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PA Chapter 2 Review

Total questions: 141

Worksheet time: 7hrs 38mins

Name
Class
Date
1.

1. Select the correct option from the following.

a)

On a number line when we add a positive integer we move to the left

b)

On a number line when we add a positive integer we move to the right.

c)

On a number line when we add a negative integer we move to the right.

d)

On a number line when we subtract a positive integer we move to the right.

2.

2. Select the incorrect option from the following.

a)

when two positive integers are added we get a positive integer.

b)

when two negative integers are added we get a negative integer.

c)

when two negative integers are added we get a positive integer

d)

when a negative integer and positive integers are added we get a negative integer

3.

3. (-8) + (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

4.

4. (8) + (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

5.

5. (-8) + (4) = ?

a)

-4

b)

4

c)

-12

d)

12

6.

6. (-8) - (4) = ?

a)

-4

b)

4

c)

-12

d)

12

7.

7. (8) - (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

8.

8. (-8) - (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

9.

9. (8) - (4) = ?

a)

-4

b)

4

c)

-12

d)

12

10.

18. Which of the following statement is false?

a)

product of two positive integers is always positive.

b)

product of two negative integers is always negative.

c)

product of two negative integers is always positive

d)

product of three negative integers is negative.

11.
5 - (-9) =
a)
-4
b)
-9
c)
4
d)
14
12.
3 - (-3) =
a)
6
b)
-6
c)
0
d)
-4
13.
-3 + (-2)
a)
-5
b)
5
c)
1
d)
-1
14.
-18 + 12
a)
-6
b)
6
c)
20
d)
-30
15.

10 - 18

a)

28

b)

8

c)

12

d)

-8

16.

8 - 12- (-6) =

a)

2

b)

-2

c)

18

d)

-18

17.

8 + 0 - (-11) =

a)

2

b)

-2

c)

19

d)

-19

18.

#30) The water level is Mr. Jacob's pond was -4 feet. After a drought, the water level dropped by 13 feet. What is the water level after the drought?

a)

-17 ft

b)

17 ft

c)

9 ft

d)

-9 ft

19.

#32) Mount Everest is 29,028 feet above sea level. The bottom of the Mariana Trench is 36,070 feet below sea level. What is the difference between these two elevations?

a)

65,098 ft

b)

-65,098 ft

c)

7,042 ft

d)

-7,042 ft

20.

#34) Pete is on the 23rd floor of a hotel. His car is parked 6 floors underground in the parking garage. What is the difference between Pete and his car?

a)

29 floors

b)

-29 floors

c)

17 floors

d)

-17 floors

21.

Choose the integer operation problem(s) that this number line represents.

a)

-9 + (-7) = -2

b)

-9 + 2 = -7

c)

-9 + 7 = -2

d)

-9 - (-7) = -2

e)

None of these

22.

Choose the integer operation problem(s) that this number line represents.

a)

-3 - 5 = -8

b)

-3 + 5 = -8

c)

-3 + 8 = 5

d)

-3 + (-5) = -8

e)

None of these

23.
14 - (-7) =
a)
21
b)
-21
c)
-7
d)
7
24.
8 - (-9) =
a)
17
b)
-17
c)
-1
d)
1
25.
18 + (-13)
a)
5
b)
-5
c)
21
d)
-21
26.
-7 + (-8)
a)
-15
b)
15
c)
1
d)
-1
27.
1 + 2
a)
3
b)
-3
c)
1
d)
-1
28.
3 + (-9)
a)
-6
b)
6
c)
12
d)
-12
29.
-11 + 15
a)
4
b)
-4
c)
26
d)
-26
30.
-16 + 5
a)
-11
b)
11
c)
21
d)
-21
31.

-5 + 15

a)

-10

b)

10

c)

20

d)

-20

32.

10 - 18

a)

28

b)

8

c)

12

d)

-8

33.

-2 + (-3)

a)

-1

b)

1

c)

5

d)

-5

34.

-5 + 23

(a)  

35.

-14 - 11

(a)  

36.

What is the value of:

4(5)4\left(-5\right)  

a)

20-20  

b)

2020  

c)

1-1  

d)

11  

37.

3(8)=-3\left(8\right)=  

(a)  

38.

7(6)=-7\left(-6\right)=  

a)

4242  

b)

42-42  

c)

13-13  

d)

1313  

39.

The product of -5 and -6 is...

(a)  

40.

Write the value of the expression:

(1)(2)(3)(4)\left(-1\right)\left(2\right)\left(-3\right)\left(-4\right)  

(a)  

41.

What is the value of:

18÷(9)18\div\left(-9\right)  

a)

22  

b)

2-2  

c)

99  

d)

9-9  

42.

