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M7 22/23 Final Review ch 3,4,5,6

Total questions: 173

Worksheet time: 8hrs 17mins

Name
Class
Date
1.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
2.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
3.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
4.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
5.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
6.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
7.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
8.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
9.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
10.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
11.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
12.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
13.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
14.
-32/8
a)
-4
b)
-5
c)
4
d)
24
15.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
16.
Express an integer: a debt of $50
a)
50
b)
-50
17.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location? 
a)
-300
b)
-1300
c)
-3300
d)
300
18.
Compare these Integers using the symbols:
<  >   =
-56   ____    -47
a)
<
b)
>
c)
=
d)
19.
An integer is...
a)
A whole number that can be positive, negative, or zero
b)
A number and its opposite
c)
All positive and negative numbers
d)
a number that is fractions, decimals, or whole
20.
The absolute value of a number is...
a)
Always negative
b)
Always positive
c)
the opposite of the number
d)
zero
21.
-7(10)=
a)
70
b)
700
c)
-70
d)
-700
22.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
23.
-3(-4)
a)
-12
b)
c)
-7
d)
12
24.
-8(0)=
a)
-8
b)
8
c)
0
d)
-80
25.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
26.
-5 x -8
a)
-40
b)
-13
c)
-45
d)
40
27.
Is the product
–8 • (–3) positive or negative?
a)
negative
b)
positive
c)
both
d)
neither
28.
A negative number multiplied by another negative number will equal ________.
(-) x (-) = ???
a)
0
b)
a positive number.  (+)
c)
a negative number.  (-)
d)
a fraction.
29.
A negative number multiplied by a positive number will equal ________.
(-) x (+) = ???
a)
0
b)
a positive number.  (+)
c)
a negative number.  (-)
d)
a fraction.
30.
a)
-4
b)
-6
c)
4
d)
6
31.
a)
5
b)
6
c)
-5
d)
-6
32.
a)
5
b)
-5
c)
3
d)
-3
33.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
34.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
35.
7 - 9 ÷ 9
a)
18
b)
6
c)
1
d)
3
36.
90 - 52 x 3
a)
15
b)
240
c)
195
37.
2 + (9- 4)
a)
16
b)
77
c)
79
38.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
39.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
40.
3 x 22 + 24 ÷ 8
a)
15
b)
10.5
c)
4.5
41.
(52 ÷ 4) + 53
a)
28
b)
38
c)
138
42.

4 - 3 + 6 x 16

a)

97

b)

96

c)

144

d)

140

43.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
44.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
45.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
46.
The quotient of seven and w
a)
7/w
b)
7w
c)
w/7
d)
w7
47.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
48.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
49.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a2 + c2   
a)
22
b)
34
c)
68
d)
43
50.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab
a)
10
b)
12
c)
15
d)
36
51.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a
a)
5
b)
6
c)
8
d)
10
52.
Evaluate -2x  if     x = 10
a)
-8
b)
20
c)
-20
53.

Simplify: -5x + 1

when x = 12

a)

59

b)

-59

c)

60

d)

-60

54.

Simplify: 13 - 4x

when x = (-8)

a)

-19

b)

-45

c)

45

d)

The answer is not here.

55.

Simplify: 6x + 2m

when x = 14 and m = (-9)

a)

66

b)

-66

c)

102

d)

13

56.

Simplify:

x3 + 4\frac{x}{3}\ +\ 4  
when x = 24

a)

10

b)

76

c)

-12

d)

12

57.

Simplify: 15w - 3n + 4m

when w = 2, n = (-7), m = 3

a)

-63

b)

63

c)

21

d)

The answer is not here.

58.

Simplify: -7 + x2

when x = 3

a)

2

b)

4

c)

-1

d)

16

59.

Simplify: 10n + 3h

when n = (-4) and h = 0

a)

0

b)

-37

c)

40

d)

-40

60.

Simplify: n4

when n = 3

a)

81

b)

12

c)

7

d)

The answer is not here.

61.
Evaluate the expression.
a)
15
b)
11
c)
-15
d)
-11
62.
Evaluate the expression.
a)
3
b)
4
c)
-3
d)
-6
63.
Evaluate the expression.
a)
3
b)
6
c)
-18
d)
-21
64.
(7 x 5) + (6 x 4)
a)
48
b)
69
c)
59
d)
72
65.
a)
2/12
b)
2/24
c)
1/12
d)
1/6
66.
a)
3/11
b)
21/38
c)
19/24
d)
3/16
67.
a)
1/3
b)
3
c)
3/9
d)
3/18
68.
a)
-4/3
b)
13/18
c)
4/3
d)
2/9
69.
a)
1/40
b)
5  1/8
c)
6  3/8
d)
5/8
70.
a)
1/4
b)
9/16
c)
5/11
d)
6/24
71.
a)
6  3/20
b)
5  4/9
c)
6  4/15
d)
8  1/4
72.
a)
5/14
b)
2  1/3
c)
-1  1/3
d)
2  1/2
73.
a)
-6/12
b)
-5/12
c)
5/12
d)
-5/7
74.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
75.

