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Algebra 2 Review Quiz - Printable Mathematics Worksheets - Wayground

Algebra 2 Review Quiz

10 questions

12th - 12th Grade

Mathematics

Algebra 2 Review Quiz is a free printable worksheet for Grade 12 mathematics students who need practice across core Algebra 2 skills. Its 10 multiple-choice questions include simplifying radical expressions, factoring a difference of squares, identifying an error in polynomial division, finding polynomial zeroes, calculating joint probability, matching an absolute value graph to its equation, multiplying complex numbers, modeling exponential growth, and extending a numerical pattern. The quiz asks students to select the correct result or correction from four options, making it useful for review, independent practice, or a quick formative check before an assessment. Students must apply algebraic procedures, interpret function representations, and distinguish plausible distractors from correct solutions rather than relying on one repeated question type. The worksheet is available as a free printable PDF with a complete answer key for efficient checking and feedback.

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Algebra 2 Review Quiz

Total questions: 10

Name
Class
Date
1.

x+4−1=5\sqrt{x+4}-1=5  

a)

32

b)

48

c)

36

d)

42

2.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

12

b)

10

c)

2√30

d)

4√30

3.
Factor 9x2-64
a)
(3x-8)(3x+8)
b)
(2x-8)(2x+8)
c)
(3x-4)(3x+4)
d)
(3x-8)2
4.

This division problem has an error. Fix it and ID the true missing factor.

a)

x-4

b)

x+4

c)

x-8

d)

x+8

5.

What are the zeroes of f(x) = x3 + 7x2 + 12x

a)

x = 3 or x = 4

b)

x = -3 or x = -4

c)

x = -6 or x = -2

d)

x = 0, x = -3 or x = -4

6.

What is the probability of the student being a Junior and favoring sports?

a)

120/42

b)

21/38

c)

3/5

d)

7/20

7.

What is the equation of the graph?

a)

y = | x + 3 | - 4

b)

y = | x - 3 | - 4

c)

y=(x+3)2−4y=\left(x+3\right)^2-4

d)

y=(x−3)2−4y=\left(x-3\right)^2-4

8.

Simplify the complex expression:

(2 + 4i)(3 + 5i)

a)

6 + 20i

b)

5 + 9i

c)

10 + 12i

d)

-14 + 22i

9.

Imagine you're a savvy investor! You've put $1000 into a magical investment that grows by 8% every year. Fast forward 9 years, can you guess how much your treasure has grown?

a)

$1999

b)

$2159

c)

$1800

d)

$2000

10.

Identify the pattern and find the missing number: 5, 10, 20, 40, __, 160

a)

60

b)

80

c)

100

d)

120

Answer Key

Algebra 2 Review Quiz

Total questions: 10

1.
a)

32

2.
c)

2√30

3.
a) (3x-8)(3x+8)
4.
c)

x-8

5.
d)

x = 0, x = -3 or x = -4

6.
d)

7/20

7.
a)

y = | x + 3 | - 4

8.
d)

-14 + 22i

9.
a)

$1999

10.
b)

80

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FAQs

What does the Algebra 2 Review Quiz cover?

This Grade 12 worksheet uses 10 multiple-choice questions to review distinct Algebra 2 skills, including simplifying radicals, factoring a difference of squares, correcting a polynomial-division error, finding polynomial zeroes, and multiplying complex numbers. It also asks students to calculate a joint probability, identify an absolute-value equation from a graph, solve an exponential-growth application, and extend a sequence, so students practice selecting and evaluating methods across varied representations.

How can I use this worksheet to teach mixed Algebra 2 review skills?

Use the quiz after targeted instruction on the individual skills, then have students explain the method behind each selected answer rather than only naming the option. For example, ask students to connect the factors of the polynomial to its zeroes, justify why the absolute-value graph has the given shifts, and show the repeated-percent-growth calculation behind the investment item. Review the distractors as a class to make the worksheet a discussion-based error analysis activity.

What mistakes should I watch for on this Algebra 2 quiz?

Watch for students leaving unwanted exponents in the denominator when simplifying radicals, choosing an incorrect factor pair for the difference of squares, or accepting the faulty polynomial-division step instead of identifying the missing factor. Other likely errors include omitting zero when finding the zeroes of the cubic, mishandling the i-squared term in complex multiplication, reversing the horizontal shift in the absolute-value equation, and treating 8% growth as repeated addition rather than exponential growth.

How do I assign and grade the Algebra 2 Review Quiz?

The Algebra 2 Review Quiz is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading. The PDF option also supports classrooms that want to reduce screen time while students complete the 10 multiple-choice review items.

How can I differentiate this Algebra 2 Review Quiz for my students?

Use the worksheet's Advanced Settings to adjust font spacing or font size so the algebraic expressions, answer choices, and graph-based item are easier to read. You can also enable a dyslexia-friendly font or translate the quiz into another language when those changes support access to the mathematical directions and options. These adjustments preserve the original multiple-choice review format.

Where can I find more worksheets like this on Wayground?

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

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