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6/7 Fall Semester Review

Total questions: 115

Worksheet time: 4hrs 7mins

Name
Class
Date
1.
What is a possible integer that could be between -6 and 2 on a number line?
a)
4
b)
-8
c)
3
d)
-3
2.
What is the decimal equivalent of 4/25?
a)
16%
b)
0.16
c)
1.6
d)
0.08
3.
Which of these lists is ordered from greatest to least?
a)
-10, -1, 2, 6
b)
1.8, 1/2, 1/4
c)
0.6, 0.30, 70%
d)
6, -6, -8, 8
4.
Which of these rational numbers is farthest to the left of a number line?
a)
-8/3
b)
-3
c)
-2.3
d)
-10/7
5.
A fish is swimming 7 feet below the water's surface. A turtle is swimming 2 feet below the water's surface. What is the difference in feet where the fish and the turtle is?
a)
-9 feet
b)
14 feet
c)
5 feet
d)
9 feet
6.
Find the product.  Then, simplify.
a)
2/24
b)
3/24
c)
1/12
d)
3/16
7.
3.8 x 4
a)
1.52
b)
7.8
c)
7.08
d)
15.2
8.
Multiply.
a)
28/54
b)
-8/21
c)
-2  7/54
d)
-1
9.
-⅔ × -⅘
a)
2/3
b)
-6/8
c)
8/15
d)
-8/15
10.
-1.2 x -3.4
a)
-4.08
b)
-4.8
c)
40.8
d)
4.08
11.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
12.
A rational number can be written as a fraction.
a)
True
b)
False
13.
-10 is a whole number
a)
True
b)
False
14.
6 is a rational number
a)
True
b)
False
15.
-3.5 is an integer
a)
True
b)
False
16.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
17.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
18.
What is 34 % as a decimal?
a)
0.34
b)
0.034
c)
3.4
d)
3.0034
19.
What is 67% as a fraction?
a)
67/100
b)
6/100
c)
100/67
d)
7/100
20.
Name the decimal equivalent to 1/4?
a)
0.10
b)
0.40
c)
0.2
d)
0.25
21.
Change this decimal to a percent.
0.528
a)
528%
b)
52.8%
c)
5.28%
d)
52%
22.
2/5 as a percentage
a)
25%
b)
20%
c)
40%
d)
0.4
23.
5/8 as a decimal
a)
0.58
b)
0.625
c)
0.875
d)
0.375
24.
1/20 as a percent
a)
20%
b)
5%
c)
12%
d)
4%
25.
Write 0.32% as a decimal.
a)
0.32
b)
0.032
c)
0.0032
d)
0.00032
26.
Write 1.5 as a percent.
a)
15%
b)
150%
c)
1.5%
d)
1500%
27.
 18 - (-4)
a)
-22
b)
4
c)
22
d)
-4
28.
-10+4
a)
-14
b)
14
c)
-6
d)
6
29.
-20+(-11)
a)
31
b)
9
c)
-9
d)
-31
30.
-27 / -27
a)
0
b)
-0
c)
1
d)
-1
31.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
32.
-4 + 9
a)
5
b)
-5
c)
13
d)
-13
33.
9 - (-10)
a)
-1
b)
-19
c)
1
d)
19
34.
If Mrs. Burks spent $3.87 on grapes at Kroger and bought 3.05 pounds, how much was each pound?
(Hint: since we are talking about money, you need to round!)
a)
1.25
b)
$2.80
c)
$1.27
d)
$1.30
35.
A piece of wood is 33.6 feet long. If I want to cut it into 4.2 feet sections, how many sections will I have? 
a)
5 sections
b)
2 sections 
c)
8 sections 
d)
 6.5 sections 
36.
Michael paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Michael buy?
a)
2.75 pounds
b)
3.23 pounds
c)
2.8 pounds
d)
3.5 pounds
37.
If gas costs $2.35 a gallon, and it takes 16.3 gallons to fill Mr. Kaiser's tank, how much will it take to fill the tank?
a)
$38.36
b)
$38.31
c)
$16.91
d)
$33.95
38.
Twenty pencils are removed from a box of 100 pencils.  What fraction of the pencils remain in the box?
a)
8/10
b)
4/5
c)
1/5
d)
20/100
39.
You are traveling at an average speed of 52 miles per hour.  How far can you travel in 6 1/2 hours?
a)
324 miles
b)
33.80 miles
c)
52 miles
d)
338 miles
40.

