Linear Relationships Quiz

Which statement correctly describes the relationship represented by the graph?

• The relationship is linear and proportional.

• The relationship is linear and non-proportional.

• The relationship is non-linear and proportional.

• The relationship is non-linear and non-proportional.

Tags

CCSS.8.F.A.3

Triangle ABC and triangle EBD are similar right triangles. The coordinates of all vertices are integers. Which statement is true about the slope of BC and the slope of BD?

• The relationship between the slope of BC and the slope of BD cannot be determined because the triangles are overlapping.

• The slope of BC is greater than the slope of BD, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for BC than it is for BD.

• The slope of BC is less than the slope of BD, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for BC than it is for segment BD.

• The slope of BC is equal to the slope of BD, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for BC as it is for BD.

Tags

CCSS.8.EE.B.6

A deep sea diver swims downwards 20 feet every minute. Which graph has a slope that best represents this rate?

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Tags

CCSS.8.EE.B.5

Determine whether graph A represents a proportional relationship. Explain your reasoning.

• Graph A represents a proportional relationship because it does pass through the origin.

• Graph A represents a proportional relationship because it does not pass through the origin.

• Graph A represents a non-proportional relationship because it does pass through the origin.

• Graph A represents a non-proportional relationship because it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Determine whether graph B represents a proportional relationship. Explain your reasoning.

• Graph B represents a proportional relationship because it does pass through the origin.

• Graph B represents a proportional relationship because it does not pass through the origin.

• Graph B represents a non-proportional relationship because it does pass through the origin.

• Graph B represents a non-proportional relationship because it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Consider the graph shown. Determine the slope of the graph.

Tags

CCSS.8.EE.B.5

The value of y varies directly with x. When y = 12, x = 1.5. What is the value of y when x is 9?

• 72

• 27

• 8

• 0.125

Malik owns a lawn-mowing business. The number of lawns he mows varies directly with the number of hours he works. On Tuesday he mowed 4 lawns in 5 hours.

 

How many lawns can Malik mow on Wednesday if he works for 7.5 hours?

• 6.5

• 10

• 6

• 9.375

Triangles ABC and DCE are similar right triangles. Which proportion can be used to show that the slope of BC is equal to the slope of CE ?

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Tags

CCSS.8.EE.B.6

A worker paints 4 cabinets in 8 hours. Which graph has a slope that best represents the number of cabinets the worker paints per hour?

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Tags

CCSS.8.EE.B.5