Name:    Lesson 1: Writing a Pattern Rule

1.

Select the best description for this pattern of stars and moons.

 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.

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 2 c. 2n + 7 d. 7n + 2n

6.

Select the pattern rule for this pattern of circles.

 a. (n + 2) + 1 b. (n 1) + 1 c. (n + 1) + 1 d. (n + 1) + 2

7.

Select the pattern rule for this pattern of circles.

 a. 4n + (n + 1) b. n + (n + 6) c. n + (n 1) d. n + (n + 1)

8.

Select the pattern rule for this pattern of circles.

 a. n + 3 b. 2n + 1 c. 2n + 2 d. 2n + n

9.

Select the pattern rule for this pattern of circles.

 a. (n + 1) + 1 b. (n + 3) + 1 c. (n 1) + 1 d. (n + 1) 1

10.

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