5/7 + (-9/7)

a)

-4/7

b)

-7/4

c)

4/7

d)

-7/4

76.

123 × 45-1\frac{2}{3}\ \times\ \frac{4}{5}  
Simplify the expression.

a)

113-1\frac{1}{3}  

b)

1131\frac{1}{3}  

c)

2112-2\frac{1}{12}  

d)

21122\frac{1}{12}  

77.

Simplify the expression
1314 × (6)-\frac{13}{14}\ \times\ \left(-6\right)  

a)

5475\frac{4}{7}  

b)

547-5\frac{4}{7}  

c)

1384\frac{13}{84}  

d)

1384-\frac{13}{84}  

78.

Simplify the expression.
67 ÷ 1412\frac{6}{7}\ \div\ \frac{14}{12}  

a)

3649\frac{36}{49}  

b)

3649-\frac{36}{49}  

c)

1

d)

1271\frac{2}{7}  

79.

514 ÷ 1 37-\frac{5}{14}\ \div\ -1\ \frac{3}{7}  

a)

14-\frac{1}{4}  

b)

14\frac{1}{4}  

c)

2549-\frac{25}{49}  

d)

2549\frac{25}{49}  

80.
Compare.
1.75        1¾
a)
<
b)
>
c)
=
81.
Order -2/3, -4/5, 8/15 and 3/5 from least to greatest
a)
-4/5, -2/3, 8/15, 3/5
b)
8/15, 3/5, -2/3, -4/5
c)
-2/3, 3/5, -4/5, 8/15
d)
-2/3, -4/5, 3/5, 8/15
82.
Which is the least:  0.06 or 0.060
a)
0.06
b)
They are equal.
c)
0.060
d)
Depends on the time of day.
83.
Which comparison symbol should be placed between the two numbers?
a)
<
b)
c)
=
84.
Which correctly orders the following decimals and fractions from least to greatest?
3/12, 8/9, 0.75, 0.22
a)
0.22, 3/12, 0.75, 8/9
b)
0.22, 0.75, 8/9, 3/12
c)
8/9, 0.75, 3/12, 0.22
d)
0.75, 8/9 0.22, 3/12
85.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

86.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

87.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

88.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

89.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

90.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

91.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

92.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

93.
2(3v - 8) 
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
94.
9(x-3)
a)
9x-3
b)
9x+3
c)
36x
d)
9x-27
95.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
96.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
97.
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
98.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
99.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
100.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
101.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
102.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
103.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
104.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
105.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
106.
-(6 - 4p) 
a)
6-4p
b)
6+4p
c)
-6+4p
d)
6p-4
107.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
108.
Simplify the following expression:
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
109.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
110.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b2 + 21

c)

33b - 19

d)

-47b + 19

111.
–2n + 5(–3 + 3n)
a)
–15 + n
b)
17n – 15
c)
13n – 15
d)
–17n + 3
112.
–4 –8(b + 9)
a)
76 – 8b
b)
–12b – 108
c)
–8b + 68
d)
–76 – 8b
113.
9(10 – 8x) + 4x
a)
90 – 68x
b)
90 – 4x
c)
19 – 4x
d)
–13x + 19
114.
3x + 10(1 – 7x)
a)
13x – 7
b)
–67x + 10
c)
–4x + 10
d)
–73x + 10
115.
3v + 4(v – 1)
a)
7v – 1
b)
7v + 3
c)
4v – 4
d)
7v – 4
116.
–7 – 6(4k + 5)
a)
–52k – 65
b)
–24k – 37
c)
–24k + 5
d)
24k + 23
117.
9m + 3(–4 – 9m)
a)
–18m – 12
b)
–12
c)
–18m – 4
d)
–48 – 108m
118.
–3r – 6(–7 – 10r)                                                                                                                  
a)
–63r – 42
b)
– 63r + 42
c)
– 13r + 42
d)
57r + 42
119.
–6(x – 4) – 10(1 + 9x)
a)
3x – 14
b)
–96x + 14
c)
3x – 34
d)
84x + 34
120.
7(9x – 6) + 3(1 – x)
a)
60x + 4
b)
13x + 5
c)
60x – 39
d)
62x – 3
121.
–(–9 – 6x) + 6(8 – 3x)
a)
57 – 12x
b)
–24x + 39
c)
3x + 57
d)
–24x + 23
122.
10(p + 3) + 4(1 + 6p)
a)
16p + 7
b)
7p + 18
c)
16p + 34
d)
34p + 34
123.
6(–4x – 2) – 2(x + 10)
a)
–26x – 32
b)
–26x + 8
c)
–22x + 8
d)
–26x + 8
124.
–4(–9 + 9p) + 9(5 + 8p)
a)
17p + 81
b)
9 + 36p
c)
81 + 108p
d)
81 + 36p
125.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
126.
In the expression  x - 53 - 4x - w + 6x + 8  , -53 is a 
a)
Coefficient
b)
Constant
c)
Variable 
d)
None of these
127.
In the expression  x - 53 - 4x - w + 6x + 8  , -4x is a 
a)
Term
b)
Variable
c)
Coefficient
d)
Constant
128.
In the expression  x - 53 - 4x - w + 6x + 8  , the variables are
a)
x, w, 8
b)
-53, 8
c)
x, w
d)
x, -4x, 6x, -w
129.
In the expression  x - 53 - 4x - w + 6x + 8  , the constants are
a)
53, 8
b)
1,-4, -1, 6
c)
x, w
d)
-53, 8
130.
In the expression  x - 53 - 4x - w + 6x + 8  , the coefficient on the term "x" is
a)
0
b)
There is no coefficient
c)
1
d)
-1
131.
In the expression  x - 53 - 4x - w + 6x + 8  , the coefficient on the "w" term is
a)
1
b)
there is no coefficient
c)
-1
d)
w
132.
In the expression  x - 53 - 4x - w + 6x + 8  , list the terms.
a)
-53, 8
b)
6
c)
x, -53, -4x, -w, 6x, 8
d)
-4, 6
133.