Simplify 12÷(4)-12\div\left(-4\right)  

(a)  

43.

Which of the following expressions is NOT equal to the others?

a)

105\frac{-10}{5}  

b)

105\frac{10}{-5}  

c)

105-\frac{10}{5}  

d)

105\frac{-10}{-5}  

44.

Simplify: 84\frac{-8}{-4}  

(a)  

45.

The altitude of an airplane dropped 100 feet every minute for 5 minutes. Which of the following could represent the total change in the airplane's altitude?

a)

500 ft.500\ ft.  

b)

500 ft-500\ ft  

c)

20 ft20\ ft  

d)

20 ft-20\ ft  

46.

Which expression is represented on the number line?

a)

0 - (-8)

b)

-2 \cdot  4

c)

-2 + (-8)

47.

Which equation is NOT true?

a)

-4 + (-3) = -7

b)

3 - (-2) = 5

c)

-12 ÷\div  (-3) = -4

48.

What is the value of the expression below?

4(-2) + (-10) + 3(-8)

(a)  

49.

The expression below is used to calculate the amount of money a grocery store customer should receive in change when paying $50.

50 - (14 + 12 + 2(5) + 2(2) +3)

What amount of change in dollars should the customer receive?

a)

$26

b)

$29

c)

$7

50.

Sara bough 5 shirts for $6 and spent $7 on lunch. The change can be represented by the expression below.

5(-6) + (-7)

What integer represents the change in dollars?

(a)  

51.

Which expression has a value of -22?

a)

8 -(-3) + 33 ÷\div  (-3)

b)

-3 +(-2) -(-8) -1

c)

-5 \cdot  2 - 12

52.

Ms. Applebottom wrote this expression on the board.

(-6)(2) + (-8 ÷\div  4)

What is the value of the expression?

(a)  

53.

What will your product be if you multiply the following signs?

(-)(+)

a)

POSITIVE (+)

b)

NEGATIVE (-)

54.

What will your quotient be if you divide the following signs?

(-)(-)

a)

POSITIVE (+)

b)

NEGATIVE (-)

55.

What will your product be if you multiply the following signs?

(-)(-)(-)(-)

a)

POSITIVE (+)

b)

NEGATIVE (-)

56.

10 ×10-10\ \times10  

a)

100

b)

-100

c)

20

d)

-20

57.

7 ÷7 ×(10)-7\ \div7\ \times\left(-10\right)  

a)

10

b)

1

c)

-10

d)

-1

58.

14 + 5(9×10)14\ +\ 5\left(-9\times10\right)  

a)

1890

b)

-1890

c)

-436

d)

-126

59.

10÷(10)10\div\left(-10\right)  

a)

1

b)

-1

60.

0 × (-2)

a)

0

b)

-2

c)

-0

d)

2

61.

(-9) × (-8)

a)

-72

b)

72

62.

(-7) × (-7)

a)

14

b)

-14

c)

49

d)

-49

63.

(-16) ÷ 4

a)

-4

b)

3

c)

4

d)

-12

64.

(-24) ÷ (-6)

a)

3

b)

4

c)

-3

d)

-4

65.

-21 + 14

a)

positive

b)

negative

66.
84 / -50
a)
positive
b)
negative
67.
92 + 85
a)
positive
b)
negative
68.
-55 / 104
a)
positive
b)
negative
69.
-88 - (-102)
a)
positive
b)
negative
70.
-55 / -77
a)
positive
b)
negative
71.
-94 + 85
a)
positive
b)
negative
72.
0 - 16
a)
16
b)
0
c)
-16
d)
5
73.
-10+4
a)
-14
b)
14
c)
-6
d)
6
74.

A submarine was 1800 ft below sea level.

a)

-1000

b)

-800

c)

-1800

d)

300

75.

Which is less and why? -5 or -6

a)

-6 because 6 is less than 5

b)

-6 because it is farther to the right on the number line

c)

-6 because it is farther to the left on the number line

76.

Negative integers are integers that are ________ than zero.

a)

less

b)

greater

77.

Positive integers are integers that are ____________ than zero.

a)

less

b)

greater

78.

Three degrees below zero.

a)

0

b)

-3

c)

3

d)

-.03

79.

Choose ALL the correct corresponding statements for: 7

a)

A gain of 7 yards

b)

A loss of 7 yards

c)

The elevator went up 7 floors.

d)

The temperature rose 7 degrees.

80.

Kelley dove 54 feet below sea level.

a)

-54

b)

54

81.

I withdrew 20 dollars from my bank account.

a)

20

b)

-20

82.

Which integer below can represent a deposit of $220?

a)

-220

b)

220

c)

-200

d)

200

83.

