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Part, whole and percent, algebra, pemdas

Total questions: 45

Worksheet time: 11hrs 3mins

Name
Class
Date
1.
56 is 35% of what number?
a)
70
b)
160
c)
62.5
d)
16
2.
Sally got 22 questions wrong on her quiz that had 40 questions on it. What is the percentage of the questions she got wrong?
a)
45%
b)
55%
c)
32%
d)
95%
3.
Greg took a test.  Out of 12 questions, he answered only nine correctly.  What percent of the questions did he score correctly?
a)
75%
b)
50%
c)
80%
d)
85%
4.
What is 14% of 80?
a)
14
b)
11.2
c)
24
d)
34
5.
What is 37% of 600?
a)
222
b)
370
c)
60
d)
110
6.
What is 9% of 200?
a)
100
b)
18
c)
20
7.
What percent of 200 is 28?
a)
20%
b)
30%
c)
14%
d)
28%
8.
In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?
a)
3%
b)
30%
c)
10%
d)
70%
9.
What is 30% of 80?
a)
30
b)
24
c)
2.4
d)
56
10.
29 out of 50 is what percent ?
a)
58%
b)
75%
c)
68%
d)
96%
11.
Express 2/5 as a decimal.
a)
0.2
b)
0.4
c)
0.5
d)
0.7
12.
Write 0.6 as a percent.
a)
6%
b)
60%
c)
0.6%
d)
600%
13.
Write 7% as a decimal
a)
7.0
b)
0.7
c)
0.007
d)
0.07
14.
What is 20% of 75?
a)
15
b)
60
c)
6
d)
1.5
15.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
16.
In the school election James ran against Ben for secretary.  James received 75% of the votes.  If 240 students voted, how many votes did James receive?
a)
175
b)
160
c)
153
d)
180
17.
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
a)
33.60
b)
40.00
c)
24.60
d)
30.50
18.
Write 35% as a fraction IN SIMPLEST FORM.
a)
35/100
b)
7/20
c)
3/5
d)
5/3
19.
What is 0.64 as a fraction in simplest form? 
a)
64/100
b)
16/25
c)
6/4
d)
4/6
20.
What percent is shaded?
a)
3%
b)
37.5%
c)
30%
d)
62.5%
21.
Evaluate if x = -3 and y = 1/2
x2 + 1
a)
10
b)
8
c)
7
d)
5
22.
Evaluate if a = −2 and b = 1/3
                   a − 6b
a)
−4
b)
0
c)
4
d)
−4/3
23.
Use distributive property to simplify the expression:
4(a + 7)
a)
4a + 28
b)
4a + 7
c)
a4 + 74
d)
4 × 7a
24.
Simplify:
3∙t∙5
a)
15t
b)
8t
c)
3×5×t
d)
35t
25.
Simplify:
2a + 3 − b + 4a − 7b
a)
6a − 8b + 3
b)
8a + 8b + 3
c)
2a − 3b 
d)
6a − 10b
26.
m + n + m − n
a)
2m
b)
2m + 2n
c)
2m − 2n
d)
0
27.
Omar and Nicolas are planning a summer trip to Europe.  In total they saved $2,019.  Omar saved $x and Nicolas saved twice as Omar.  How much did each save?
a)
$673 and $1346
b)
$500 and $1,000
c)
$667 and $1334
d)
$734 and $1468
28.
Ms Plata will buy 2 boxes that include, 70 pencils at a cost of $p, and 35 glue sticks at a cost of $g.  What expression represents her total cost?
a)
70p + 35g
b)
140p + 70g
c)
2p + 70 + 3g + 35
d)
2(p + g) 
29.
All of these are prime except
a)
3
b)
9
c)
2
d)
13
30.
Using a Factor Tree, find the prime factorization of 54.
a)
32 x 6
b)
3x 2
c)
23 x 3
d)
9 x 6
31.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
32.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
33.
Evaluate:
36 ÷ 32 + 5 ⋅ 6
a)
35
b)
60
c)
34
d)
54
34.

In the following expression, identify the constant:


3x − y + 7z − 6y − 8

a)

8

b)

−8

c)

−y

d)

3x

35.

In the following expression, identify the coefficient of the second term:


3x − y + 7z − 6y − 8

a)

−1

b)

1

c)

3

d)

y

36.

In the following expression, identify the coefficient of the term with variable z:


3x − y + 7z − 6y − 8

a)

− 6

b)

7z

c)

7

d)

1

37.

How many terms form this expression?


3x − y + 7z − 6y − 8

a)

5

b)

3

c)

4

d)

6

38.

Simplify the expression:


2a∙6d(−c)⋅b

a)

−12abcd

b)

−8abcd

c)

12bdac

d)

8abcd

39.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
40.
3n + 4 = 7 
a)
1
b)
-1
c)
3.67
d)
2
41.
3f - 12 = -3
a)
3
b)
-3
c)
11
d)
12
42.
8 = 4v + 12
a)
-1
b)
1
c)
0
d)
-10
43.
2k + 12 = -4
a)
-8
b)
8
c)
-10
d)
4
44.

Write an algebraic expression of the following:


a number increased by seven

a)

x + 7

b)

7x

c)

x − 7

d)

7 ÷ x

45.

 x11+8=6\frac{x}{-11}+8=6  

a)

 x=22x=-22  

b)

 x=1x=1  

c)

 x=11x=11  

d)

 x=22x=22