Name the variable: 20 - 2x

a)

20

b)

2

c)

x

d)

a

134.
Simplify each expression:
7p - 10p
a)
-3p
b)
3p
c)
17p
d)
p
135.
Simplify each expression:
1 + 7(1-3b)
a)
8 - 21b
b)
8b
c)
1 + 10b
d)
1 + -14b
136.
Simplify each expression:
4b + 6 - 4
a)
10b - 4
b)
14b
c)
4b + 10
d)
4b + 2
137.
Simplify each expression:
10x + 17 - 38x + 23
a)
-28x + 40
b)
12x
c)
-48x + 40
d)
 18x + 50
138.
Simplify each expression:
9r - 5 + 10r
a)
14r
b)
r + 5
c)
19r - 5
d)
19r + 5
139.
Identify the coefficient in the expression.
6y + 7
a)
6y
b)
7
c)
6
d)
1
140.
What is the "2" called
 in the following term
   "2x"
a)
Variable Term
b)
Variable
c)
Constant
d)
Coefficient
141.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

142.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
143.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
144.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
145.

What is a constant?

a)

A term with no variables.

b)

A coefficient.

c)

A term with numbers and variables.

d)

A letter.

146.

a)

90, 3h, 14

b)

90, 18, 3, 14

c)

90 , 18w , 3h , 14

d)

18w, 3h

147.

a)

5y, 87, 15z, 2

b)

5, 87, 15, 2

c)

5, 15

d)

87, 2

148.

a)

82, 3, 7, 41, 54

b)

82b, 3u2, 7, 41h, 54

c)

7, 54

d)

2

149.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
150.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
151.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
152.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
153.
Solve  x - 2.3 = 3.07
a)
5.37
b)
0.77
c)
7.061
d)
1.33
154.

x + 17.6 = 1.9

a)

-15.7

b)

-18.5

c)

20.5

d)

21.5

155.
Solve
a)
9.7
b)
7.9
c)
97
d)
79
156.

0.6 = -1.2w

a)

w = 0.5

b)

w = 0.72

c)

w = .-0.72

d)

w = -0.5

157.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
158.
x + 11/2  = 53/4
a)
x = 4 1/4
b)
x = 4 5/4
c)
x = 4 2/2
d)
x = 5
159.
a)

b= 7/18

b)

b= 14

c)

b= 4/9

d)

None of the above

160.
26 = 5a + 1
a)
a= 5 45
b)
a= no solution
c)
a= 0
d)
a= 5
161.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
162.
x / 2  -  5 = 3 
a)
x = -2
b)
x = 16
c)
x = 2
d)
x = 8
163.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
164.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
165.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
166.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
167.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
168.
Solve the equation for x:
8x + 9 - 7 = 18
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
169.
Solve the equation for x:
8x - 6x + 4 + 5 = 19
a)
x = 4
b)
x = 5
c)
x = 6
d)
x = 7
170.

-5 ( x - 2) = 5

a)

x = -1

b)

x = 1

c)

x = 5

d)

x = -5

171.

-4( x + 4 ) + 3 = 11

a)

x = 6

b)

x = -6

c)

x = -1

d)

x = -5

172.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
173.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76