Math 8 Winter Benchmark Review '25-'26

What is the equation of the line?

• y = -3/2x - 4

• y = -2/3x - 4

• y = 3/2x - 4

• y = 2/3x - 4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which statement about the graph of a linear function is true?

• The graph intersects the x-axis in two unique places.

• The graph intersects the y-axis in two unique places.

• The graph is a curved line.

• The graph is a straight line.

Tags

CCSS.HSF-IF.C.7A

If a student, instead, wants the line to intersect the y-axis at (0, -8), which statement is true?

• The student should write the new equation of the line as y = -8x.

• The student should write the new equation of the line as y = -8.

• The student should write the new equation of the line as y = x - 8.

• The student should write the new equation of the line as y = -3/2x - 8.

Which equations represent a nonlinear function? Select ALL that apply.

• y = 5 + 2x

• -6x - 4y = 9

• y = 4

Tags

CCSS.8.F.A.3

Which equations represent linear functions? Select ALL that apply.

• -y = 5x

• y = x/2 - 8

• 2x - 3y = 5

Tags

CCSS.8.F.A.3

Consider the relation shown in the figure. Domain: 1, 0, 3, 4 Range: 3, 4, 1 Which ordered pairs show that the relation is not a function?

• (0,0) and (3,3)

• (1,3) and (1,4)

• (1,3) and (4,1)

• (3,3) and (1,3)

Tags

CCSS.8.F.A.1

A gardener grows sunflowers and records the heights, y, in centimeters, each day, x. The table shows the gardener’s data. Day | Height (cm) 1 | 11 2 | 14 3 | 17 4 | 20 Which equation represents the relationship between x and y?

• y = 3x

• y = 3x + 8

• y = 8x

• y = 8x + 3

Tags

CCSS.6.EE.C.9

Which statement correctly proves the slope between points Q and R is the same as the slope between points R and S?

• The change in x between points Q and R is half the change in x between points R and S.

• The change in y between points R and S is triple the change in y between points Q and R.

• The change in y divided by the change in x between points Q and R is equivalent to the change in y divided by the change in x between points R and S.

• The change in y divided by the change in x between points Q and R is less than the change in y divided by the change in x between points R and S.

Tags

CCSS.8.EE.B.6

A student graphs the equation on a coordinate plane. y = -3/4x + 24 Which statement is true?

• The equation represents a linear function because the rate of change is constant.

• The equation represents a linear function because the rate of change is negative.

• The equation represents a linear function because the rate of change is not constant.

• The equation represents a linear function because the rate of change is positive.

Tags

CCSS.HSF-LE.A.1B

A family purchases a bag of trail mix and eats the same amount, in pounds, each day. The graph shows the amount of trail mix remaining, y, based on the number of days, x, since the bag was purchased. Which statements are true? SELECT ALL THAT APPLY.

• The initial value is 2.25 because the family eats 1/6 pound of trail mix each day.

• The initial value is 2.25 because the bag originally has 2.25 pounds of trail mix in it.

• The rate of change is -1/6 because the family eats 1/6 pound of trail mix each day.

• The rate of change is -1/4 because the bag originally has -1/4 pound of trail mix in it.

• The rate of change is 2.25 because the bag originally has 2.25 pounds of trail mix in it.

Tags

CCSS.HSF.LE.B.5