Name: 
 

Lesson 7: Solving Equations by Graphing



 1. 

Danielle earns $9 per hour plus $25 a week in tips working at Mike’s Car Wash during the summer. Select the equation that represents the amount she earns, A, after she works h hours in a week.
a.
A + 9h = 25
b.
A = 9h + 25
c.
A = 9h mc001-1.jpg 25
d.
25 = A mc001-2.jpg 9h
 

 2. 

Select the table of values that matches the equation from question 1.

A.
Number of hours, h
5
7
9
11
Amount earned, A
70
88
106
124

B.
Number of hours, h
5
7
9
11
Amount earned, A
25
43
61
79

C.
Number of hours, h
5
7
9
11
Amount earned, A
70
95
120
145

D.
Number of hours, h
5
7
9
11
Amount earned, A
45
63
81
99
a.
A
b.
B
c.
C
d.
D
 

 3. 

Select the graph that matches the equation from question 1.
a.

mc003-1.jpg
c.

mc003-3.jpg
b.

mc003-2.jpg
d.

mc003-4.jpg
 

 4. 

Use the graph to determine Danielle’s earnings if she works 25 h in a week.

mc004-1.jpg
a.
$240
b.
$260
c.
$250
d.
$270
 

 5. 

Use the graph in question 4 to determine how many hours Danielle would have to work in a week to earn $169.
a.
15 hours
b.
18 hours
c.
17 hours
d.
16 hours
 

 6. 

Gary used toothpicks to design this pattern of hexagons.

                  mc006-1.jpg

Select the table of values that represents the pattern.

A.
Figure number
1
2
3
4
5
Number of toothpicks
6
12
18
24
30

B.
Figure number
1
2
3
4
5
Number of toothpicks
5
11
17
23
29

C.
Figure number
1
2
3
4
5
Number of toothpicks
6
11
16
21
26

D.
Figure number
1
2
3
4
5
Number of toothpicks
5
10
16
23
31
a.
A
b.
B
c.
C
d.
D
 

 7. 

Gary drew this graph to represent the number of toothpicks used for each figure in the pattern of hexagons.

mc007-1.jpg
Use Gary’s graph to select the number of toothpicks used in Figure 13.
a.
51
b.
81
c.
76
d.
66
 

 8. 

Use Gary’s graph from question 7 to determine which figure uses 86 toothpicks.
a.
12
b.
17
c.
10
d.
18
 

 9. 

The graph represents the equation y = 4x + 5, where y is the term value and x is the term number.

                mc009-1.jpg
Use the graph to determine the term value for the 9th term number.
a.
41
b.
49
c.
37
d.
53
 

 10. 

Use the graph from question 9 to determine which term number gives a term value of 69.
a.
11
b.
18
c.
16
d.
14
 



 
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