Proportional and Non-proportional Review

Which equation represents a proportional relationship?

• y= x+ ⅓

• y= 1 - ⅓x

• y= 3x + ⅓

• y=⅓x

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.3

A class is taking a trip to the aquarium. The teacher has received only 2 permission slips for every 5 students in the class. Use the graph. Which line represents the problem situation?

• y₁

• y₂

• y₃

• y₄

Tags

CCSS.8.EE.B.5

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

Which line represents a proportional relationship?

• y₁

• y₂

• y₃

• y₄

Tags

CCSS.8.EE.B.5

Which statement can you use to conclude that the relationship must be non-proportional?

• The graph of the relationship is linear.

• The y-intercept of the graph of the relationship is (0, 1).

• The relationship has a constant rate of change.

• The equation of the relationship is in the form y = kx.

Tags

CCSS.8.F.A.3

CCSS.8.F.B.5

The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate shown in the graph?

• y =⅕ x

• y =⅛ x

• y =⅖x

• y =⅔ x

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.2

CCSS.8.F.B.4

A bird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. His predictions are shown in the graph. what is the rate of change of the graph?

• 1/4

• 2/7

• 7/2

• 4/1

Tags

CCSS.8.EE.B.5

CCSS.8.F.B.4

CCSS.8.SP.A.3

The line y=5 x is transformed to create the line y =-1/2x - 1. Which of the following may be used to describe the transformation? Select all that apply.

• All x-values are opposites of half the original x-values

• The graph is reflected across the y-axis, moved 1 unit down, and the rate of change is halved.

• The graph is reflected across the y-axis, moved 1 unit down, and the rate of change is tripled

• The graph is reflected across the y-axis, moved 1 unit down, and the rate of change is doubled.

Tags

CCSS.8.F.B.4

CCSS.8.G.A.1

CCSS.8.G.A.3

Which statement is always true?

• A linear relationship is proportional.

• A linear relationship is non-proportional.

• A proportional relationship contains the point (0, 0).

• A non-proportional relationship has a constant rate of change.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

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.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

Consider the graph shown. Which of the following does not represent the rate of change found when using similar triangles? Select all that apply

• 1/2

• 2/4

• -1/2

• -1/4

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4