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MIDTERM EXAMINATION_SCC

Total questions: 105

Worksheet time: 4hrs 43mins

Name
Class
Date
1.
Write the following in interval notation
 x < 8
a)
(8, ∞)
b)
(8, -∞)
c)
(-∞, 8)
d)
[-∞, 8]
2.
Write the following in interval notation
x ≥ 100
a)
(0, 100]  (Real quick)
b)
(∞, 100]
c)
[100, ∞)
d)
(∞, 100)
3.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
4.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

5.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
6.

Write the interval notation for the graph?

a)

[-3, 2)

b)

-3<x<2

c)

(-∞, -3] U (2, ∞)

d)

x > 2 or x < -3

7.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

8.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

9.

Write the following solution in interval notation:

z < 20

a)

[-∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

10.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

11.
Express the following in Interval Notation
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
12.
Express the following in Interval Notation
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
13.
Express the following in Interval Notation
 -9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
14.
Express the following in Interval Notation
-9 < x < -8.5
a)
[-9, -8.5]
b)
[-9, -8.5)
c)
(-9, -8.5]
d)
(-9, -8.5)
15.
Express the following interval in Set notation:
[3, 5]
a)
3 ≤ x ≤ 5
b)
3 < x ≤ 5
c)
3 ≤ x < 5
d)
3 < x < 5
16.
Express the following interval in Set notation:
(-7, 15]
a)
-7 ≤ x ≤ 15
b)
-7 < x ≤ 15
c)
-7 ≤ x < 15
d)
-7 < x < 15
17.
Express the following interval in Set notation:
[14.2, 19.6)
a)
14.2 ≤ x ≤ 19.6
b)
14.2 < x ≤ 19.6
c)
14.2 ≤ x < 19.6
d)
14.2 < x < 19.6
18.
Express the following interval in Set notation:
(-63, -62)
a)
-63 ≤ x ≤ -62
b)
-63 < x ≤ -62
c)
-63 ≤ x < -62
d)
-63 < x < -62
19.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
20.
Write the following in interval notation
-7 ≤ x < 8
a)
(-7, 8)
b)
[-7, 8)
c)
[-7, 8]
d)
(-7, 8]
21.
Write the following in interval notation
 x < 8
a)
(8, ∞)
b)
(8, -∞)
c)
(-∞, 8)
d)
[-∞, 8]
22.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

23.

When graphing an inequality solution, what type of circle do I draw for the symbol:

> or <

a)

open circle

b)

closed circle

24.

When graphing an inequality solution, what type of circle do I draw for the symbol:

or ≤ or ≥

a)

Closed Circle

b)

Open Cirlce

25.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

26.

Given:

x ≤ -10

Is -25 a solution?

a)

Yes, it is a solution.

b)

No, it is not a solution.

27.

Given:

x > 15

Is -25 a solution?

a)

Yes, it is a solution.

b)

No, it is not a solution.

28.
Solve the following inequality:
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
29.

Solve the inequality.

x + 5 ≤ 13

a)

[8, ∞)

b)

[18, ∞)

c)

(-∞, 8]

d)

(-∞, 18]

30.
Can you use the symbols [ or ]
with infinity?
a)
Yes
b)
No
31.
When graphing b< 6 would you use an open or closed circle?
a)
open
b)
closed
32.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
33.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
34.
Write the following in interval notation
x > 6 and x ≤ 10
a)
(-∞, 6) and (10, ∞)
b)
[6, 10)
c)
(-∞, 6] and [10, ∞)
d)
(6, 10]
35.

Which is the closest to " [ a, b) "

a)

All values between a and b, including both a and b

b)

All values between a and b, excluding both a and b

c)

All values between a and b, including a, but excluding b

d)

All values between a and b, including b, but excluding a

36.
Write the following in interval notation
 x < 8
a)
(8, ∞)
b)
(8, -∞)
c)
(-∞, 8)
d)
[-∞, 8]
37.

What is the percent formula?

a)

B/A = P/100

b)

P/A = B/100

c)

A/B = P/100

d)

A/100 = B/P

38.

