Name: 
 

Lesson 4: Linear Relations and Their Graphs



 1. 

Select the pattern rule for the total number of squares in each figure in the pattern below.

               mc001-1.jpg
                  Figure 1                          Figure 2                  Figure 3
a.
3 + n
b.
3 + 2n
c.
2 + 3n
d.
3 mc001-2.jpg 2n
 

 2. 

Select the table of values that matches the number of squares in each figure from question 1.

A.  
Figure number
1
2
3
4
Number of squares
3
5
7
9

B.
Figure number
1
2
3
4
Number of squares
2
4
6
8

C.
Figure number
1
2
3
4
Number of squares
5
7
9
11

D.
Figure number
1
2
3
4
Number of squares
4
7
10
13
a.
A
b.
B
c.
C
d.
D
 

 3. 

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

mc003-1.jpg
c.

mc003-3.jpg
b.

mc003-2.jpg
d.

mc003-4.jpg
 

 4. 

Use the graph from question 3 to determine the number of squares that would be in Figure 7.
a.
14
b.
21
c.
15
d.
17
 

 5. 

Patrick is using this pattern to design a straight path with paving stones and border pieces.
         mc005-1.jpg

Select the pattern rule for the number of border pieces, b, needed for each number of paving stones, p.
a.
b = 3p + 4
b.
b = 4p + 3
c.
b = 3p mc005-2.jpg 4
d.
b = 4p mc005-3.jpg 3
 

 6. 

Select the table of values that matches the number of border pieces and paving stones from question 5.

A.  
Number of paving stones
1
2
3
4
Number of border pieces
5
9
13
17

B.
Number of paving stones
1
2
3
4
Number of border pieces
7
11
15
19

C.
Number of paving stones
1
2
3
4
Number of border pieces
7
10
13
16

D.
Number of paving stones
1
2
3
4
Number of border pieces
4
11
18
26
a.
A
b.
B
c.
C
d.
D
 

 7. 

Select the graph that matches the pattern from question 5.
a.

mc007-1.jpg
c.

mc007-3.jpg
b.

mc007-2.jpg
d.

mc007-4.jpg
 

 8. 

Determine the number of border pieces needed for a path with 20 paving stones.
a.
58
b.
66
c.
72
d.
64
 

 9. 

Determine which linear relation matches the following graph.

                     mc009-1.jpg
a.
y = 2n + 1
b.
y = 4n + 1
c.
y = 3n + 2
d.
y = 4n + 3
 

 10. 

Determine which linear relation matches the following graph.

                      mc010-1.jpg
a.
y = 3n + 1
b.
y = 2n + 7
c.
y = 3n + 7
d.
y = 4n + 5
 



 
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