8th grade regular topic iv assessment: relations and …

8th Grade Regular Topic IV Assessment: Relations and Functions

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1 Nov. 2014

MAFS.8.F.2.5

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1. Samantha is driving her sports utility vehicle from Miami to Jacksonville. Samantha

drives 8 kilometers every 10 minutes. The relationship between the amount of time

Samantha drives and the remaining distance to get to Jacksonville has a constant

rate of change.

Which statement is correct?

A. The relationship between time driven and remaining distance is proportional.

B. The remaining distance decreases by 24 kilometers for every ½ hour of driving.

C. Both statements are correct.

D. Neither statement is correct.


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2 Nov. 2014

MAFS.8.F.2.5

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2. Interpret the linear relationship between the unit cost of producing cars and the number of cars produced.

A. The unit cost of producing cars increases as the number of cars decreases.

B. The unit cost of producing cars decreases as the number of cars increases.

C. The unit cost of producing cars and the number of cars produced are proportional.

D. None of the above can be determined.

Un

it C

ost

Unit cost of producing cars

# of cars


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3 Nov. 2014

A. The slope of the graph is positive.

B. When x decreases by 4, y decreases by 6.

C. Both statements are correct.

D. Neither statement is correct.

MAFS.8.F.2.5

3. Which statement regarding the graph below is correct?


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4 Nov. 2014

4. Determine which graph represents a zero slope.

MAFS.8.F.2.5

Graph 1

Graph 2

Graph 3

Graph 4

A. Graph 1 B. Graph 2 C. Graph 3 D. Graph 4


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5 Nov. 2014

MAFS.8.F.2.5

5. The graph represents the distance traveled by Michael on his way to work and

back home.

Answer the following questions:

How long does it take Michael to travel to work and back home?

How many hours does Michael stay at work?

A. It takes Michael 30 minutes to travel to and

from work. He stays at work for 6 hours.

C. It takes Michael 1 hour to travel to and


B. It takes Michael 8 hours to travel to and

from work. He stays at work for 1 hour.

D. It takes Michael 60 minutes to travel to and



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6 Nov. 2014

MAFS.8.F.1.1

Use this prompt for questions 6-9.

Determine which of the following graphs illustrates a function.

Question # Statement True = graph is a function

False = graph is NOT a function

6 Graph 1 is a function. T F 7 Graph 2 is a function. T F

8 Graph 3 is a function. T F 9 Graph 4 is a function. T F

Graph 1 Graph 3

Graph 2 Graph 4


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7 Nov. 2014

MAFS.8.F.1.1


Determine which of the following mapping diagrams illustrate a function.

A. C.

B. D.

Question # Statement True = diagram

is a function

False = diagram is

NOT a function

10 Mapping diagram A is a function. T F

11 Mapping diagram B is a function. T F

12 Mapping diagram C is a function. T F

13 Mapping diagram D is a function. T F

4 5 6

1 2 3

4 5 6

8 5

5

1 2 3

1 8 9

5 6 7


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8 Nov. 2014

14. Write an equation to represent the function from the following table of values and indicate the slope.

Number of hot dogs 0 1 2 3 4 Cost ($) 0 4 8 12 16

A. y = 4x + 1; m = 1

B. y = 8x; m = 4

C. y = ¼ x + 0; m = ¼

D. y = 4x ; m = 4

MAFS.8.F.1.3


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9 Nov. 2014


In the following relation given by the set of ordered pairs, indicate whether the given

values for the missing ordered pair would create a function or would not create a

function.

{(-3,2), (-2,4), (1,8), (__,__)}

MAFS.8.F.2.4

Question # Ordered Pair True = Ordered Pair creates a function

False = Ordered Pair does NOT create function

15 (-3, 9) T F

16 (9, -3) T F 17 (-2, 7) T F

18 (8, 0) T F


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10 Nov. 2014

MAFS.8.F.1.2

MAFS.8.F.1.2

19. Identify the slope and the y-intercept in the following equation.

y = x

A. m = ½ ; y-int = 1

B. m = 1 ; y-int = 1

C. m = ½ ; y-int = 0

D. m = 1 ; y-int = 0

20. What is the equation of the line written in slope-intercept form?

2x + 4y = 8

A. y = -½ x + 2

B. y = ½ x - 2

C. y = 2x + 8

D. y = 4x - 2


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11 Nov. 2014


Determine whether the graphs of the system of equations have either one solution,

infinitely many solutions, or no solution.

Question #

Statement Exactly One

Solution

Infinitely Many

Solutions

No Solution

None

21 Graph 1 A B C D

22 Graph 2 A B C D 23 Graph 3 A B C D

MAFS.8.F.1.3

Graph 1 Graph 2 Graph 3


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12 Nov. 2014


The graph represents the total cost to send text messages. Based on the graph, which

of the following costs are correct?

MAFS.8.F.2.4

MAFS.8.F.2.4

Question # Statement True

False

24 5 text messages cost $0.75 T F




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13 Nov. 2014

MAFS.8.F.1.1


Determine if each statement about the relation {(3, 7), (5, 2), (8, 9), (7, 1)} is valid.

Question # Statement True

False

27 The domain of the relation is {1,2,7,9}. T F

28 The range of the relation is {1,2,7,9}. T F

29 The value 7 is a member of both the domain and range.

T F


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14 Nov. 2014


This graph represents a linear function.

Determine whether the given equations represent the function described by the

graph.

MAFS.8.F.1.3

MAFS.8.F.1.3

Question # Equation True

False

30

T F

31

T F

32

T F


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15 Nov. 2014


Listed below are functions that represent different retirement savings plans. Which

functions are nonlinear?

T = Linear / F = Non-Linear

MAFS.8.F.1.3

Question # Equation Linear

Non-Linear

33 y = 9.50x + 5 T F

34 y = 2.7x2 T F

35 y = ¼ x1 T F


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16 Nov. 2014

Use the following prompt for questions 36-38.

Compare the following functions to answer the questions below.

Function 1: y = 3x + 4

Function 2:

MAFS.8.F.1.2

x y

-1 -8 0 -6

2 -2

Question # Statement True Statement

False Statement

36 Function 1 has a greater y-intercept.

T F

37 Function 2 has a greater rate of change.

T F

38 Function 1 has a greater rate of change than the following situation below:

Martin’s Music Store offers rewards points when you sign up for a rewards card. For joining, you get a one-time reward of 10 points and for each CD purchased, you get 2 additional points.

T F

8th grade regular topic iv assessment: relations and …

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