Should the tip be calculated BEFORE or AFTER the sales tax is added on?

a)

BEFORE

b)

AFTER

39.

Justin eats at McDonalds. He orders and sits inside. His total was $7.39 for the food. If sales tax is 7.25%, how much was the tax only?

a)

53 cents

b)

7.93

c)

54 cents

d)

55 cents

40.

How much is a 20% tip on Jamin's food bill of $59.21?

a)

$5

b)

$10.67

c)

$1.18

d)

$11.84

41.

Brad drives through Taco Bell. He orders two chicken quesadillas and three orange sodas. What will he pay tax on?

a)

The whole amount

b)

Just the quesadillas

c)

Just the sodas

d)

There is no tax in the drive through

42.

Which counties have a 7.00% sales tax? There may be more than one answer.

a)

Union County

b)

Coshocton County

c)

Gallia County

d)

Fulton County

43.

Why does sales tax tend to be higher in the larger cities? There may be more than one correct.

a)

Big cities offer more services.

b)

There are more people.

c)

Sales tax isn't always higher in big cities.

d)

Big cities have public transportation.

44.

Terry wants to find out what 85% of 577 points is. Which value represents B in the percent formula?

a)

85

b)

100

c)

577

d)

Terry

45.

Regan buys items costing $34, $11, $13.12, and $68.54. All items are taxable. She is in Athens County at the time of her purchase. How much will the sales tax be in $?

a)

$8.86

b)

7.00%

c)

$126.66

d)

$8.87

46.

100% of $5000 is ____________

a)

$5000

b)

$500

c)

$50

d)

$10000

47.

50% of $350 is ________

a)

$1750.00

b)

$17.50

c)

$1.75

d)

$175.00

48.

200% of $15.80 is ______________

a)

$15.80

b)

$31.60

c)

$3.16

d)

$7.90

49.

What is 3/10 in decimal?

a)

3

b)

1

c)

0.3

d)

0.5

50.

Express 55% in decimal form.

a)

55

b)

0.55

c)

5.5

d)

0.5

51.

Cardo consumed 0.25 of his birthday cake. Convert the amount of cake Cardo consumed into a fraction in simplest form.

a)

1/3

b)

1/4

c)

1/5

d)

2/3

52.

Express 2/5 in decimal form.

a)

0.3

b)

0.4

c)

0.5

d)

0.6

53.

Change 2.5 in fractional form.

a)

2/5

b)

5/3

c)

5/2

d)

4/3

54.

What is the equivalent fraction 0.15?

a)

3/20

b)

7/20

c)

11/20

d)

13/20

55.

Express 3 1/4% in decimal.

a)

0.325

b)

0.0325

c)

0.3025

d)

0.3205

56.

Which of the following does not belong to the group?

a)

60%

b)

6/5

c)

3/5

d)

9/15

57.

What is 12/25 in percent?

a)

0.28

b)

0.36

c)

0.48

d)

0.58

58.

A mall offers 40% off of the original t-shirt prices. What fraction is taken off of the prices?

a)

1/5

b)

3/10

c)

2/5

d)

9/10

59.

What is 0.36 in fractional form?

a)

11/25

b)

9/25

c)

6/25

d)

3/25

60.

Express 3.5 in percent.

a)

3.5%

b)

35%

c)

305%

d)

350%

61.

Change 0.125 in fraction.

a)

1/4

b)

1/6

c)

1/8

d)

1/10

62.

If 0.6 is written in fraction in simplest form, what is the sum of its numerator and denominator?

a)

5

b)

8

c)

12

d)

15

63.

Write 4% in fraction.

a)

1/20

b)

1/50

c)

1/75

d)

1/25

64.

If a player misses 8 out of 20 fouls shots, what percent did he make?

a)

8%

b)

12%

c)

40%

d)

60%

65.

20 out of 100 points on a test were missed. What percent was earned?

a)

80%

b)

50%

c)

20%

d)

5%

66.

In a class of of 25 students, 13 are girls. What percent are girls?

a)

13%

b)

25%

c)

52%

d)

65%

67.

