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Unit 2 Study Guide (Due 9/25/25)

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33 questions
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This study guide covers 2.1 to 2.10 and Notes pages 1 to 6 Please complete the entire document. You will be able to use this during the test.


Complete the entire assignment and show work for full credit.


Responses with no work shown will receive no credit.

Simplifying Radicals

Question 1
1.

*Simplify this radical.

Multiplying Radicals

Required
10
Question 2
2.

Simplify this expression that contains radicals.

Square Roots with Variables

Required
10
Question 3
3.

*Simplify this radical.

Required
10
Question 4
4.

Simplify this radical.

Rational Exponents


Question 5
5.

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

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Question 6
6.

Match the exponents and radical to their matching expressions

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Use this property to solve problem #7

Question 7
7.

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

Use this property to solve problem #8


Question 8
8.

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

Use this property to solve problems #9


Question 9
9.

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

Use this property to solve problem #10-11


Question 10
10.

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

Question 11
11.

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

Exponents Mixed Practice

Question 12
12.

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

Question 13
13.

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

Identifying parts of expressions and simplifying expressions

Question 14
14.

Identify the variable terms, constant terms, and coefficients

Question 15
15.
*Use page 5 in your notes to identify and classify the parts of this polynomial:



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

# of Terms (1, 2, 3, etc.):_______
Question 16
16.
*Use page 5 in your notes to identify and classify the parts of this polynomial:



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

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

Simplifying Polynomial Expressions

Question 17
17.

Directions: Simplify each expression by combining like terms.

Question 18
18.

Directions: Simplify each expression by combining like terms.

Distribute then Combine Like Terms

Question 19
19.

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

Question 20
20.

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

Day 2 9/24/25

Monomial times a Polynomial

Question 21
21.

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

Question 22
22.

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

Multiplying Binomial X Binomial

Question 23
23.

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

Question 24
24.

*Find the Product of this binomial * trinomial using the Box method.

Question 25
25.

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

Question 26
26.

*Find the Product of this binomial * trinomial using the FOIL method.

Special Product: Sum and a Difference

Question 27
27.

*Find the Product of these polynomials.

Question 28
28.

Find the Product of these polynomials.

Special Products: Square of a Binomial

Question 29
29.

*Find the square of this binomial.

Question 30
30.

Find the square of this binomial.


Word Problems involving Polynomials

Question 31
31.

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

Question 32
32.

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

Question 33
33.
*A square garden is surrounded by a walkway of width x.

What is the area of the garden?
_______

What is the area of the walkway and the garden together?
_______

What is the area of just the walkway?
_______