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Representing a Linear Relationship

Total questions: 18

Worksheet time: 23mins

Name
Class
Date
1.

Jeremy had $200 in his bank account. Over the next three weeks he spent $80 of it. What is the initial value?

a)

$80

b)

$200

c)

$120

d)

$280

2.

Sophia has $25 in her bank account. She started to work at Chipotle to save up and gets paid $12 an hour. What is the rate of change?

a)

$8 an hour

b)

$25

c)

$12 an hour

d)

$12 a year

3.
What is the initial value?
a)
0
b)
3
c)
33
d)
66
4.

What is the initial value in this equation?

y=8x+6

a)

8

b)

6

5.
What is the general form of a linear equation?
a)
y = mx + b
b)
y = 2x + 1
c)
m = (y2- y1)/(x2 - x1)
d)
x = my + b
6.

Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

a)

$50

b)

$125

7.

Identify the rate of change from the following equation;

y = -3x + 3

a)

0

b)

3

c)

-3

d)

1

8.

Identify the rate of change from the following function;

y = 1/2x +20

a)

1/2

b)

-1/2

c)

10

d)

-10

9.

1. A plant is 5 cm tall and growing at a rate of 3 cm a month. What is the linear equation that represents this?

a)

y= 5 + 3

b)

y= 5x + 3

c)

y= 3x + 5

10.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x  + 325
c)
y = 325 - 12x
d)
y = 325x + 12
11.

Find the rate of change

a)

1

b)

2

c)

11

d)

-2

12.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 8.5x + 25.5

c)

y = 8.5 + 25.5x

13.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
14.
What is the initial value?
a)
-3
b)
0
c)
3
d)
20
15.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which number represents the initial value?

a)

$2

b)

$40

c)

$38

d)

y = -2x + 40

16.

Sandra has a $20 itunes gift card and spends $3 each month. What is the rate of change if the initial value is $20?

a)

$3

b)

$20

c)

$-3

d)

$17

17.

A family buys a case of water with 48 bottles and drinks 5 bottles per day. What is the initial value?

a)

25 bottles

b)

43 bottles

c)

48 bottles

d)

5 bottles per day

18.

What is the rate of change?

a)

0.25

b)

-0.25

c)

5

d)

4