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Topic 4 Review

Total questions: 105

Worksheet time: 25hrs 42mins

Name
Class
Date
1.
To solve an equation, the goal is to __________ the variable on one side.
a)
Evaluate
b)
Leviate
c)
Isolate
d)
Reciprocate
2.

Two operations that have the opposite effect are called:

a)

Reverses

b)

Inverses

c)

Exverses

d)

Universes

3.
What is the first step in solving the following equation?
3x - 5 = 20
a)
multiply both sides by 5
b)
add 5 to both sides
c)
divide both sides by 5
d)
subtract both sides by 5
4.

What is the first step to solve this equation:

3x+11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

5.

Solve for a: 5a + 1=26

a)

a= 5 45

b)

a= no solution

c)

a= 0

d)

a= 5

6.

Solve for n: 3n + 4 = 7 

a)
1
b)
-1
c)
3.67
d)
2
7.

Solve for c: 4c - 6 = 2 

a)
2
b)
-2
c)
1
d)
3
8.

Solve for k: 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

9.

Solve for m: 5m -2=13

a)

-3

b)

2

c)

3

d)

-2

10.

Solve for x: 3x - 5 = -26

a)
x=-21
b)
x=21
c)
x=-7
d)
x=61
11.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

12.

t8= 5\frac{t}{-8}=\ -5  

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

13.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

14.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
15.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
16.
5 = f - 2
a)
4
b)
7
c)
-3
d)
2
17.
6 x = -30
x=
a)
2
b)
7
c)
-5
d)
5
18.

3 = c11\frac{c}{-11}  

a)

33

b)

14

c)

-33

d)

-14

19.

Solve the equation:
8x=32-8x=-32  

a)

4

b)

40

c)

6

d)

5

20.

Solve for x.


x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

21.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
22.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
23.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
24.
Solve the equation:
2w=58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
25.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
26.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
27.

x + 8 = 15

a)

7

b)

8

c)

9

d)

6

28.

x + 13 = 25

a)

15

b)

12

c)

10

d)

11

29.

x - 10 = 20

a)

30

b)

10

c)

20

d)

15

30.

5n = 30

a)

8

b)

12

c)

6

d)

5

31.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
32.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
33.
m+13=21
a)
m=34
b)
m=8
c)
m=273
d)
m=6
34.
Solve for y:
y - 7 = 10
a)
17
b)
-3
c)
3
d)
-17
35.

Solve for x

7x=147x=14  

a)

x=7x=7  

b)

x=2x=2  

c)

x=7x=-7  

d)

x=14x=-14  

36.

Solve for x

x+10=4x+10=4  

a)

x=6x=-6  

b)

x=2x=-2  

c)

x=24x=24  

d)

x=14x=14  

37.

Solve for x.

3+x=7-3+x=7  

a)

x=6x=6  

b)

x=4x=-4  

c)

x=4x=4  

d)

x=10x=10  

38.

Solve for x

8+x = 138+x\ =\ 13  

a)

x=21x=21  

b)

x=5x=5  

c)

x=9x=9  

d)

x=2x=-2  

39.

Solve for x

3x=93x=9  

a)

x=12x=12  

b)

x=3x=3  

c)

x=27x=27  

d)

x=3x=-3  

40.

Solve for x

5x=405x=40  

a)

x=35x=35  

b)

x=14x=\frac{1}{4}  

c)

x=8x=8  

d)

x=3x=3  

41.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
42.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
43.
s - 22 = 50
a)
s = 28
b)
s = 20
c)
s = 72
d)
s = 75
44.
6x = 30
a)
x = 5
b)
x = 24
c)
x = 6
d)
x = 36
45.
t/8 = 5
a)
t = 3
b)
t = 13
c)
t = 44
d)
t = 40
46.
4r = 28
a)
r = 35
b)
r = 4 + 3
c)
r = 9
d)
r = 1/7 
47.
g - 15 = 30
a)
g = 3(5)
b)
g = 15(3) 
c)
g = 15
d)
g = 7(5)
48.
S + 18 = 24
a)
S = 42
b)
S = 32
c)
S = 18
d)
S = 4 + 2 
49.
9h = 81
a)
h = 32
b)
h = 18
c)
h = 90
d)
h = 72
50.
y/7 = 3 x 3
a)
y = 21
b)
y = 63
c)
y = 13
d)
y = 27
51.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

52.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

53.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
54.
Which of the following is equivalent to 2(c - 8)?
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
55.
a)
6x+6
b)
5x+18
c)
6x+12
d)
6x+18
56.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

57.
3(3x +1)
a)
9x +3
b)
3x + 3
c)
12x
d)
9x + 1
58.
2(4 + 9w) 
a)
6+9w
b)
8+2w
c)
4+9w
d)
8+18w
59.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
60.
What does it mean to distribute?
a)
To multiply the numbers inside the parentheses by the number on the outside.
b)
To add all of the numbers together.
c)
To do the order of operations.
61.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

62.

