find the Product of this binomial * binomial using the box method.

Question 68
68.

Find the Product of this binomial * binomial using the box method.

Use the properties of exponents to match each expression to its simplified version.

Classify the polynomial below based on the number of terms.

monomial: it has one term
binomial: it has two terms
trinomial; it has three terms
Classify the polynomial below based on its degree.

2nd degree
3rd degree
4th degree
1st degree
Classify the polynomial below based on its degree.

1st degree
4th degree
3rd degree
2nd degree
Classify the polynomial below based on the number of terms.



binomial: it has two terms
monomial: it has one term
trinomial; it has three terms
Classify the polynomial below based on its degree.




2nd degree; the highest exponent is 2
1st degree; the middle tern has an exponent of one
7th degree; because the the highest coefficient is 7
3rd degree; because you add up all the exponents
Classify the polynomial below based on the number of terms.


trinomial; it has three terms
binomial: it has two terms
monomial: it has one term
Classify the polynomial below based on its degree.
2nd degree
1st degree
3rd degree
4th degree
Find the degree of the monomial below.


9th degree; it is the highest exponent
11th degree: because you add the exponents together
2nd degree; it is the lowest exponent
4th degree; it is the coefficient