Evaluate:

I 5 I

a)
5
b)
-5
84.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
85.
Is absolute value always positive?
a)
yes
b)
no
86.
A number GREATER than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
87.
Evaluate each expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
88.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
89.
What is the integer represented by "A" on the number line?
a)
-2
b)
3
c)
4
d)
0
90.
What is the integer represented by "B" on the number line?
a)
-2
b)
0
c)
3
d)
4
91.
What is the absolute value of |-26|
a)
26
b)
-26
c)
-36
d)
36
92.

Absolute value

a)

the distance a number is from zero on a number line.

b)

A number that is less than zero

c)

Any integers greater than zero

d)

There is no going back

93.

4\left|-4\right|  is

a)

4

b)

-4

c)

40

d)

Why is the number in those funny lines?

94.

10+(3)=-10+\left(-3\right)=  

a)

-7

b)

-13

c)

13

d)

7

95.

9(5)=-9-\left(-5\right)=  

(a)  

96.

Solve.

(2  5)3 ÷9  (5)\left(2\ -\ 5\right)^{3\ }\div9\ -\ \left(-5\right)  

a)

2

b)

20

c)

8

d)

12

97.

Solve.

[(24÷8)×2]2 +[25÷(5)]\left[\left(-24\div8\right)\times2\right]^2\ +\left[25\div\left(-5\right)\right]  

a)

22

b)

36

c)

31

d)

41

98.

Solve.

[1×(2)]3÷(8)+25\left[1\times\left(-2\right)\right]^3\div\left(-8\right)+25  

a)

15

b)

26

c)

24

d)

22

99.

Solve.

[(5+2)2+11]÷12+(2)\left[\left(5+2\right)^2+11\right]\div12+\left(-2\right)  

a)

22

b)

7

c)

3

d)

12

100.

Solve.

[3(7)]×[(2)8][63+(30)]\left[3-\left(-7\right)\right]\times\left[\left(-2\right)-8\right]-\left[-63+\left(-30\right)\right]  

a)

5

b)

-7

c)

7

d)

-193

101.

Solve.

[2(2)]2÷[(4)4]6\left[2-\left(-2\right)\right]^2\div\left[\left(-4\right)-4\right]-6  

a)

-8

b)

-7

c)

7

d)

8

102.

Solve.

[(5+2)2+11]÷12+(2)\left[\left(5+2\right)^2+11\right]\div12+\left(-2\right)  

a)

22

b)

7

c)

3

d)

12

103.
-10 ÷ 2 + (-7)
a)
-12
b)
2
c)
-2
d)
12
104.
-5 + 6 - (-9) - 1
a)
-9
b)
1
c)
9
d)
2
105.
Which operation must be performed first?
52 + (9 - 1) ÷ 4 × 10 + 1
a)
52
b)
9 - 1
c)
4 × 10
d)
10 + 1
106.
True or False:
5(-2) - 3 = -7
a)
True
b)
False
107.
(-2) × 4 - 32
a)
-17
b)
1
c)
-1
d)
17
108.
True or false: all addition must be simplified before any subtraction
a)
True
b)
False
109.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
110.
How many terms does this expression have?
-18y + 7yz - 4z
a)
-18
b)
3
c)
7
d)
-4
111.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

112.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

113.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

114.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

115.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

116.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

117.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
118.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
119.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
120.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

121.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
122.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
123.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

124.
Simplify the following expression by combining like terms:
(3b - 4) - (4b + 6)
a)
-b + 2
b)
-b - 10
c)
7b - 10
d)
7b + 2
125.
Simplify    5(2 - 7n)
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
126.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
127.
Simplify the expression: 7+3(1 - 2x) 
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
128.
8(x+5) - 4(x+4)
a)
2x + 10
b)
2x + 21
c)
4x + 24
d)
4x - 8
129.
Add these expressions
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
130.
-(-x + 2) - 4x
a)
2x
b)
-4x
c)
-5x + 2
d)
-3x  - 2
131.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

132.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
133.

What is the perimeter of this parallelogram?

a)

7.6 m

b)

8.6 m

c)

9 m

134.

What is the perimeter of the triangle?

a)

51 cm

b)

59 cm

c)

45 cm

d)

48 cm

135.

What is the perimeter of the rectangle?

a)

28 in

b)

46 in

c)

56 in

d)

98 in

136.
Find the area of this triangle.
a)
12 in2
b)
22 in2
c)
18 in2
d)
24 in2
137.
Find the perimeter of this triangle.
a)
12 in
b)
22 in
c)
18 in
d)
24 in
138.

Find the perimeter of the given illustration.

4 lines
139.

Find the perimeter of the given illustration.

4 lines
140.

Find the area of the given illustration.

4 lines
141.

Find the area of the rectangle

4 lines