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. Figure 1                          Figure 2                  Figure 3
 a. 3 + n b. 3 + 2n c. 2 + 3n d. 3 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. c. b. d. 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. 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 4 d. b = 4p 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. c. b. d. 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. 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. a. y = 3n + 1 b. y = 2n + 7 c. y = 3n + 7 d. y = 4n + 5