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Name : ______________________________________ Date: __________________
1
Grade 8 Cumulative Review Chapters 1-6
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Write a verbal expression for the algebraic expression.
____ 1.
a. x cubed times y to the fifth power
b. x squared times y to the fifth power
c. the quotient of x cubed and y to the fifth
d. the sum of x squared and y to the fifth
____ 2. Evaluate the following expression if a = 12, b = 5, and c = 4.
3c + bc – 2a
a. 67 c. 8
b. 132 d. 84
Simplify the expression. If not possible, write simplified.
____ 3.
a. simplified c. b. d.
Name : ______________________________________ Date: __________________
2
____ 4. Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps.
a.
c.
b.
d.
Time
Altitu
de
Time
Altitu
de
Time
Altitu
de
Time
Altitu
de
Name : ______________________________________ Date: __________________
3
____ 5. During a snowy day, it snowed lightly for a while, stopped for a while, snowed heavily, and then stopped.
Which graph represents the situation?
a.
c.
b.
d.
A soft drink bottle filling machine can fill 22 bottles per minute. The table shows the relationship between the
number of minutes and the number of bottles filled.
Time (minutes) 1 2 3 4 5
Bottles filled 22 44 66 88 110
Time
To
tal sn
ow
fall
Time
To
tal sn
ow
fall
Time
To
tal sn
ow
fall
Time
To
tal sn
ow
fall
Name : ______________________________________ Date: __________________
4
____ 6. Draw a graph of the data in the soft drink bottle table.
a.
c.
b.
d.
____ 7. The graph shows the results of a survey of high school students about their favorite sports. If the graph is
misleading, describe why it is misleading.
Favorite Sports
Sport
a. The vertical axis needs to begin at zero.
b. The vertical and horizontal axes should be switched.
c. The graph is not misleading.
d. The bars are too far apart.
____ 8. The graph shows the results of a survey of high school students about their school lunch. If the graph is
misleading, describe why it is misleading.
Time (minutes)
Bottle
s fi
lled
1 2 3 4 5 6
22
44
66
88
110
132
154
176
Time (minutes)
Bottle
s fi
lled
1 2 3 4 5 6
22
44
66
88
110
132
154
176
Time (minutes)
Bottle
s fi
lled
1 2 3 4 5 6
22
44
66
88
110
132
154
176
Time (minutes)
Bottle
s fi
lled
1 2 3 4 5 6
22
44
66
88
110
132
154
176
10
20
30
40
50
60
Football
Basketball
Soccer
Baseball
Stu
den
ts
Name : ______________________________________ Date: __________________
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Favorite School Lunch
Lunch
a. The bars are too far apart.
b. The vertical and horizontal axes should be switched.
c. The graph is not misleading.
d. The vertical axis needs to begin at zero.
Graph the set of numbers.
____ 9.
a. c.
b. d.
____ 10. Find the absolute value.
a. 60 c.
b. – d.
Find the sum.
____ 11. 33 + (–50)
a. 83 c. –17
b. 17 d. –83
____ 12. Write the set of numbers in order from greatest to least.
, 3.9,
a. , , 3.9 c. 3.9, ,
b. , 3.9, d. , 3.9,
50
60
70
80
90
100
Hamburgers
ChickenPizza
Tacos
Stu
den
ts
0 1 2 3 4 50–1–2–3–4–5 0 1 2 3 4 50–1–2–3–4–5
0 1 2 3 4 50–1–2–3–4–5 0 1 2 3 4 50–1–2–3–4–5
1
2
1
2
1
22
41 3.9
3.9 41 3.9 41
41 3.9 3.9 41
Name : ______________________________________ Date: __________________
6
Translate the sentence into an equation.
____ 13. The number x divided by the number y is the same as six less than three times the difference of x and y.
a. c.
b. d.
Solve the equation. Then check your solution.
____ 14. a – =
a. c.
b. d.
____ 15.
a. 35 c. 140
b. 70 d. 116
____ 16.
a. 36 c.
b. d. –36
____ 17. Use cross products to determine which pair of ratios forms a proportion.
a. c.
b. d.
Solve the proportion. If necessary, round to the nearest hundredth.
____ 18. Pedro can make $55 in three days mowing lawns. At that rate, how many days will it take him to make $220?
a. 12 days c. 13.2 days
b. 4 days d. 10.9 days
Find the discounted price of the item.
____ 19. DVD: $19.95
discount: 20%
a. $3.99 c. $15.96
b. $23.94 d. $20.15
Find the final price of the item.
____ 20. tennis racket: $47.50
discount: 25%
tax: 5%
a. $35.62 c. $33.84
b. $37.40 d. $49.88
1
2
3
5
11
10
9
16
11
10
1
10
321
2
43
Name : ______________________________________ Date: __________________
7
Two airplanes leave Denver, one traveling east at 700 miles per hour and one traveling west at 750 miles per
hour. Let t represent the time since their departure.
____ 21. In how many hours will the airplanes be 3625 miles apart?
a. 72.5 hours c. 3 hours
b. 2.5 hours d. 1.25 hours
Solve the equation for the given domain. Graph the solution set.
____ 22. y = 2x – 1 for x = {–3, –1, 1, 2, 3}
a. {(–3, –7), (–1, –3), (1, 1), (5, 5), (3, 5)}
c. {(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}
b. {(–3, –6), (–1, –3), (1, 1), (2, 3), (3, 5)}
d. {(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}
1 2 3 4 5 6 7 8–1–2–3–4–5–6–7–8 x
1
2
3
4
5
6
7
8
–1
–2
–3
–4
–5
–6
–7
–8
y
1 2 3 4 5 6 7 8–1–2–3–4–5–6–7–8 x
1
2
3
4
5
6
7
8
–1
–2
–3
–4
–5
–6
–7
–8
y
1 2 3 4 5 6 7 8–1–2–3–4–5–6–7–8 x
1
2
3
4
5
6
7
8
–1
–2
–3
–4
–5
–6
–7
–8
y
1 2 3 4 5 6 7 8–1–2–3–4–5–6–7–8 x
1
2
3
4
5
6
7
8
–1
–2
–3
–4
–5
–6
–7
–8
y
Name : ______________________________________ Date: __________________
8
____ 23. Which relation is a function?
a. c.
b.
d.
Name : ______________________________________ Date: __________________
9
____ 24. Which relation is a function?
a.
c.
b.
d.
____ 25. Which relation is a function?
a. {(5, 3), (2, 8), (–5, –1), (4, 7), (2, 1)} c. {(–5, 3), (2, 8), (–5, –1), (4, 7), (2, 2)}
b. {(5, 3), (2, 8), (–5, –1), (4, 7), (5, 7)} d. {(5, 3), (2, 8), (–5, –1), (4, 7), (–2, 1)}
x
y
x
y
x
y
x
y
Name : ______________________________________ Date: __________________
10
____ 26. Which relation is a function?
a.
c.
b.
d.
Find the next three terms in the sequence.
____ 27. 12, 9, 13, 10, 14, 11, . . .
a. 16, 12, 17 c. 15, 12, 16
b. 15, 13, 16 d. 14, 12, 15
____ 28. x, x + 2, x + 4, x + 6, . . .
a. x + 7, x + 8, x + 9 c. x + 10, x + 12, x + 14
b. x + 7, x + 9, x + 11 d. x + 8, x + 10, x + 12
x
y
x
y
1 2 3 4 5–1–2–3–4–5 x
y
x
y
Name : ______________________________________ Date: __________________
11
Write a direct variation equation that relates the variables. Then graph the equation.
____ 29. Luis drives at a rate of 50 miles per hour. His total distance in t hours is d.
a.
c.
b.
d.
1 2 3 4 5 6 7 8 9 10 t
60
120
180
240
300
360
420
480
540
600
d
1 2 3 4 5 6 7 8 9 10 t
60
120
180
240
300
360
420
480
540
600
d
1 2 3 4 5 6 7 8 9 10 t
60
120
180
240
300
360
420
480
540
600
d
1 2 3 4 5 6 7 8 9 10 t
60
120
180
240
300
360
420
480
540
600
d
Name : ______________________________________ Date: __________________
12
Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8
sections each Saturday until he is finished.
____ 30. Graph the equation for the number of fence sections F standing after any number of Saturdays s.
a.
c.
b.
d.
Write an equation of the line that passes through the pair of points.
____ 31.
a. y = x + c. y = x –
b. y = x – d. y = x +
Saturdays
Fen
ce S
ectio
ns
1 2 3 4 5 6 7 8 9 10 s
10
20
30
40
50
60
70
80
90
100
110
F
Saturdays
Fen
ce S
ectio
ns
1 2 3 4 5 6 7 8 9 10 s
10
20
30
40
50
60
70
80
90
100
110
F
Saturdays
Fen
ce S
ectio
ns
1 2 3 4 5 6 7 8 9 10 s
10
20
30
40
50
60
70
80
90
100
110
F
Saturdays
Fen
ce S
ectio
ns
1 2 3 4 5 6 7 8 9 10 s
10
20
30
40
50
60
70
80
90
100
110
F
1
8
11
8
1
8
11
8
1
8
11
8
1
8
8
11
Name : ______________________________________ Date: __________________
13
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the
graph of the equation.
____ 32. (4, 4), 2x – y = 4
a. y = x + c. y = x +
b. y = x + d. y = x +
____ 33. Heather has had four algebra tests so far this year. Her scores are: 90%, 87%, 96%, and 82%. Which
inequality shows what she must get on her fifth test in order to have an average of 90% or higher?
a.
c.
b.
d.
Short Answer
Describe what is happening in the graph.
34. The graph represents the video game sales for the month of December.
2 2 1
26
1
26 4 2
Time
Sal
es
Name : ______________________________________ Date: __________________
14
35. The graph represents a baseball being pitched and then caught by the catcher.
36. Does the pair of ratios form a proportion? Use cross products to help you decide.
Determine whether the relation is a function.
37.
38. {(5, 9), (4, 8), (–7, 4), (0, 4), (2, 4), (3, 9), (–3, 8)}
Essay
Record your answers on a sheet of paper. Show your work.
39. Pedro’s grandmother gave him 3 international stamps for his birthday, along with membership in a stamp
collecting club from which he will receive 2 new stamps each month.
a. Make a table showing the number of stamps Pedro has in his collection each month for the first 6 months.
b. Plot the points in a coordinate plane. Is the relation a function? Is it linear? Explain.
c. Write an equation in function notation to represent the information.
d. Use the equation to find out how many stamps Pedro will have after two years
Time
Vel
oci
ty
Name : ______________________________________ Date: __________________
15
