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6th Grade - Unit 6/7 Review

Total questions: 95

Worksheet time: 23hrs 21mins

Name
Class
Date
1.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
2.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
3.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
4.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
5.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
6.

Use a number tree to find the prime factorization of 32

a)

2 x 2 x 2 x 4

b)

2 x 2 x 2 x 2 x 2

7.

Use a number tree to find the prime factorization of 60

a)

5 x 3 x 2 x 2

b)

7 x 6 x 5

8.

Use a number tree to find the prime factorization of 42

a)

4 x 4 x 3

b)

7 x 3 x 2

9.

Use a number tree to find the prime factorization of 64

a)

2 x 2 x 2 x 2 x 2 x 2

b)

4 x 4 x 2 x 2

10.

Use a number tree to find the prime factorization of 72

a)

2 x 2 x 2 x 3 x 3

b)

4 x 3 x 3 x 2

11.

Find the prime factorization of 18

a)

2 • 9

b)

22 • 3

c)

2 • 32

d)

3 • 6

12.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

13.

Find the prime factorization of 30

a)

22 • 5 • 7

b)

2 • 32

c)

2 • 3 • 7

d)

2 • 3 • 5

14.

Find the prime factorization of 81

a)

22 • 7

b)

23 • 5 • 7

c)

43

d)

34

15.

Find the prime factorization of 108

a)

23 * 32

b)

22 • 33

c)

25 • 3

d)

2 • 3 • 7 • 11

16.
9(11) - (4)(7)
a)
71
b)
665
c)
52
d)
237
17.
(7-4)2 + (20-19) - 10
a)
-3
b)
57
c)
0
d)
1
18.
3(92)
a)
243
b)
25
c)
126
d)
54
19.
62 - 3 * 8
a)
72
b)
264
c)
12
d)
138
20.
22 + 3 x 4 − 12
a)
16
b)
4
c)
8
d)
129
21.
Which step do I do last? 
24 - 3 ÷ (6 - 3 ) 
a)
24 -3 
b)
6 -3 
c)
24 - 1 
d)
3 ÷ 3
22.

Write the following numerical expression as a word phrase


10 - 2

a)

10 divided by 2

b)

the sum of 10 and 2

c)

the difference between 10 and 2

d)

the product of 10 and 2

23.

What is the numerical expression for the word phrase below?


11 minus 9

a)

11 x 9

b)

11 + 9

c)

11x

d)

11 - 9

24.

Evaluate the numerical expressions. Decide whether they are equivalent.


15 + 5


4 x 5

a)

The expressions are equivalent

b)

The expressions are not equivalent

25.

identify the factors in the following algebraic expression


3(a+2)

a)

3a, 2

b)

3, (a+2)

c)

3, 2a

d)

3

26.

Describe the expression using an appropriate term or phrase


(2a +3) x 2

a)

sum of two terms

b)

product of two terms

c)

difference of two terms

d)

quotient of two terms

27.
 A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. 
a)
Variable
b)
Algebraic Expression
c)
Constant
d)
Coefficient
28.
A letter or symbol used to represent a number or quantities that vary
a)
constant
b)
coefficient
c)
variable
d)
term
29.
A number, a variable, or a product of numbers and variables. 
a)
term
b)
variable
c)
sum
d)
coefficient
30.
A mathematical statement that says two things are equal.
a)
Algebraic Expression
b)
Algebraic Equation
c)
Constant
d)
Coefficient
31.
An algebraic equation is....
a)
A math statement that does not have an equal sign.
b)
A math statement with an equal sign. 
c)
A letter or symbol that represents a number.
d)
A number that can evenly go into another number without a remainder.
32.
An algebraic expression is .......
a)
A math statement with an equal sign.
b)
A math statement without an equal sign.
c)
A letter or symbol that represents a number.
d)
A number that goes evenly into another number without a remainder.
33.
An equation can be two expressions that equal one another.
a)
True
b)
False
34.
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 = 30.98
b)
30.98 + c = 40
c)
c - 40 = 30.98
d)
c - 30.98 = 40
35.
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 = 45
c)
2x +19 = 109
d)
19x + 2 = 71
36.
Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
37.
The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?
a)
250x + 2 = 1000
b)
1000 + 2x = 250
c)
250 - 2x = 1000
d)
2x + 250 = 1000
38.
The length of a rectangular field is 75 yards. This is 3 yards more than twice the width. How could I find the width of the field?
a)
2w + 3 = 75
b)
2/w + 3 = 75
c)
2w - 3 = 75
d)
3w = 75
39.
x is less than or equal to 24
a)
x > 24
b)
x < 24
c)
x ≤ 24
d)
x ≥ 24
40.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
41.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
42.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
43.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
44.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
45.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
46.
Which inequality is represented by this graph? hint: don't be tricked by the variable on the left
a)
 2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
47.

