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Multiple Representations of Linear Equations

Total questions: 13

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

Which equation identifies the relationship in the table?

a)

y = 2x - 5

b)

y = -2x + 5

c)

y = 2x + 5

d)

y = -2x - 5

2.

Which of the following linear equations best represents the graph shown?

a)

y = −12x + 10y\ =\ -\frac{1}{2}x\ +\ 10

b)

y = 10x - 2

c)

y = -2x + 10

d)

y = 2x + 10

3.

Which of the following graphs is represented by the linear equation:  y = 23x + 1y\ =\ \frac{2}{3}x\ +\ 1  

a)
b)
c)
d)
4.
a)
y = 5x
b)
y = x + 5
c)
y = x + 470
d)
y = 94x 
5.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

a)

y=50xy=50x

b)

y=20x+30y=20x+30

c)

y=30x+20y=30x+20

d)

20x+30y20x+30y

6.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which table models the amount she charges over time?

a)
b)
c)
d)
7.

The temperature at dawn was  −5°-5\degree F and it rose  2°2\degree F every hour. 

Which equation models the temperature over time? 

a)

 y=5−2xy=5-2x  

b)

 y=−5−2xy=-5-2x  

c)

 y=5+2xy=5+2x  

d)

 y=−5+2xy=-5+2x  

8.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
9.

What is the equation for the table?

a)

 y = 14x − 3y\ =\ \frac{1}{4}x\ -\ 3  

b)

y = 4x - 3

c)

y = -3x - 3 

d)

y = -2x - 3 

10.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y = 15x

b)

y = 15x + 80

c)

y = x + 15

d)

y = 80x + 15

11.

Is the graph proportional or non proportional?

a)

Proportional

b)

Non-proportional

12.

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

a)

y = 4x + 3

b)

y = 3x - 4

c)

y = -4x + 3

d)

y = 3x + 4

13.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


y = 2.75x + 4.25


What does x represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma