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Topic 4 Summative Review

Total questions: 163

Worksheet time: 41hrs 45mins

Name
Class
Date
1.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

2.

t−8= −5\frac{t}{-8}=\ -5  

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

3.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

4.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
5.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
6.
5 = f - 2
a)
4
b)
7
c)
-3
d)
2
7.
6 x = -30
x=
a)
2
b)
7
c)
-5
d)
5
8.

3 = c−11\frac{c}{-11}  

a)

33

b)

14

c)

-33

d)

-14

9.

Solve the equation:
−8x=−32-8x=-32  

a)

4

b)

40

c)

6

d)

5

10.

Solve for x.


x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

11.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
12.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
13.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
14.
Solve the equation:
2w=58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
15.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
16.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
17.

x + 8 = 15

a)

7

b)

8

c)

9

d)

6

18.

x + 13 = 25

a)

15

b)

12

c)

10

d)

11

19.

x - 10 = 20

a)

30

b)

10

c)

20

d)

15

20.

5n = 30

a)

8

b)

12

c)

6

d)

5

21.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
22.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
23.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
24.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

25.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
26.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
27.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

28.
a)
50
b)
-12.5
c)
-50
d)
12.5
29.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

30.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

31.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
32.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
33.
s - 22 = 50
a)
s = 28
b)
s = 20
c)
s = 72
d)
s = 75
34.
6x = 30
a)
x = 5
b)
x = 24
c)
x = 6
d)
x = 36
35.
t/8 = 5
a)
t = 3
b)
t = 13
c)
t = 44
d)
t = 40
36.
4r = 28
a)
r = 35
b)
r = 4 + 3
c)
r = 9
d)
r = 1/7 
37.
g - 15 = 30
a)
g = 3(5)
b)
g = 15(3) 
c)
g = 15
d)
g = 7(5)
38.
S + 18 = 24
a)
S = 42
b)
S = 32
c)
S = 18
d)
S = 4 + 2 
39.
9h = 81
a)
h = 32
b)
h = 18
c)
h = 90
d)
h = 72
40.
y/7 = 3 x 3
a)
y = 21
b)
y = 63
c)
y = 13
d)
y = 27
41.

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

42.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

43.

Darshany bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

44.

Select the equation that best represents the situation: 



Dr. Lahana takes 30 seconds to solve a Math problem. This is twice as much time as it takes Ms. Rosegreen to solve a Math problem.

a)

w ÷\div  2 = 30

b)

w + 2 = 30

c)

2w = 30

d)

w - 2 = 30

45.

Select the equation that best represents the situation:



 In a normal day, Skyah spends half as much time watching Nextflix as Jade does. If Skyah watches 120 minutes of Nextflix, how much does Jade watch?

a)

j ÷\div  2 = 120

b)

2j = 120

c)

2  −-   j = 120

d)

2  ÷\div  j = 120

46.

Select the equation that best represents the situation: 



After eating at the restaurant, Jude, Luke, and Michael decided to divide the bill evenly. If each person paid 27 dollars, what was the total of the bill ?

a)

b ÷\div 3 = 27

b)

3b = 27

c)

27 = b + b + b

d)

3 ÷\div b = 27

47.
If one roll of masking tape costs $1.15, how many rolls can Emma buy  with $5.75?
a)
1.15(5.75) = x
b)
5.75x = 1.15
c)
1.15x = 5.75
d)
x = 1.15/ 5.75
48.

Breanna went to the mall and spent $35.00 on shoes. When she got home she had $40.00 in her purse. which equation can be used to find the amount of money she started with?

a)

x - 35.00 = 40.00

b)

40.00 - 35.00 = x

c)

35.00x = 40.00

d)

40.00x = 35.00

49.

Select the equation that best represents the situation: Mrs. Lamb is baking a cake. The recipe calls for nine cups of flour. She already put in two cups. 

a)

r ÷\div  2 = 9

b)

r  −-  2 = 9

c)

r + 2 = 9

d)

2r = 9

50.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

a)

x +10 = 24

b)

x - 10 = 24

c)

10x = 24

d)

x + 24 = 10

51.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

a)

x +10 = 24

b)

x - 10 = 24

c)

10x = 24

d)

x + 24 = 10

52.

Carol’s class had 25 students on roll. After some new students join her class, the number of students increases to 36. Write an equation to determine the number of students who joined Carol's class.

a)

25 + x = 36

b)

x – 36 = 25

c)

36x = 25

d)

36 + x = –25

53.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

54.

Which choice models this situation?


Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

a)

t + 4 = 58

b)

t - 4 = 58

c)

4t = 58

d)

t/4 = 58

55.

Which choice models this situation?


Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

a)

p - 125 = 262

b)

p + 125 = 262

c)

125p = 262

d)

p/125 = 262

56.

Which choice models this situation?


Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

a)

p - 125 = 262

b)

p + 125 = 262

c)

125p = 262

d)

p/125 = 262

57.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

58.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

59.

Which choice models this situation?


At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

60.

Which choice models this situation?


At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

61.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

62.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

63.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

64.
Greater than
a)
<
b)
>
c)
≥
d)
≤
65.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
66.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
67.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
68.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
69.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
70.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
71.
The ticket to the movie costs $10.  How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.
a)
x > 10
b)
x ≥ 10
c)
x < 10
d)
x ≤ 10
72.
Karen has $25 to buy her best friend a gift.  How much can the gift cost?
Let x represent the cost of the gift.
a)
x > 25
b)
x ≥ 25
c)
x < 25
d)
x ≤ 25
73.
Tracy's car can fit up to 5 friends.  Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.
a)
x > 5
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
74.
s - 10 ≤ 1
a)
s ≤ 11
b)
s ≤ 9
c)
s ≥ 11
d)
s ≥ 9
75.
Which is the solution of 
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
76.
What inequality does the number line graph represent?
a)
2x +1 < -3
b)
x + 2 < 4
c)
-x + 3 > 1
d)
x + 4 >= 2
77.
Would your graph go to the left or right when you graph x ≥ 4?
a)
Left
b)
Right
78.
What is the solution to 3x - 7 < 2?
a)
x < 3
b)
x < 4
c)
x < 2
d)
x < 5
79.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

80.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
81.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
82.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
83.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
84.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
85.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
86.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
87.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
88.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
89.
Which graph matches the inequality 
x ≥ 2.5?
a)
A
b)
B
c)
C
d)
D
90.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
91.
Greater than
a)
<
b)
>
c)
≥
d)
≤
92.
Greater than or equal to:
a)
<
b)
≤
c)
≥
d)
>
93.
Greater than
a)
<
b)
>
c)
≥
d)
≤
94.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
95.
The ticket to the movie costs $10.  How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.
a)
x > 10
b)
x ≥ 10
c)
x < 10
d)
x ≤ 10
96.
Karen has $25 to buy her best friend a gift.  How much can the gift cost?
Let x represent the cost of the gift.
a)
x > 25
b)
x ≥ 25
c)
x < 25
d)
x ≤ 25
97.
Tracy's car can fit up to 5 friends.  Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.
a)
x > 5
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
98.
What algebraic equation shows the relationship between the independent and dependent variables?
a)
y = ax
b)
y = x + 12
c)
y = -3x
d)
y = 
99.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
100.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
101.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
102.
y = x - 6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
103.
Choose the best explaination
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
104.
What is the rate of change (unit rate) for the following graph?
a)
80
b)
20
c)
40
d)
160
105.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
106.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
c)
both
d)
neither
107.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
c)
both
d)
neither
108.
What is the constant of Proportionality for this table?
a)
1/9
b)
9
c)
8
109.
A line is linear if it forms a straight line.  The graph has a straight line.  Which best describes this graph?
a)
linear and nonproportional
b)
linear and proportional
c)
nonlinear and nonproportional
d)
nonlinear and proportional
110.
What is the function of the table?
a)
y=3x+1
b)
y=4x-2
c)
y=x+1
d)
y=x+7
111.
What is the equation of the line?
a)
y = 20x
b)
y = x + 20
c)
y = 2x
d)
y = x + 2
112.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c =  4b- 2.75
d)
c = 2.75b - 4
113.
You earn $18 for every hour you work. Which equation represents this function?
a)
y=(18/2)x + 0
b)
y = 18x
c)
y = 2x + 18
d)
y = 18x + 2
114.
Bob has $150 in his savings account and saves $40 per month.
a)
150 + 40
b)
40x + 150
c)
150x + 40
115.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
30 + 12.5x 
b)
12.5 + 30
c)
12.5 + 30x
116.
You are visiting Houston, Texas and a taxi cab company charges a flat rate of $4.00 for using the cab and $0.95 per mile.  Write an equation to determine the cost when x miles is driven.
a)
y = .75x
b)
y = .95x
c)
y = .95x + 4
d)
y=4.95x
117.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
118.

Which answer choice shows a multiplicative pattern?

a)
b)
c)
d)
119.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
120.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
121.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
122.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
123.

Where is the point (0,3) located?

a)

Quadrant I

b)

Quadrant II

c)

y axis

d)

x axis

124.

Where is the point (-5,0) located?

a)

Quadrant II

b)

Quadrant III

c)

y axis

d)

x axis

125.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

126.

What is the algebraic equation for this table?

a)

y = 480x

b)

x = y/480

c)

x + 480 = y

d)

480 - x = y

127.

What equation represents the relationship between the variables in the table?

a)

d=10t

b)

d=t-9

c)

d=10-t

d)

d=t+10

128.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

129.
Name the DEPENDENT variable from the table below.
a)
minutes
b)
bubbles
130.
What is coordinate X?
a)
(5,2)
b)
(2,3)
c)
(4,4)
d)
(6,6)
131.
Greg gets paid $6 an hour working in a garden. Use the equation m=6h, where m is the money he makes, and h is the hours he works. How much money does he make if he works 9 hours?
a)
$15
b)
$3
c)
$54
d)
$53
132.

Samantha needs to raise money (r) for her girl scout troop by selling girl scout cookies (c). Which best describes the variables r and c?

a)

The variable, r, is the independent variable because it depends on the amount of cookies, c, she sells.

b)

The variable, c, is the independent variable because it depends on the amount of money raised, r.

c)

The variable r is the independent variable because it affects the amount of cookies, c, she sells.

d)

The variable, c, is the independent variable because it affects the amount of money raised, r.

133.

The ____-axis represents the independent quantity.

a)

x

b)

y

134.

The ____-axis represents the dependent quantity.

a)

x

b)

y

135.

Which equation represents the relationship of the values in the table?

a)

y = x + 6

b)

y = 6 - x

c)

y = x + 3

d)

y = 3x

136.

What value will complete the table to represent an additive relationship?

a)

17

b)

15

c)

16

d)

18

137.

Which expression best represents the relationship between cars and minutes?

a)

x + 4

b)

2x

c)

x + 5

d)

x - 5

138.

From this table, what is the dependent label?

a)

Number of Hours, h

b)

Amount Earned, e

139.
a)
the equation is
2y = x
b)
the equation is
2x = y
c)
the equation is
x=y
d)
the equation is 1+x = y
140.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
141.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
142.

Flashback Friday: Unit Rates-

Emma earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

$7 per hour

b)

$6 per hour

c)

$6.80 per hour

d)

$17.40 per hour

143.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
144.
Solve the proportion.
a)
1
b)
3
c)
6
d)
5
145.

Flashback Friday: Ratio and Rate Tables: *Hint* -WON Chart

A 12-ounce bottle of shampoo lasts Carmelo 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 Weeks

b)

24-ounce bottle

c)

10.6 Weeks

d)

10.6-ounce bottle

146.

Flashback Friday: Ratio and Unit Rates-


In the computer lab, there are 1 PC for every 5 Mac computers. If the computer lab has a total of 24 computers, how many are Mac?

a)

20

b)

6

c)

5

d)

10

147.
If there are 24 peaches on the tree and 4 peaches on the ground, what is the ratio of peaches on the ground to total number of peaches?
a)
4/24
b)
4/28
c)
24/4
d)
28/4
148.

Write an equation from the graph (Hint: make a table first)

a)

x + 15 = y

b)

15y = x

c)

15x = y

149.

Write an equation that represents the relationship between the variables in the table.

a)

d=10t

b)

t=10d

c)

t=10-d

d)

d=t+10

150.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
151.
What is the missing value of the table based on patterns?
a)
25
b)
50
c)
75
d)
27
152.
What is the pattern in the table below?
a)
multiplying the number of shots by 3
b)
adding 3 to the number of shots
c)
adding 1 to the number of shots
d)
dividing the number of shots by 3
153.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
154.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
155.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
156.
Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.
a)

b = 12m

b)
b= m +12
c)
b = m ÷ 12
d)
none of these
157.

What equation matches the table?

a)

y=6x

b)

y=x+10

c)

y=x -10

d)

y=x ÷ 6

158.

Write the equation for the table...

a)

y=x-4

b)

y=x+8

c)

y=x-8

d)

y=x+4

159.

Write the equation for the table...

a)

y=x+9

b)

y=x-1

c)

y=x-9

d)

y=x+1

160.

Write the equation for the table...

a)

y=5x

b)

y=x ÷\div  4

c)

y=4x

d)

y=x ÷\div  5

161.

Write the equation for the table...

a)

x=y+13

b)

y=x+13

c)

y=x-13

d)

x=y-13

162.

Write the equation for the table...

a)

x=y-18

b)

y=x-18

c)

x=y+18

d)

y=x+18

163.

Write the equation for the table...

a)

x=y ÷\div 12 

b)

y=x ÷\div 12

c)

x=12y

d)

y=12x

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