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Algebra 1 Functions And Relations Test

Authored by Miranda Creech

Mathematics

8th - 10th Grade

CCSS covered

Used 52+ times

Algebra 1 Functions And Relations Test
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This quiz comprehensively covers functions and relations, a foundational topic in Algebra 1 that is most appropriate for grades 9-10. The assessment evaluates students' understanding of multiple representations of relations including ordered pairs, tables, graphs, and mapping diagrams. Students must demonstrate mastery of domain and range identification, function notation evaluation, and the critical distinction between relations and functions using the vertical line test and one-to-one correspondence principles. The questions progress from basic interpretation of graphical data to more complex function evaluation problems, including linear functions like f(x) = 3x - 7 and quadratic functions such as f(x) = -2x² - 3. Students need strong coordinate plane reading skills, algebraic manipulation abilities, and conceptual understanding of why functions require each input to have exactly one output. Created by Miranda Creech, a Mathematics teacher in US who teaches grade 8,10. This quiz serves as an excellent formative or summative assessment tool that can be deployed as a comprehensive unit test, review session before state testing, or diagnostic assessment to identify gaps in students' understanding of functions and relations. The variety of question formats makes it ideal for differentiated instruction, allowing teachers to focus remediation on specific representation types where students struggle. Teachers can use individual sections for targeted practice sessions or assign the entire quiz as homework to reinforce classroom learning. This assessment aligns with Common Core standards A.REI.3 for solving linear equations, F.IF.1 for understanding function concepts, F.IF.2 for function notation evaluation, and F.IF.5 for interpreting functions in context, providing comprehensive coverage of essential Algebra 1 function standards.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which set of ordered pairs represents the relation shown in the graph?

{(3, -5), (-2, 0), (2, 0), (-1, 1), (3, 5)}
{(5, -3), (2, 0), (0, -2), (-1, 1), (-3, -5)}
{(-5, 3), (0, -2), (2, 0), (1, -1), (3, 5)}
{(-5, 3), (-2, 0), (0, 2), 1, -1), (3, 5)}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which table represents the relation shown in the graph?

x | y
5 | 3
-1 | 1
2 | 0
0 | -2
3 | -5
x | y
1 | -1
0 | -2
2 | 0
-5 | 3
3 | 5
x | y
-5 | 3
-2 | 0
0 | 2
1 | -1
3 | 5
x | y
3 | 5
-1 | 1
0 | -2
0 | 2
-5 | 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the domain of the relation shown in the graph above?

{0, 1, 2, -2, 3}
{1, 3, 0, -2, -5}
{0, 2, -1, 3, 5}
{-5, -2, 2,-1, 3}

Tags

CCSS.8.F.A.1

CCSS.8.F.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the range of the relation shown in the graph above?

{2, 0, 3, -1, 5}
{0, 1, 3, -2, -5}
{-2, 2, -1, 5, 3}
{2, 0, -1, -5, 3}

Tags

CCSS.8.F.A.1

CCSS.8.F.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which mapping represents the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?

A
B
C
D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement is true about the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?

The relation is NOT a function because all the y-values are not different.
The relation is NOT a function because all the x-values are not different.
The relation is a function because the y-values are different.
The relation is a function because all the x-values are different.

Tags

CCSS.8.F.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the domain of the graph shown?

-2 < y ≤ 6
-6 ≤ x < -2
-6 < y ≤ 6
-6 < x ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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