Algebra Number Patterns

Ted gets a $10 allowance every week and saves $6 of it. He makes a graph to show his savings, where the x-coordinate represents the number of weeks and the y-coordinate represents the number of dollars saved. Which of the following ordered pairs could be on the graph?

• (6, 60)

• (36, 6)

• (1, 60)

• (6, 36)

Rob is making a fruit punch for a party. He adds 4 cups of pineapple juice for every cup of orange juice. Which ordered pair shows how many cups of pineapple juice he needs for 3 cups of orange juice?

• (4, 8)

• (1, 2)

• (3, 12)

• (3, 4)

For every $1 the students raise for the new playground equipment fund, the parents association donates $10 to the fund. If the x-coordinate is the amount the students raise and the y-coordinate is the amount the parents donate, which ordered pair could be on the graph?

• (20, 30)

• (20, 10)

• (20, 200)

• (20, 2,000)

Shakira saves $2 for every $3 she spends. She makes a graph that compares the amount she spends to the amount she saves. Which ordered pairs could be on Shakira’s graph?

• (6, 9), (8, 12)

• (2, 3), (4, 6)

• (3, 6), (6, 12)

• (9, 6), (12, 8)

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

On a grid, the first ordered pair is (3, 8). Using the rule “add 3 to each x-coordinate and add 8 to each y-coordinate,” what will be the difference of the two numbers in the 4 ordered pair?

• 5

• 10

• 15

• 20

Which rule matches the pattern below?
x: 14, 11, 8, 5
y: 10, 9, 8, 7

• X: Start at 14 and subtract 1.
  Y: Start at 9 and subtract 1.

• X: Start at 14 and subtract 1.
  Y: Start at 8 and subtract 1.

• X: Start at 14 and subtract 3.
  Y: Start at 10 and subtract 1.

• X: Start at 19 and subtract 3.
  Y: Start at 9 and subtract 1.

Carly was shading numbers that follow a pattern before her paper ripped. Which of these is the rule for the pattern of numbers shaded on Carly's paper?

• multiply by 4

• multiply by 2

• add 16

• add 8