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Worksheets

Interim Review

Total questions: 124

Worksheet time: 7hrs 18mins

Name
Class
Date
1.
 Find the GCF of each set of numbers. 
12, 30 
a)
4
b)
2
c)
5
d)
6
2.
 Find the GCF of each set of numbers. 
12, 30 
a)
4
b)
2
c)
5
d)
6
3.
 Find the GCF of each set of numbers. 
50, 40
a)
5
b)
2
c)
10
d)
8
4.
 Find the GCF of each set of numbers. 
28, 42, 56
a)
14
b)
4
c)
7
d)
8
5.
 Find the GCF of each set of numbers. 
14, 56, 63
a)
9
b)
4
c)
7
d)
8
6.
A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
 What is the greatest number of toys that can be put in a bin?
               Toys to Place in Bins
      Toy                              Number of Toys
Anemones                            12
Limpets                                 14
Snails                                    18
a)
1 of each toy 
b)
2 of each toy 
c)
3 of each toy 
d)
4 of each toy 
7.
A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
5. What is the greatest number of toys that can be put in a bin?
              Toys to Place in Bins
    Toy                              Number of Toys
Anemones                            12
Limpets                                 14
Snails                                    18
a)
5 bins for anemones, 7 bins for limpets, and 9 bins for Snails
b)
5 bins for anemones, 6 bins for limpets, and 8 bins for Snails
c)
6 bins for anemones, 7 bins for limpets, and 9 bins for Snails
d)
7 bins for anemones, 8 bins for limpets, and 10 bins for Snails
8.
Find the LCM of each set of numbers. 
 3, 5 
a)
15
b)
20
c)
30
d)
33
9.
Find the LCM of each set of numbers.
8, 12 
a)
48
b)
24
c)
76
d)
96
10.
Find the LCM of each set of numbers. 
 4, 5, 6 
a)
20
b)
36
c)
45
d)
60
11.
Find the LCM of each set of numbers. 
5, 10, 15 
a)
50
b)
30
c)
90
d)
150
12.
Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again? 
a)
80 days
b)
40 days
c)
50 days
d)
60 days
13.

10 more than x

(a)  

14.

x plus 25

(a)  

15.

50 increased by x

(a)  

16.

The total of 17 and a number

(a)  

17.

The product of 12 and n

(a)  

18.

8 times x

(a)  

19.

Three times a number, increased by 12

USE x AS YOUR VARIABLE

(a)  

20.

Twice a number, decreased by four

USE x AS YOUR VARIABLE

(a)  

21.

Write an expression for the following situation:

Cooper earns $25 a day working after school at the supermarket. How much money will he earn in d days?

(a)  

22.

Write an expression for the following situation:

It costs $5 to get into the county fair. It costs $2 for one ride ticket. How much will you spend to go to the fair and purchase t tickets?

(a)  

23.

Write an expression for the following situation:

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your siblings. How much will each of you receive if there are c children?

(a)  

24.

Write an expression for the following situation:

A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

(a)  

25.

Write a phrase that represents the expression:

n + 12

4 lines
26.

Write a phrase that represents the expression:

n/12

4 lines
27.

Write a phrase that represents the expression:

3n - 4

4 lines
28.

Write a phrase that represents the expression:

(8+n)/2

4 lines
29.

10 decreased by n

(a)  

30.

Twice a number

USE x AS YOUR VARIABLE

(a)  

31.

The quotient of 60 and x

(a)  

32.

The sum of 25 and a number

USE x AS YOUR VARIABLE

(a)  

33.

What did you get when you solved this? 

a)

22

b)

19

c)

I got a different answer

34.

Which is the correct order of operations?

a)

PEMDAS

b)

DASMPE

c)

PEMASD

d)

SAPMED

35.

Which should you look for FIRST when using the order of operations. 

a)

Parenthesis 

b)

Multiplication 

c)

Division 

d)

Addition 

36.

