Algebraic Relationships from Tables & Graphs

Write an equation for the table.

• y = x + 3

• y = 3x

• x = y + 3

• x = 3y

Tags

CCSS.6.EE.C.9

Meredith is playing a video game. She earns the same number of points for each alien she captures. She earned 750 points for capturing 5 aliens and 1,350 points for capturing 9 aliens. Write an equation to represent the relationship.

• x = y + 150

• x = 150y

• y = 150x

• y = 150 + x

Tags

CCSS.HSF-BF.A.1A

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes.

• y = 25x and 200 ft

• y = 25x and 300 ft

• y = 35x and 100 ft

• y = 50x and 1500 ft

Tags

CCSS.HSF-LE.A.1B

Compare the y-values in the table to the corresponding x-values. Determine whether there is an additive relationship or a multiplicative relationship between x and y. If possible, write an equation modeling the relationship. If, not explain why.

• y = 3x

• y = x + 3

• No consistent pattern.

Tags

CCSS.HSF-LE.A.1B

Georgia knows that there is either an additive or multiplicative relationship between x and y. She only knows a single pair of data values. Explain whether Georgia has enough information to write an equation that models the relationship between x and y.

• Yes, one data is enough to find the pattern.

• No, one data is not enough to find the pattern.

Tags

CCSS.HSF-LE.A.1B

What is the pattern in the table?

• The total amount is 5 less than the gift shop amount.

• The total amount is 5 times the gift shop amount.

• The total amount is 5 more than or greater than the gift shop amount.

• The total amount is 5 more than the gift shop amount.

Tags

CCSS.HSF.LE.B.5

Write the equation for the graph.

• y = x + 2

• y = 2x

• y = x + 5

• y = 5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which graph has the relationship y = x + 1?

• 
• 
• 
• 

Tags

CCSS.8.EE.B.5

Marcus plotted the points (0, 0), (6, 2), (18, 6), and (21, 7) on a graph. He wrote an equation for the relationship. Find another ordered pair that could be a solution of Marcus’s equation.

• (12, 3)

• (36, 6)

• (48, 12)

• (66, 22)

Tags

CCSS.5.OA.B.3

Suppose you graph y = 5x and y = x + 5 on the same coordinate plane. Which line will be steeper? Why?

• y = x + 5 will be steeper because each time it is adding 5 to the independent variable.

• y = 5x is steeper because y increases more rapidly for each value of x.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9