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Unit 3 Quiz Review - Algebra 2 - Printable Mathematics Worksheets - Wayground

Unit 3 Quiz Review - Algebra 2

20 questions

11th - 11th Grade

Mathematics

Unit 3 Quiz Review - Algebra 2 is a Grade 11 mathematics worksheet focused on simplifying and operating with polynomial expressions. Across 20 multiple-choice questions, students distribute monomials, multiply binomials and polynomials, combine like terms, add and subtract polynomials, apply exponent rules when multiplying, and divide polynomials by binomials. The questions use increasingly varied expressions, including terms with different degrees and signs. This free printable worksheet helps students review the procedural accuracy needed for an Algebra 2 unit assessment. Students must select equivalent simplified forms, making it useful for identifying errors with sign changes, unlike terms, exponent addition, and polynomial division with remainders. It includes a complete answer key so teachers can check understanding efficiently and use incorrect choices to guide reteaching or review discussions.

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Worksheets

Unit 3 Quiz Review - Algebra 2

Total questions: 20

Name
Class
Date
1.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
2.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
3.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
4.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
5.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
6.

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

7.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
8.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
9.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
10.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
11.
Simplify the expression.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
12.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
13.

-5x6(3x2 - 12x + 30)

a)

-15x8 + 60x7 - 150x6

b)

15x8 - 60x7 - 150x6

c)

8x6 - 17x + 35

d)

-8x6 + 17x - 35x2

14.

Divide. (x4+3x2+x+4)÷(x+3)\left(x^4+3x^2+x+4\right)\div\left(x+3\right)   

a)

 x3−3x2+12x−35+109x+3x^3-3x^2+12x-35+\frac{109}{x+3}  

b)

 x3+3x2−12x−35+109x+3x^3+3x^2-12x-35+\frac{109}{x+3}  

c)

 x3−3x2−12x+30−109x+3x^3-3x^2-12x+30-\frac{109}{x+3}  

d)

 x3+3x2+10x−15+109x+3x^3+3x^2+10x-15+\frac{109}{x+3}  

15.

Divide. (x3−13x−12)÷(x−4)\left(x^3-13x-12\right)\div\left(x-4\right)   

a)

 x2−6x+2x^2-6x+2  

b)

 x2+4x+3x^2+4x+3  

c)

 x2−4x+6x^2-4x+6  

d)

 x2−4x−2x^2-4x-2  

16.

Divide. (x4−2x3+x2+x−1)÷(x−1)\left(x^4-2x^3+x^2+x-1\right)\div\left(x-1\right)   

a)

 x3+x2−1x^3+x^2-1  

b)

 x3−x2+1x^3-x^2+1  

c)

 x3−x2−1x^3-x^2-1  

d)

 x3+x2+xx^3+x^2+x  

17.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x2-1

d)

5x2-5

18.

If  f(x)=2xf\left(x\right)=2x   and  g(x)=2x2−1g\left(x\right)=2x^2-1   find  f(g(3))f\left(g\left(3\right)\right)  

a)

34

b)

71

c)

35

d)

142

19.

If  f(x)=2xf\left(x\right)=2x   and  g(x)=2x2−1g\left(x\right)=2x^2-1   find  g(f(−1))g\left(f\left(-1\right)\right)  

a)

2

b)

15

c)

7

d)

-9

20.

If  f(x)=1xf\left(x\right)=\frac{1}{x}   and  g(x)=3x+2g\left(x\right)=3x+2   find  f(g(x))f\left(g\left(x\right)\right)  

a)

 13x+2\frac{1}{3x}+2 

b)

 3x+23x+2  

c)

 3x+2\frac{3}{x}+2  

d)

 13x+2\frac{1}{3x+2}  

Answer Key

Unit 3 Quiz Review - Algebra 2

Total questions: 20

1.
a) 10x2 + 15x
2.
c) x2+4x+3
3.
a) 3x3 + 5
4.
d) 8x2+2x-3
5.
a) x3-x2+x-21
6.
a)

3x2 - x

7.
c) 9x+7
8.
a) -8n2 - 8n + 3 
9.
d) -2x2 + 11x -4
10.
b) 5b4 - 2b3 + 4
11.
a) -21x4 + 3x3 -12x2
12.
a) 2x5+3x4
13.
a)

-15x8 + 60x7 - 150x6

14.
a)

 x3−3x2+12x−35+109x+3x^3-3x^2+12x-35+\frac{109}{x+3}  

15.
b)

 x2+4x+3x^2+4x+3  

16.
b)

 x3−x2+1x^3-x^2+1  

17.
b)

10x-5

18.
a)

34

19.
c)

7

20.
d)

 13x+2\frac{1}{3x+2}  

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FAQs

What does the Unit 3 Quiz Review - Algebra 2 worksheet cover?

This Grade 11 worksheet practices polynomial operations through 20 multiple-choice questions. Students simplify expressions by distributing, multiplying binomials or polynomials, combining like terms, adding and subtracting polynomials, multiplying monomials with powers, and dividing polynomials by binomials. Selecting an equivalent expression reinforces both procedural fluency and checking whether terms, signs, and exponents were handled correctly.

How can I use this worksheet to teach polynomial operations?

Use the questions as a progression: review combining like terms and distributing first, then model polynomial multiplication and subtraction before introducing the monomial multiplication and polynomial division items. Ask students to explain why each distractor is incorrect, such as whether it combines unlike terms, changes a sign incorrectly, or applies an exponent rule incorrectly. Students can show one line of work beside each selected answer before discussing the result.

What mistakes should I watch for when students complete this polynomial worksheet?

Watch for students combining terms with different powers, losing a negative sign when subtracting a polynomial, or multiplying coefficients without adding exponents correctly. In the multiplication items, students may omit a product from distribution; in the division items, they may stop at an incomplete quotient or mishandle the remainder term. The multiple-choice distractors make these specific errors visible for targeted review.

How do I assign and grade this Algebra 2 worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.

How can I differentiate this polynomial operations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the multi-term polynomial expressions are easier to read and annotate. You can also select a dyslexia-friendly font for the questions and answer choices, or translate the worksheet directions into another language when appropriate. These changes preserve the multiple-choice format while improving access to the algebraic notation.

Where can I find more free worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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