Simplify the expression by using the Distributive Property:


-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

63.

Simplify the expression by using the Distributive Property:


9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

64.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

65.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

66.

Simplify the expression by using the Distributive Property:


2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

67.

Simplify the expression by using the Distributive Property:


-2(3m + 9)

a)

-6m + 7

b)

-6m - 7

c)

-6m + 18

d)

-6m - 18

68.

Simplify the expression by using the Distributive Property:


9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

69.

Simplify the expression by using the Distributive Property:


-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x + -24

70.

Simplify the expression by using the Distributive Property:


8(2x + 7)

a)

16x + 7

b)

16x + 56

c)

16x + 15

d)

8x + 7

71.

Solve the following equation:

3(x+5)=123\left(x+5\right)=12  

a)

11  

b)

1-1  

c)

99  

d)

44  

72.

Solve the following equation:

3(x+4)=183\left(x+4\right)=18  



a)

22  

b)

2-2  

c)

33  

d)

3-3  

73.

Solve the following equation:

5(4y+8)=405\left(4y+8\right)=40  



a)

00  

b)

11  

c)

1-1  

d)

44  

74.

Solve the following equation:

3(2x+7)=273\left(2x+7\right)=27  



a)

11  

b)

1-1  

c)

00  

d)

66  

75.

Solve the following equation:

3(x+2)=153\left(x+2\right)=-15  



a)

7-7  

b)

77  

c)

33  

d)

3-3  

76.

Solve the following equation:

2(x+1)=162\left(x+1\right)=16  



a)

77  

b)

7-7  

c)

00  

d)

22  

77.

Solve the following equation:

(2x11)=7-\left(2x-11\right)=7  



a)

22  

b)

00  

c)

33  

d)

11  

78.

Solve the following equation:

4(2x2)=32-4\left(2x-2\right)=-32  



a)

55  

b)

1-1  

c)

00  

d)

5-5  

79.

Solve the following equation:

6(5x+3)=132-6\left(5x+3\right)=132  





(a)  

80.

Solve the following equation:

8(7x+8)=1608\left(-7x+8\right)=-160  





(a)  

81.

Solve the following equation:

8(5x7)=1368\left(5x-7\right)=-136  





(a)  

82.

Solve the following equation:

2(7x5)=1082\left(7x-5\right)=-108  





(a)  

83.

Solve the following equation:

5(8x+5)=215-5\left(8x+5\right)=215  





(a)  

84.

Solve the following equation:

8(8x+4)=96-8\left(8x+4\right)=96  





(a)  

85.

Solve the following equation:

2(x1)=8-2\left(x-1\right)=8  





(a)  

86.

Solve the following equation:

2(5x+2)=84-2\left(-5x+2\right)=-84  





(a)  

87.

Solve the following equation:

23(3x+9)=18\frac{2}{3}\left(3x+9\right)=18  

(a)  

88.


Solve the following equation:

34(16x28)=15-\frac{3}{4}\left(16x-28\right)=15  



(a)  

89.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
90.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
91.

Evaluate the expression 5z - 20 ÷ 2 + z. For z = 8

a)

2

b)

18

c)

20

d)

38

92.

Evaluate the expression 2p - (p + 3) ÷ 3. For p = 6

a)

1

b)

3

c)

5

d)

9

93.

Evaluate the expression 16 + 36 ÷ b. For b = 4

a)

56

b)

25

c)

24

d)

13

94.

Evaluate the expression 6 + 8f. For f = 4

a)

8

b)

18

c)

38

d)

56

95.

Evaluate the expression 8 + 2g - g ÷ 2. g = 4

a)

22

b)

14

c)

5

d)

10

96.

Evaluate the expression 3d + (5 - d); d = 4

a)

11

b)

16

c)

14

d)

13

97.

Evaluate the expression x2 - x; x = 6

a)

30

b)

6

c)

42

d)

12

98.

Evaluate the expression (h - 6) + h ÷ 6; h = 6

a)

6

b)

1

c)

12

d)

2

99.

Evaluate the expression 14 + x ÷ 2; x = 4

a)

16

b)

9

c)

12

d)

18

100.

Evaluate the expression when x=8; y=9x=-8;\ y=-9  

a)

-59

b)

-5

c)

5

d)

59

101.

Evaluate the expression when x=2; y=6x=-2;\ y=6  

a)

-4

b)

-8

c)

4

d)

8

102.

Evaluate the expression when   x=5x=-5  

a)

-17

b)

-13

c)

13

d)

-4

103.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
104.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
105.

Evaluate the expression for a = 3, b = 4, c = 6

bc + 5a

a)

99

b)

39

c)

63

d)

87