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Multiple Representations Worksheet

Explore different ways to represent linear relationships through equations, tables, and graphs.

Grade 9 Math AlgebraMultiple Representations
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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksOrdering

Standards

CCSS.MATH.CONTENT.8.F.A.1CCSS.MATH.CONTENT.8.F.A.3

Topics

algebrafunctionslinear equationsgraphstables
8 sections · Free to use · Printable
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Multiple Representations of Linear Functions

Name:

Date:

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Read each question carefully and follow the instructions to represent the given relationships in different forms.

1. Complete the table for the equation y = 2x - 3.

x

y = 2x - 3

y

-2

 

 

0

 

 

2

 

 

4

 

 

2. Plot the points from the table above on the coordinate plane below.

-5-4-3-2-112345-5-4-3-2-112345

3. Which equation best represents the line shown in the graph below?

x y 0 2 2 4 6
a

y = -0.5x + 5

b

y = 0.5x + 5

c

y = -2x + 5

d

y = 2x - 5

4. A taxi charges a flat fee of $2.50 plus $1.50 per mile. Write an equation to represent the total cost (C) for 'm' miles.

Equation: C =  

5. Write a word problem that can be represented by the equation y = 3x + 10.

6. Order the following representations from least to greatest slope.

y = 2x + 1

A line passing through (0, 0) and (2, 4)

A table with points: (1, 5), (2, 7), (3, 9)

A line with a y-intercept of 3 and an x-intercept of -3