Patterns and Ordered Pairs

One pattern starts with 0 and has the rule add 4. A second pattern starts with 0 and has the rule add 7. Which are the ordered pairs for these two patterns?

• (0,4) , (0,7) , (0,8) , (0,14)

• (0,0) , (1,1), (5,8), (9,15)

• (0,0), (7,4), (14,8) , (21, 12)

• (0,0), (4,7), (8,14) , (12, 21)

On Monday, Kai rode his bike 2 miles. He rode 5 miles on Tuesday and 8 miles on Wednesday. Thursday he rode 11 miles. If the pattern continues how far will Kai ride his bike on Friday?

What is the next number in the pattern ? 5,8,11,14,17,20,...

• 21

• 22

• 23

• 25

The terms in the second pattern are ______ the corresponding terms in the first pattern.

• 2 times

• 3 times

• 4 times

• 7 times

Use the patterns provided in the table below to determine the sixth ordered pair.

• (12, 20)

• (18, 30)

• (15, 25)

• (9, 15)

The coordinate plane shows the pattern of the x-axis representing the rule add 2 and the y-axis representing the rule add 3. Use the rules to determine the next point on the coordinate grid.

• A. (8, 9)

• B. (6, 12)

• C. (8, 12)

• D. (12, 8)

Use the patterns below to answer the question.  

Pattern 1: Add 6 with starting number 0.

Pattern 2: Add 4 with starting number 0.

What are the first three coordinates?

• (0, 0), (4, 6), (8, 12)

• (6, 4), (10, 8), (16,14)

• (0, 0), (6, 4), (10, 8)

• (0, 0), (6, 4), (12, 8)

Which ordered pair is described below?

Begin at the origin and move 5 spaces right.

• (1, 5)

• (5, 1)

• (5, 0)

• (0, 5)

Shelley traveled Home by moving 1 units left and 3 units down. She ended up at Home. Which ordered pair describes where she started? 

• (3,8)

• (8,8)

• (4,1)

• (0,10)

What is the first number in Heather’s pattern that also appears in Sydney’s pattern?

• 8

• 12

• 16

• 32