Which situation represents 36÷6?

a)

Driver has 36 flash cards. His mom makes him 6 more. How many total flash cards does he have?

b)

Kayden has 36 notebooks. He divides them into 6 groups. How many notebooks will be in each group?

c)

Zion has 36 Pokemon cards. He losses 6 cards at recess. How many cards does he have left?

d)

Alora has 36 packs of gum. Each pack has 6 pieces of gum in it. How many total pieces of gum does she have?

48.

Which situation represents 6X2?

a)

Olivia drew 6 pictures on Monday. She drew 2 more on Tuesday. How many more pictures did she draw on Monday than Tuesday?

b)

Zander has 6 comic book. His grandmother gave him 2 more comic books for Christmas. How many comic books does he have now?

c)

Kyra baked 2 pans of cookies. Each pan made 6 cookies. How many cookies did Kyra make?

d)

Kaden made 6 ornaments. He decided to split them evenly between his mom and dad. How many ornaments will they each get?

49.

What situation represents 72÷9?

a)

Kim wants save $72. She already save $9 from her birthday. How many more dollars does she need to reach her goal?

b)

Ron brought in 72 cans for the can food drive on Monday. He brought in 9 more on Tuesday. How many total cans did he bring in?

c)

Jon has a total of 72 action figures. He decides to splits them evenly into 9 boxes. How many action figures will be in each box?

d)

Rick has 72 packs of color pencils. In each pack, there are 9 pencils. How many total color pencils does he have?

50.

Which situation represents 144÷12?

a)

Olivia needs to draw 144 pictures. She has drawn 12 pictures so far. How many more pictures does she need to draw?

b)

Zander has 144 t-shirts. His mom helps him split them evenly between his 12 drawers. How many shirts will be in each drawer?

c)

Nico has 12 boxes of markers. There are 144 markers in each box. How many total markers does Nico have?

d)

Nazariyah has 144 crayons. She finds 12 more crayons in her bedroom. How many total crayons does she have now?

51.

Which of the following word problems match the equation 7 x 8?

a)

Joe has 7 boxes of crayons. He bought 8 more at the store. How many boxes of crayons does he have now?

b)

Tori baked 7 pans of cookies. Each pan has 8 cookies on it. How many cookies did Tori bake?

c)

Sarah made 7 pictures. She decided to split them between her 8 friends. How many pictures did each friend get?

d)

Don wrote 7 sentences in his journal. He decided to write 8 more sentences. How many sentences did he write?

52.
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?
53.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
54.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
55.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600
56.
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
57.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
58.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
59.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
60.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
61.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

62.

An angle measures 14°. What is the measure of the complementary angle?

a)

76°

b)

166°

c)

14°

d)

68°

63.

What is the measure of the missing angle?

a)

39

b)

129

c)

29

d)

119

64.

Find the value of x.

a)

103

b)

10

c)

3

d)

70

65.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
66.
3y = -15
a)
-5
b)
5
c)
-3
d)
3
67.
Solve the solution of the 76 = x + 39.
a)
x = 27
b)
x = 37
c)
x = 95
d)
x = 115
68.
During an NBA playoff game, Jordan scored 12 points more than Pippen. If Pippen had 33 points how many points did Jordan score?
a)
45 points
b)
33 points
c)
21 points
d)
12 points
69.
Solve the equation x – 17 = 36.
a)
x = 19
b)
x = 21
c)
x = 36
d)
x =53
70.
The area of Carl’s rectangular flower garden is 192 square feet. Its length is 16 feet. What is the width? (*Remember* A = lw)
a)
8 ft.
b)
12 ft.
c)
14 ft.
d)
16 ft.
71.
Solve the equation 7y = 91
a)
y = 13
b)
y = 17
c)
y = 73
d)
y = 84
72.
a)
x = 3
b)
x = 5
c)
x  = 20
d)
x = 75
73.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
74.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
75.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
76.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
77.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
78.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
79.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
80.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
81.
y ⁄ -8 > 2 
a)
y < -16
b)
y > -16
c)
y < -0.25
d)
y > -0.25
82.
k ⁄ -5 < -4
a)
k > 20
b)
k < 20 
c)
k > 0.8 
d)
k < 0.8
83.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
84.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
85.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
86.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
87.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
88.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
89.
Would you use a closed or open circle to graph
x < 3?
a)
Closed
b)
Open
90.
When x = 6 in the equation
3x = 18
3(6) = 18
18= 18
TRUE OR FALSE?
a)
TRUE
b)
FALSE
91.
Is x = 4 a solution for
18 + x = 26?
a)
True
b)
False
92.
Determine if x = 4 is a solution to the equation.
12 + 5x - 8 = 12x - 10
a)
True
b)
False
93.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
94.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
95.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥

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