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Functions Test Review - Printable Mathematics Worksheets year 10 - Wayground

Functions Test Review

20 questions

8th - 10th Grade

Mathematics

Functions Test Review is a free printable mathematics worksheet for students in Grades 8–10 who are reviewing essential function concepts. Across 20 items—15 multiple-choice questions, 2 multiple-select questions, and 3 fill-in-the-blank questions—students evaluate linear and quadratic functions, identify x- and y-values in ordered pairs, determine ranges, and decide whether representations define functions. The worksheet also asks students to interpret tables, mapping diagrams, and graphs, including graphs that represent changing real-world situations such as walking, plant growth, and temperature. These varied questions help students connect symbolic rules with numerical answers, coordinate representations, and contextual graphs. A complete answer key is included to support review, independent practice, homework, or assessment preparation.

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Worksheets

Functions Test Review

Total questions: 20

Name
Class
Date
1.

 g(x)=3x+4, find g(−3)g\left(x\right)=3x+4,\ find\ g\left(-3\right)  

a)

5

b)

13

c)

-5

d)

-2

2.

 g(x)=−7x+4, find g(−2)g\left(x\right)=-7x+4,\ find\ g\left(-2\right)  

a)

-10

b)

10

c)

-12

d)

18

3.

Choose the graph above that best represents a tomato plant that grows quickly at first, remains a constant height during a dry spell, then grows at a steady pace.

a)

Graph A

b)

Graph B

c)

Graph C

4.

Choose the graph that best represents a person walking to school, stays at school for some time, and then walks back home.

a)

Graph A

b)

Graph B

c)

Graph C

5.

Choose the graph that best represents the temperature of the water in a glass that rose steadily for several hours until it reached room temperature, then remained constant.

a)

Graph A

b)

Graph B

c)

Graph C

6.

The representation above is a...

a)

mapping diagram

b)

table

c)

graph

7.

Select the x-values from the following ordered pairs:

 {(3,4),(7,1),(3,4)(−1,4)}\left\{\left(3,4\right),\left(7,1\right),\left(3,4\right)\left(-1,4\right)\right\}  

a)

3

b)

4

c)

7

d)

1

e)

-1

8.

Select the y-values from the following ordered pairs:

 {(3,4),(7,1),(3,4)(−1,4)}\left\{\left(3,4\right),\left(7,1\right),\left(3,4\right)\left(-1,4\right)\right\}  

a)

3

b)

4

c)

7

d)

1

e)

-1

9.

 f(x)=x + 73, find f(20)f\left(x\right)=\frac{x\ +\ 7}{3},\ find\ f\left(20\right)  

(a)  

10.

True or False: The mapping diagram above is an example of a function.

a)

True

b)

False

11.

What is the range?

a)

{-2,0,1,3}

b)

{-3,1,3,4}

12.

 f(h)=2h2+3h+4, find f(−2)f\left(h\right)=2h^2+3h+4,\ find\ f\left(-2\right)  

(a)  

13.

What would be a possible situation for the graph above?

a)

The more passengers; The more subway cars.

b)

The less passengers; The more subway cars.

c)

The more passengers; The less subway cars.

d)

The less passengers; The less subway cars.

14.

True or False: The set of ordered pair above is an example of a function.

a)

True

b)

False

15.

What relation does the mapping diagram above describe?

a)

{(-2,-3),(0,1),(1,3),(3,4)}

b)

{(-3,-2),(1,0),(3,1),(4,3)}

c)

{(-2,1),(0,-3),(1,4),(-2,3),(3,1)}

d)

{(1,-2),(-3,0),(4,1),(-2,3),(3,1)}

16.

a)

The size of the room depends on the amount of paint you have to buy.

b)

The amount of paint you need to buy depends on the size of the room.

17.

True or False: If the the D: {All Real Numbers} then the graph will be continuous.

a)

True

b)

False

18.

 g(x)=2x2−2, find g(−3)g\left(x\right)=2x^2-2,\ find\ g\left(-3\right)  

(a)  

19.

 f(x)=3x2+7, find f(−1)f\left(x\right)=3x^2+7,\ find\ f\left(-1\right)  

a)

10

b)

-10

c)

4

d)

-4

20.

What are the ordered pairs that are on this graph?

a)

{(0,-3),(1,-2),(-2,-3),(4,1),(3,-1)}

b)

{(0,-3),(-2,1),(-2,3),(1,4),(3,1)}

c)

{(-3,0),(-2,1),(3,-2),(1,4),(3,-1)}

d)

{(-3,0),(1,-2),(3,2),(4,1),(3,1)}

Answer Key

Functions Test Review

Total questions: 20

1.
c)

-5

2.
d)

18

3.
b)

Graph B

4.
c)

Graph C

5.
c)

Graph C

6.
b)

table

7.
a)

3

, c)

7

, e)

-1

8.
b)

4

, d)

1

9.
9, f(20)=9
10.
b)

False

11.
b)

{-3,1,3,4}

12.
6, f(-2)=6
13.
a)

The more passengers; The more subway cars.

14.
a)

True

15.
c)

{(-2,1),(0,-3),(1,4),(-2,3),(3,1)}

16.
b)

The amount of paint you need to buy depends on the size of the room.

17.
a)

True

18.
16, g(-3)=16
19.
a)

10

20.
b)

{(0,-3),(-2,1),(-2,3),(1,4),(3,1)}

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FAQs

What does the Functions Test Review worksheet cover?

This worksheet reviews evaluating functions from given rules, including linear and quadratic expressions, and interpreting functions shown as ordered pairs, mapping diagrams, tables, and graphs. Its 20 questions use multiple-choice, multiple-select, and fill-in-the-blank formats to build accuracy with substitution, identifying x- and y-values, determining range, recognizing functions, and connecting graphs to real-world situations.

How can I use this worksheet to teach function evaluation and representations?

Begin by modeling substitution into a function rule, including careful handling of negative inputs, then have students explain each step before completing the evaluation items. Use the ordered-pair, mapping-diagram, table, and graph questions afterward to compare how the same function ideas—inputs, outputs, relationships, and range—appear in different representations.

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

Students may substitute a negative input incorrectly, confuse an x-value with its corresponding y-value, or select only one answer on the multiple-select items when several coordinates are required. Also watch for students who read a range from the inputs, reverse the direction of a mapping diagram, or overlook how rising and horizontal graph segments represent changes and pauses in a real-world situation.

How do I assign and grade the Functions Test 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 checking all 20 items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the PDF option can also support classrooms that are reducing screen time.

How can I differentiate this functions worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the function rules, coordinate sets, and graph-based prompts easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping its evaluation and function-representation practice intact.

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.

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