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Algebra 2 Review Assignment #1 - Printable Mathematics Worksheets - Wayground

Algebra 2 Review Assignment #1

15 questions

9th - 12th Grade

Mathematics

Algebra 2 Review Assignment #1 is a free printable mathematics worksheet for students in Grades 9–12 who are building fluency with simplifying rational expressions. The assignment contains 15 multiple-choice questions, including prompts that ask students to reduce a rational expression to an equivalent, simpler form. Its focused format gives students repeated opportunities to apply algebraic simplification steps and select the expression that correctly represents the result. Use this worksheet for independent practice, a review assignment, a homework check, or a short formative assessment after instruction on rational expressions. Multiple-choice responses make it easy to identify whether students can recognize an equivalent simplified expression, while the included answer key supports efficient checking and discussion of incorrect choices. The worksheet is available as a free printable PDF with an answer key, making it practical for Algebra 2 review in grades 9–12.

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Worksheets

Algebra 2 Review Assignment #1

Total questions: 15

Name
Class
Date
1.
a)

x=12x=\frac{1}{2}  

b)

x=−32x=-\frac{3}{2}  

c)

x=172x=\frac{17}{2}  

d)

x=−12x=-\frac{1}{2}  

2.
a)

2121  

b)

14314\sqrt[]{3}  

c)

3143\sqrt[]{14}  

d)

6363  

3.
a)

−4+19i-4+19i  

b)

16+19i16+19i  

c)

6+29i6+29i  

d)

6−10i6-10i  

4.
a)

{−2.5, −1, 3}\left\{-2.5,\ -1,\ 3\right\}  

b)

{−3, 1, 2.5}\left\{-3,\ 1,\ 2.5\right\}  

c)

{−3, −2, 5}\left\{-3,\ -2,\ 5\right\}  

d)

{−3, −1, 3}\left\{-3,\ -1,\ 3\right\}  

5.
a)

{0,4}\left\{0,4\right\}  

b)

{−2,8}\left\{-2,8\right\}  

c)

{−8,2}\left\{-8,2\right\}  

d)

{−3,5}\left\{-3,5\right\}  

6.
a)

x=413x=\frac{41}{3}  

b)

x=28x=28  

c)

x=343x=\frac{34}{3}  

d)

x=24x=24  

7.

Simplify the rational expression.

a)

1x−3\frac{1}{x-3}  

b)

x−3x+3\frac{x-3}{x+3}  

c)

16\frac{1}{6}  

d)

x+3x−3\frac{x+3}{x-3}  

8.
a)

a linear function

b)

an exponential function

c)

a quadratic function

d)

an absolute value function

9.
a)

x4−1\sqrt[]{x^4-1}  

b)

xx  

c)

x2−1x^2-1  

d)

x2x2−1x^2\sqrt[]{x^2-1}  

10.
a)

(a+b)29\frac{\left(a+b\right)^2}{9}  

b)

a+b9\frac{a+b}{9}  

c)

18a+9b18a+9b  

d)

(a+b)536\frac{\left(a+b\right)^5}{36}  

11.
a)

{103}\left\{\frac{10}{3}\right\}  

b)

{6}\left\{6\right\}  

c)

{2,8}\left\{2,8\right\}  

d)

{4}\left\{4\right\}  

12.
a)

  88  

b)

1010  

c)

00  

d)

−4-4  

13.
a)

x<−2x<-2  

b)

−6<x<−2-6<x<-2  

c)

2<x<62<x<6  

d)

x<−6 or x>−2x<-6\ or\ x>-2  

14.
a)

2(x−3)(x+4)2\left(x-3\right)\left(x+4\right)  

b)

(2x−3)(x+8)\left(2x-3\right)\left(x+8\right)  

c)

2(x+3)(x−4)2\left(x+3\right)\left(x-4\right)  

d)

2(x+6)(x−2)2\left(x+6\right)\left(x-2\right)  

15.
a)

(2,4)\left(2,4\right)  

b)

(1,4)\left(1,4\right)  

c)

(−∞,1)\left(-\infty,1\right)  

d)

(−∞,0)\left(-\infty,0\right)  

Answer Key

Algebra 2 Review Assignment #1

Total questions: 15

1.
d)

x=−12x=-\frac{1}{2}  

2.
c)

3143\sqrt[]{14}  

3.
a)

−4+19i-4+19i  

4.
c)

{−3, −2, 5}\left\{-3,\ -2,\ 5\right\}  

5.
c)

{−8,2}\left\{-8,2\right\}  

6.
b)

x=28x=28  

7.
d)

x+3x−3\frac{x+3}{x-3}  

8.
c)

a quadratic function

9.
c)

x2−1x^2-1  

10.
b)

a+b9\frac{a+b}{9}  

11.
d)

{4}\left\{4\right\}  

12.
a)

  88  

13.
b)

−6<x<−2-6<x<-2  

14.
a)

2(x−3)(x+4)2\left(x-3\right)\left(x+4\right)  

15.
a)

(2,4)\left(2,4\right)  

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FAQs

What does Algebra 2 Review Assignment #1 help students practice?

This worksheet helps Grades 9–12 students practice simplifying rational expressions through 15 multiple-choice questions. Students must compare possible results and identify the expression equivalent to the original, strengthening their accuracy with algebraic simplification.

How can I use this worksheet to teach simplifying rational expressions?

Introduce the worksheet by modeling how to simplify one rational expression, then have students explain why an answer choice is equivalent rather than choosing it by appearance alone. Use the 15 multiple-choice items for guided practice first, and review selected distractors afterward to discuss which simplification step led to each incorrect choice.

What mistakes should I watch for when students simplify the rational expressions?

Watch for students canceling individual terms instead of common factors, changing only part of an expression, or selecting an answer that looks shorter without checking equivalence. Because the worksheet uses multiple-choice items, ask students to show the simplification steps that support their selected answer rather than relying on recognition alone.

How do I assign and grade Algebra 2 Review Assignment #1?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 15 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz.

How can I differentiate this rational-expression worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the 15 multiple-choice prompts easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its rational-expression practice format.

Where can I find more 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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