Name: 
 

Lesson 1: Writing a Pattern Rule



 1. 

Select the best description for this pattern of stars and moons.  
              mc001-1.jpg
            mc001-2.jpg
a.
There are always 5 moons and the number of stars increases by 1 for each figure number.
b.
There are always 5 moons and the number of stars increases by 3 for each figure number.
c.
There are always 5 moons and the number of stars increases by 2 for each figure number.
d.
There are always 2 more moons than stars for each figure number.
 

 2. 

Select the correct pattern rule for the pattern in question 1.
a.
n + 9
b.
n + 6
c.
n + 5
d.
n + 3
 

 3. 

Emily created the following table to show the number of hexagons in this pattern.

                      mc003-1.jpg
What are the next three entries in the table?
a.
6, 8, 10
b.
5, 6, 7
c.
6, 9, 13
d.
7, 11, 18
 

 4. 

Select the algebraic expression for the number of hexagons.
a.
n + 2
b.
n + 4
c.
n + 5
d.
n + 3
 

 5. 

Select the pattern rule that matches the description, “Multiply the figure number by 7 and then add 2”.
a.
7n + 2
b.
n + 5 mc005-1.jpg 2
c.
2n + 7
d.
7n + 2n
 

 6. 

Select the pattern rule for this pattern of circles. 

                  mc006-1.jpg
a.
(n + 2) + 1
b.
(n mc006-2.jpg 1) + 1
c.
(n + 1) + 1
d.
(n + 1) + 2
 

 7. 

Select the pattern rule for this pattern of circles.

             mc007-1.jpg
a.
4n + (n + 1)
b.
n + (n + 6)
c.
n + (n mc007-2.jpg 1)
d.
n + (n + 1)
 

 8. 

Select the pattern rule for this pattern of circles.

                        mc008-1.jpg
a.
n + 3
b.
2n + 1
c.
2n + 2
d.
2n + n
 

 9. 

Select the pattern rule for this pattern of circles.

            mc009-1.jpg
a.
(n + 1) + 1
b.
(n + 3) + 1
c.
(n mc009-2.jpg 1) + 1
d.
(n + 1) mc009-3.jpg 1
 

 10. 

How many circles are in the 10th figure for the pattern in question 9?
a.
14
b.
10
c.
12
d.
16
 



 
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