Express 0.78 in fraction.

a)

27/50

b)

39/50

c)

47/50

d)

61/50

68.

Convert 28% in fraction.

a)

1/25

b)

3/25

c)

7/25

d)

11/25

69.
What is a percent?
a)
Part of 100
b)
Number with a silly symbol
c)
Part of a cent
d)
rate of change
70.
The amount of money saved at a store.
Ex: $20 x 30% = $6
a)
Sales Tax
b)
Discount
c)
Discount %
d)
Rebate
71.
The amount of money that business add to the cost of an item in order to make a profit.
Ex: 40 x 120% = $48
a)
Discount
b)
Percent
c)
Mark-up
d)
Retail Price
72.
A percentage of the cost that is added and given to the local or state government.
Ex: tax/cost = %/100
a)
sales tax rate
b)
sales
c)
discount
d)
mark-up
73.
The new price for an item, after applying the discount. 
Ex: $50 - $6 = $44 shirt
a)
Discount %
b)
Sales Tax
c)
Retail Price
d)
Sale Price
74.
Money earned as incentive for borrowing money.
Ex: deposit money in a savings account and the bank will give you more money for using yours
a)
Interest
b)
Sales Tax
c)
Principal
d)
Ta
75.
The new price of an item in the store after the store adds to the price in order to make a profit.  It's how much you will pay for the item in a store.
Ex: $20 wholesale + 120% mark-up = $44 
a)
Retail Price
b)
Sale Price
c)
Interest Rate
d)
Discount
76.
Percentage of the cost added to the cost in order to give money to the government.
Ex: 20 x 5% = 1
20 + 1 = $20 cost
a)
Sale tax rate
b)
Discount
c)
Interest
d)
Percent
77.
The balance that your receive at the end of investing money in a simple interest account comes from what two sources?
a)
Principal + Balance
b)
Interest + Taxes
c)
Principal + Interest
d)
Years + Interest
78.
When calculating the percent of change, how do you set up the percent?
a)
original/new
b)
new/original
c)
original/change
d)
change/original
79.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

80.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

81.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

82.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

83.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

84.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

85.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

86.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

87.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

88.

How many senior boys play football but do not wrestle?

a)

26

b)

8

c)

104

d)

16

89.

How many senior boys play football or wrestle?

a)

26

b)

44

c)

28

d)

104

90.

How many students took the survey?

a)

47

b)

6

c)

53

d)

30

91.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

92.

How many students do not ski or ice skate?

a)

10

b)

16

c)

22

d)

28

93.

Identify each region of the Venn diagram that represents students who reads only the TOI and The Hindu.

a)

1

b)

2

c)

3

d)

4

94.

Which region(s) represent students that enjoy swimming and tennis?

a)

B

b)

D

c)

B and D

d)

A and C

95.

How many students like Soccer or Hockey or Golf?

a)

69

b)

36

c)

33

d)

2

96.
Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?
a)
Q = { S, T, R }
b)
Q = { I, E }
c)
Q = { S, I, S, T, E, R }
d)
Q = { S, I, T, E, R }
97.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
98.
Given  S = { m, 4, 7, 9 }  and 
T = { 4, 9, 3, n }. 
If set  S  and set  T  are equal sets,
the   value of  m + n =
a)
14
b)
12
c)
10
d)
8
99.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
100.
a)
Z ⊂ X
b)
Y ⊂ Z
c)
Z ∩ Y = Z
d)
Z ⊂ ( X ∩ Y )
101.
a)
P' ∪ R' ∪ Q
b)
( P ∪ R )' ∩ Q
c)
Q ∩ ( P ∩ R )'
d)
R' ∩ Q' ∩ P'
102.
a)
8
b)
7
c)
6
d)
3
103.
a)
{ 3, 7 }           
b)
{ } , { 3 } , { 7 }
c)
{ 3 } , { 7 } , { 3, 7 }
d)
{ } , { 3 } , { 7 } , { 3, 7 }
104.
a)
A
b)
B
c)
C
d)
D
105.
a)
42
b)
37
c)
32
d)
27

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