Finding Equations from Multiple Representations

How is this pattern growing? Write an algebraic expression to represent the growth of this pattern.

_{(image from visualpatterns.org)}

• 3x + 1

• 3x - 1

• 3x

• x + 3

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation?

• y = 30x + 100
• y = 20x + 120
• y = 120x + 120
• y = 50x + 100

What equation represents this graph?

• y = 60x
• y = 40x
• y = 80x
• y = 20x

How is this pattern growing? Write an algebraic expression to represent the growth of this pattern.

_{(image from visualpatterns.org)}

• 2x + 1

• 2x - 1

• 2x

• x + 2

Which equation matches the table? 

• y = x + 4
• y = 5x
• y = x - 4
• y = x + 16

Which equation matches the graph? 

• y = 3x 
• y = x + 3
• y = ⅓x
• y = x - 3

What equation can be used to represent the relationship between the input (x) and output (y)?

• y = x + 4
• y = 3x
• x = y + 4
• x = 3y

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

• y=4x+3
• y=3x-4
• y= -4x+3
• y=3x+4

How is this pattern changing? Choose the correct description of the change in the pattern.

_{(image from https://www.ck12.org/)}

• Each step has twice as many squares as the previous step.

• Each step has 8 fewer squares than the previous step.

• Each step has half the number of squares as the previous step.

• Each step has 4 fewer squares than the previous step.

Write an equation for this situation.

• y=9.75x
• y=x + 19.25
• y=19.25x
• y=9.5x