Grade 8 Math Test Review

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Grade 8 Math Test Review. 1. What is the slope of the line shown in this graph? [ a]. [b]. [c]. [d]. 2. Which table of values below represents a linear relationship? [a].
Grade 8 Math Test Review

1. What is the slope of the line shown in this graph?

[a]

[b]

[c]

[d]

2. Which table of values below represents a linear relationship? [b] [a]

[c]

[d]

3. Which table of values below would result in a graph that is linear? [b] [a]

[c]

[d]

4. [a] 1 [c] 3

[b] 2 [d] 4

5. [a]

[b]

[c]

[d]

6. Which number below is the next number in this pattern? 2, 5, 10, 17, 26, 37, ..., [a] 49 [b] 50 [d] 65 [c] 55

7. [a]

[b]

[c]

[d]

8. According to this graph, who ran the fastest?

[a] Ken [c] Jim

[b] Bob [d] Ted

9. [a]

[b]

[c]

[d]

10.

11. Dee has just finished an 800 meter race. She ran the first 100 meters at a quick, constant speed. For the next 500 meters, Dee slowed down to a much slower constant speed. As the race was nearing an end, she ran her fastest time for the last 200 meters, again at a constant rate. Draw a graph that would represent this story. Do not forget to include all important information in your picture.

12.

16.

7. Which value for w makes this equation true? -4w – 8 = 44 [a]

[b]

[c]

[d]

10. Which expression below is the simplified version of 2x – 1 + 4x + 2 [a]

[b]

[c]

[d]

1. A group of 16 people decide to go bowling and want to find the best price. Bowlarama has an initial group price of $20.00 plus $1.00 per person. Fairlanes has an initial group price of $10.00 plus $2.00 per person. a) Construct a table of values for each bowling alley, and then make a graph with lines representing each table on the same grid. # People Bowlarama Cost ($) Fairlanes Cost ($)

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

B) Which bowling alley is the most economical choice for this group?

C) If a group of 7 people were choosing between the same 2 bowling alleys, which alley would be the most economical choice?

0

D) For what size of a group of people would both bowling alleys charge the same total group rate?

2. Addison is ordering beads. Each bag of beads costs $2.75 including tax. Shipping and handling for all orders is a flat fee of $5.50. a) Write an equation that relates the cost, C, to the number of bags, n.

b) Complete the table and graph the data. Should you connect the points? Why or why not?

n C

1

2

3

4

5

6

0

3. Determine the slope of each object. a) A roof with rise 4 m and run 5 m

b) An escalator with rise 2 m and run 3 m

c) A steeple with rise 1 m and run 1 m

4. Given the following information, either two points on the line or the line

itself, find the slope. Show all work. Slope = Rise = Run a. (1 , 2) and (7 , 9)

b. (-5 , 3) and (-1 , 0)

c)

d)

5. Graph the equation: x -3 -2 -1 0 1 2 3

y

y = ½x + 2

6. The graph shows the distance Mike cycled over time.

a) How far did Mike cycle? Explain how you know.

Mike's Bicycle Trip

d50 45 40 35 30 25 20 15 10 5 0

b) How long did the trip take? Explain how you know.

0 0

1

2

3

4

5

6

7t

Time (h)

c) Find the slope of the graph.

7. The graph shows the monthly cost of Internet service from two companies, By The Hour Internet and Unlimited Internet. Internet Cost

C 135 120 105 90 75 60 45 30 15 0

0

a) Which company would you choose if you planned to use 20 hours of Internet per month? Explain your answer.

By The Hour Unlimited

b) Would you change your mind if you planned to use 80 hours? Explain.

0 5 10 15 20 25 30 35 40 45 50 55 t Time (h)

c) What are the coordinates of the intersection point? What does each coordinate mean?