Alisha kept track of the growth of a plant. At the beginning of one week, her plant was 1 7/8 inches tall. The next week, the plant was 2 3/4 inches tall. How many inches did Alisha’s plant grow over the week?

a)

1/2

b)

7/8

c)

1 1/2

d)

4 5/8

41.
Simone gathered 3 1/3 pints of strawberries on Monday. She gathered 1/2 of that amount on Tuesday. How much did Simone gather on Tuesday?
a)
6 2/3
b)
3 1/6
c)
2 5/6
d)
1 2/3
42.
Cindy’s family and Josh’s family each ordered a pizza. The two pizzas were the same size. Cindy’s family ate 3/4 of their pizza and Josh’s family ate 3/8 of their pizza.How much pizza did both families eat all together?
a)
6/16
b)
6/12
c)
6/8
d)
9/8
43.
What is -3/8 + -1/4
a)
-5/8
b)
1/2
c)
5/8
d)
-1/2
44.
What is 7 1/2 - 5 1/3
a)
3  1/3
b)
2  1/3
c)
-3  1/3
d)
2  1/6
45.
What is 5/16 x 4 
a)
5/4
b)
4/5
c)
6/7
d)
8 1/2
46.
What is -5/6 x 6/15 
a)
-1/3
b)
-2/3
c)
-1  2/3
d)
-2  1/3
47.
-4½ × -1⅚
a)
-4  5/12
b)
-8¼
c)
4  5/12
d)
48.
What property is this? 
5 + (8 + 14) = (5 + 8) + 14
a)
Associative Property of Multiplication
b)
Distributive Property
c)
Identity Property
d)
Associative Property of Addition
49.
12 + 7 = 7 + 12 
What property is this? 
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Distributive Property
d)
Identity Property of Addition
50.
Which shows the Identity Property of Multiplication?
a)
13 + 0 = 13
b)
4 x 1 = 4
51.
5 x (7 + 9) = (5 x 7) + (5 x 9)
a)
Distributive Property
b)
Associative Property
c)
Commutative Property
d)
Multiplying Property
52.
98 + 0 = 98
The sum of any number and zero is itself.
a)
Identity Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Addition
d)
Identity Property of Addition
53.
Which property is represented?
7(t + u) = 7t + 7u
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
54.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
55.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
56.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
57.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
58.
What letter is located at (8, 5)?
a)
A
b)
B
c)
C
d)
D
59.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
60.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
61.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
62.
Name the quadrant where POINT B is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
63.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
64.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
65.
24x(4-2)÷6
a)
8
b)
2
c)
6
d)
5
66.
40+(72÷9)÷8
a)
49
b)
25
c)
41
d)
15
67.
23+(30÷10)x4
a)
35
b)
32
c)
12
d)
45
68.
Solve:
25 - (12 - 4) / 0.4
a)
3
b)
5
c)
22.5
d)
42.5
69.
90 - 52 x 3
a)
15
b)
240
c)
195
70.
What would you solve first?
3 x 48 / (15 - 3)
a)
3 x 48
b)
48 / 15
c)
15 - 3 
d)
48-12
71.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
72.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
73.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
74.
Which operation would you do first?
10 - ( 9 + 3 ) ÷ 2
a)
Subtraction
b)
Addition
c)
Division
d)
Multiplication
75.
8 + 3(5 + 2) - 7 ∙ 2
a)
3
b)
15
c)
44
76.
Which is the prime factorization of 12? 
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2 
c)
2 x 2 x 3
d)
1 x 2 x 2 x 3
77.
What is the prime factorization of 16? 
a)
1 x 16
b)
2 x 2 x 4
c)
2 x 2 x 2 x 2
d)
8 + 8
78.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
79.
Use a number tree to find the prime factorization of 111
a)
33x3
b)
11x3x3
c)
37x3
d)
9x4x3x1
80.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
81.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
82.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
83.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
84.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
85.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
86.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
87.
Which inequality is represented by this graph?
a)
 2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
88.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
89.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
90.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
91.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
92.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
93.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
94.
6.    -3x + 5 = -13
a)
x = -5
b)
x = 2
c)
x = -6
d)
x = 6
95.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
96.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
97.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

98.
7 + a= 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
99.
3 + (14)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
100.
50 = 28.1 + 0.15a
a)
a= 150
b)
a= 146
c)
a= 6
d)
a= 155
101.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
102.
In the equation 4y +-9 =-36
y = -4
a)
True
b)
False
103.
Solve for k. 

7k 
– 
2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
104.
Solve for k.
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
105.
Solve for u. 
u/7 – 1 ≤ 1
a)
14≥u
b)
14≤u
c)
u≤14
d)
u ≤ -14
106.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
107.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
108.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
109.
Which situation can be represented by the equation
40x
+ 20 = 200?
a)
Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
b)
Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
c)
Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
d)
Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?  
110.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
111.
The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
112.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
113.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
114.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.
a)
40 + c = 39.98
b)
30.98 + c = 40
c)
c - 40 = 39.98
d)
c - 39.98 = 40
115.
Mei was going to sell all of her stamp collection to buy a video game.  After selling half of them she changed her mind.  She then bought nineteen more.  How many did she start with if she now has 45?
a)
2/x + 19 = 90
b)
x/2 + 19 = 52
c)
2x +19 = 109
d)
19x + 2 = 71