Which operation is performed FIRST? (13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

37.

Which operation is performed FIRST: 38 + (9 x 6) ÷ 3

a)

addition +

b)

division ÷

c)

multiplication X

38.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

39.

What are the steps to solve the following expression? 50 − 16 ÷ 2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

40.

Do you multiply or divide first? 

a)

Multiply

b)

Divide

c)

Go from left to right. Whichever comes first! 

41.

Do you add or subtract first?

a)

ADD

b)

SUBTRACT

c)

it depends on which comes first moving left to right.

42.

Use the distributive property


4(x-2)

4 lines
43.

What is the simplified version of this expression? 5(a+6)5(a+6)  

a)

5a+65a+6  

b)

a+30a+30  

c)

5a+305a+30  

d)

5a−305a-30  

44.

What is the simplified version of this expression? 7(5x−1)7\left(5x-1\right)  

a)

35x+735x+7  

b)

35x−135x-1  

c)

35x−735x-7  

d)

−35x−7-35x-7  

45.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
46.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
47.

What is the inverse operation of Multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

48.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

49.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

50.

What is the inverse operation of Division?

a)

addition

b)

subtraction

c)

multiplication

d)

division

51.

Find the value of a: 12 = 4a

a)

48

b)

3

c)

8

52.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
53.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
54.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
55.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
56.

Find the value of a: 12 = a412\ =\ \frac{a}{4}  

a)

48

b)

3

c)

8

57.

c - 5 = 8

a)

3

b)

13

c)

5

d)

8

58.

21 = 14 + x21\ =\ 14\ +\ x  

a)

x = 7

b)

x = 35

c)

x = 294

d)

x = 1.5

59.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

60.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

61.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
62.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
63.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
64.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
65.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
66.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
67.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
68.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
69.

Simplify the Expression:


3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

70.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
71.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
72.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
73.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

74.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

75.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

76.
3b + b - 2b 
a)
3b
b)
b
c)
2b
77.
What is the value of x + y if x = 3 and y = 5?
a)
8
b)
5
c)
3
d)
2
78.
h ÷ 0.07 = ?
h = 4.9
a)
7
b)
.7
c)
70
d)
700
79.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
80.
4y – 5
y = 6
a)
12
b)
13
c)
19
d)
34
81.
r(r – 9)
r = 11
a)
12
b)
22
c)
44
d)
99
82.
5(v + 1)
v = 4
a)
26
b)
12
c)
11
d)
25
83.
3u + 12
u = 7
a)
33
b)
34
c)
35
d)
23
84.
2q + 3
q = 5 
a)
11
b)
15
c)
17
d)
13
85.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
86.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
87.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
88.
Evaluate 4y  if       y = 3
a)
7
b)
12
89.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
90.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
91.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
92.

If x = 3 solve x + 4 =

a)

5

b)

6

c)

7

d)

8

93.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
94.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

95.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
96.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
97.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
98.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

99.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
100.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
101.
What inequality does the number line graph represent?
a)
4 < x
b)
x > 4
c)
x < 4
d)
x ≤ 4
102.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
103.
Which graph matches the inequality 
x ≥ 2.5?
a)
A
b)
B
c)
C
d)
D
104.
What inequality does the number line graph represent
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
-4 < x
105.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
106.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
107.
a)
A
b)
B
c)
C
d)
D
108.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
109.
Solve the inequality.
a)
a > 4
b)
a > 2
c)
a > 6
d)
a < 6
110.
Solve the inequality.
a)
k ≤ –11
b)
k ≤ –5
c)
k ≤ 8
d)
k ≤ –3
111.
Write an inequality for this situation:
We need to make at least $10,000
a)
x < 10000
b)
x > 10000
c)
x ≤ 10000
d)
x ≥ 10000
112.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
113.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
114.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
115.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
116.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
117.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
118.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
119.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
120.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
121.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
122.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
123.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
124.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D