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Linear Relations Review

Total questions: 50

Worksheet time: 2hrs 22mins

Name
Class
Date
1.
Match the equation to a correct statement.
a)
He charged $5 every hour.
b)
He left 5 hours ago.
c)
he started with $5
d)
he bought 5 lemons
2.
What is the cost for 5 items?
a)
5
b)
0
c)
30
d)
25
3.

What is the Initial Value (y-intercept) in this graph?

a)

0

b)

1

c)

5

4.
Total pay is $10 to show up
and $7  for every hour worked. Which of the following statements is true?
a)
The initial value is 7
b)
the initial value is 10
c)
the rate of change is 10
d)
the initial value is 17
5.
If Nick works 10 hours, how much money will he earn? (Use this rule)
a)
$17
b)
$70
c)
$80
d)
$107
6.
The initial value is ...
a)
20
b)
0 
c)
100
d)
5
7.
The equation for this graph  is ...
a)
C = 5n
b)
C = 100n
c)
C = -5n + 100
d)
C = 5n + 100
8.
If you extended the pattern, how many dots would come next?
a)
16
b)
20
c)
25
d)
30
9.
Is the point (1,1) on the line formed by y = 2x?
a)
Yes
b)
No
c)
Sometimes
d)
Can't tell
10.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
11.
Which ordered pair forms point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
12.
Does y = x -1 go through (0,0)?
a)
yes
b)
no 
c)
sometimes
13.
What is the equation for the table?
a)
y =1/4x -3
b)
y =4x - 3
c)
y = -3x -3 
d)
y =-2x -3 
14.

Which of the following equations follows the rule based on the table?

a)

y = 0x

b)

y = 6x

c)

y = x + 6

d)

y = x + 1

15.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

16.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
17.

Which of the following equations follows the rule based on the table?

a)

y = 0x

b)

y = 6x

c)

y = x + 6

d)

y = x + 1

18.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
19.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
20.
Which number in the ordered pair, (-4, 5) represents the x-value? 
a)
-4
b)
5
21.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
22.

True/False: The point (4 , 2) means that 4 cookies were purchased for $2.

a)

True

b)

False

23.

Which equation represents this graph?

a)

y=15x+3y=\frac{1}{5}x+3

b)

y=−5x−3y=-5x-3

c)

y=5x+3y=5x+3

d)

y=−3x+0.5y=-3x+0.5

24.

What is the equation for this graph?

a)

y = 2

b)

x = 2

c)

0

d)

undefined

25.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
26.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
27.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
28.
a)

a

b)

b

c)

c

d)

d

29.

a)

a

b)

b

c)

c

d)

d

30.

____ 3. The ordered pair (5, ) is in the linear relation with equation y = -2x + 8

Find the missing number in the ordered pair.

a)

1

b)

11

c)

-2

d)

-18

31.

4. Marsha works part-time in a coffee shop and earns $12 per hour.

An equation for this relation is w = 12h , where h represents the number of hours Marsha worked and w represents her earnings in dollars. In one week Marsha earned $180.

How many hours did she work?

a)

14

b)

168

c)

16

d)

15

32.
a)

a

b)

b

c)

c

d)

d

33.

a)

a

b)

b

c)

c

d)

d

34.

a)

a

b)

b

c)

c

d)

d

35.

10. Solve for x in the equation

2x + 4 = -8

a)

-6

b)

-2

c)

6

d)

2

36.

11. In the equation P = 7n + 6, determine the value of P when n = 8.

a)

62

b)

15

c)

98

d)

89

37.
a)

a

b)

b

c)

c

d)

d

38.

a)

a

b)

b

c)

c

d)

d

39.

a)

a

b)

b

c)

c

d)

d

40.

a)

a

b)

b

c)

c

d)

d

41.

17. Which equations describe horizontal lines?

i) 3x + 2y = -7

ii) 2x = -4

iii) y = -4x + 5

iv) y = -8

a)

iv

b)

ii and iv

c)

i and iii

d)

ii

42.

18. Which equations describe vertical lines?

i) 3x + 2y = -7

ii) 2x = -4

iii) y = -4x + 5

iv) y = -8

a)

iv

b)

ii and iv

c)

i and iii

d)

ii

43.

16. Which equations describe oblique lines?

i) 3x + 2y = -7

ii) 2x = -4

iii) y = -4x + 5

iv) y = -8

a)

iv

b)

ii and iv

c)

i and iii

d)

ii

44.
a)

a

b)

b

c)

c

d)

d

45.

a)

a

b)

b

c)

c

d)

d

46.

What is the approximate volume of 300 g according to the graph above?

a)

200 mL

b)

250 mL

c)

300 mL

d)

350 mL

47.

A student used the graph to determine that the volume of a sample should be 300 mL when the mass is 300 g. Was this point determined by extrapolation or interpolation?

a)

extrapolation

b)

interpolation

48.

What is the approximate maximum heart rate of an 80 year old person?

a)

40 beats per minute

b)

45 beats per minute

c)

50 beats per minute

d)

80 beats per minute

49.

A student used the graph below to determine that the maximum heart rate of a person should be 45 beats per minute when a person is 80 years old. Was this point determined by extrapolation or interpolation?

a)

extrapolation

b)

interpolation

50.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

$200 is earned for every 3 hours worked