Wayground
Algebra Chapter 5 Review - Printable Mathematics Worksheets - Wayground

Algebra Chapter 5 Review

16 questions

9th - 9th Grade

Mathematics

Algebra Chapter 5 Review is a Grade 9 mathematics worksheet that checks students’ understanding of functions, piecewise functions, domains, linear equations, and linear inequalities. Its 16 multiple-choice questions ask students to evaluate functions at given inputs, identify domains from graphs, match graphs with piecewise rules, determine whether points belong to a solution set, and recognize when an inequality graph uses a solid boundary line. Students also convert equations to slope-intercept form and select graphs that represent inequalities, including y > -2x - 3. The worksheet helps reveal whether students can connect symbolic rules, graph features, domain restrictions, boundary symbols, and plotted solution regions. It is useful for chapter review, independent practice, or a focused check before an assessment. This free printable worksheet includes a complete answer key for efficient checking and feedback.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Algebra Chapter 5 Review

Total questions: 16

Name
Class
Date
1.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

2.

Find f(1)

a)

f(1) = 0

b)

f(1) = 2

c)

f(1) = -2

d)

f(1) = -1

3.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

4.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
5.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
6.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
7.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
8.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
9.
What is the slope intercept form of the equation
12x-4y=-20
a)
y=12x-20
b)
y=3x+5
c)
y=-3x-5
d)
y=20y-12x
10.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
11.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
12.
Select the graph for y >  -2x - 3
a)
A
b)
B
c)
C
d)
D
13.

Is 0 part of the domain of this function?

a)

Yes

b)

No

14.

Tommy says the piecewise function graphed has a domain of all real numbers. Is he correct or incorrect? Explain.

a)

Correct because Tommy is the tallest kid in his class.

b)

Incorrect because there are no x-values above 4 or below -4

c)

Correct because there are only 2 days of school left.

d)

Correct because the graph is red.

15.

Samantha says the piecewise function graphed has a domain of all real numbers. Is she correct or incorrect? Explain.

a)

Correct because the graph continues to the left and right.

b)

Incorrect because there is not an answer at x=1.

c)

Incorrect because the graph is broken.

d)

Incorrect because there are no domain values below y=-3.

16.

Tabitha says the piecewise function graphed has a domain of all real numbers. Is she correct? Why or why not?

a)

Incorrect because there is no x-value of 0.

{Both circles are open so there is no graph there}

b)

Correct because of the elves.

c)

Correct because it snowed.

d)

Correct because the Grinch says so!

Answer Key

Algebra Chapter 5 Review

Total questions: 16

1.
b)

f(2) = 1

2.
d)

f(1) = -1

3.
c)

C

4.
a) 1≤ x ≤ 4
5.
c) 4
6.
c) f(x) = { -x+1  if x < 4;  x  if x ≥ 4
7.
c) (-1, -3)
8.
c) The symbol has "or equal to."
9.
b) y=3x+5
10.
d) D
11.
a) A
12.
c) C
13.
b)

No

14.
b)

Incorrect because there are no x-values above 4 or below -4

15.
a)

Correct because the graph continues to the left and right.

16.
a)

Incorrect because there is no x-value of 0.

{Both circles are open so there is no graph there}

Browse by subjects

Browse by grades

Browse by format

FAQs

What does the Algebra Chapter 5 Review worksheet cover?

This Grade 9 worksheet uses 16 multiple-choice questions to practice evaluating functions such as finding f(2), identifying domains from graphs, interpreting piecewise functions, and connecting equations to their graphs. It also asks students to convert a linear equation to slope-intercept form and select graphs for linear inequalities, including decisions about solid boundary lines and solution regions.

How can I use this worksheet to teach piecewise functions and inequality graphs?

Use the function-evaluation and domain questions first to review how input values and graph coverage determine a function’s outputs and domain. Then have students explain how the conditions in a piecewise rule determine which expression applies, and use the inequality items to connect an equal-to symbol with a solid boundary and the inequality sign with the shaded solution region. Ask students to justify each graph choice rather than relying only on visual matching.

What mistakes should I watch for when students complete this algebra review?

Watch for students substituting an input incorrectly when finding f(1), f(2), or f(0), and for confusing a graph’s x-values with its y-values when identifying the domain. In the piecewise questions, students may choose the wrong rule at a boundary such as x = 4 or overlook whether an endpoint is included. For inequality graphs, check that they distinguish a solid line from a non-solid boundary and identify the correct side of the line; when rewriting 12x - 4y = -20, students may also fail to isolate y correctly.

How do I assign and grade the Algebra Chapter 5 Review worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 16 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading. The PDF option can also support schools that want to reduce screen time while students review functions, domains, and inequalities.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the function rules, graph prompts, and multiple-choice options easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to this algebra review. These changes preserve the worksheet’s multiple-choice format while creating a more readable version.

Where can I find more worksheets like this on Wayground?

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

© 2026 Wayground Inc.

Accessibility and Inclusion