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Worksheets

5th Six Weeks Exam Review

Total questions: 159

Worksheet time: 3hrs 17mins

Name
Class
Date
1.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

2.

True or False?

The solution to the equation 4y - 9 = -36 is y = -4.

a)

True

b)

False

3.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
4.

Solve: 3w = 30

a)

6

b)

9

c)

10

d)

12

5.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
6.

4.5w = 22.5

a)

w = 101.25

b)

w = 3

c)

w = 5

d)

w = 18

7.

What is a Variable?

a)

A letter with an unknown value or amount.

b)

The sound I make when solving algebra.

c)

The answer in an algebraic expression

8.

What operation would you use to solve the following equation?

9x = 153

a)

addition

b)

subtraction

c)

multiplication

d)

division

9.

Solve the equation: 3x - 7 = 32

a)

x = 13

b)

x = 12

c)

x = -13

d)

x = -12

10.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
11.

Solve for T.

T + 14 = 63

a)

T = 49

b)

T = 39

c)

T = 77

12.

Solve: 9 + k = 18

a)

18

b)

9

c)

8

d)

7

13.

Solve: a - 5 = 9

a)

14

b)

9

c)

5

d)

4

14.

What is the difference between an algebraic expression and an equation?

a)

Algebraic expressions do not have variables, but equations do have variables

b)

Expressions and equations are not different

c)

Expressions do not have an equal sign and equations need to have an equal sign

d)

Expressions need to have an equal sign and equations do not have an equal sign

15.

12p = 72

a)

p = 864

b)

p = 60

c)

p = 6

d)

p = 84

16.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
17.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
18.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
19.

Which equation has a solution of x = -5?

a)

x + 15 = 10

b)

-2x = -10

c)

2x = -10

d)

25 - x = 15

20.

What operation would you use to solve the following equation?

75 = p - 25

a)

addition

b)

subtraction

c)

multiplication

d)

division

21.

Solve: x + 12 = 20

a)

32

b)

18

c)

8

d)

42

22.

n + 3.5 = 6.7

a)

n = 3.2

b)

n = 10.2

23.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
24.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
25.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
26.

Solve the equation: 3c + 5 = 23

a)

c = 3

b)

c = 7

c)

c = 6

d)

c = 18

27.

Solve: 10 = t - 8

a)

2

b)

4

c)

18

d)

20

28.

Solve: 11p = 121

a)

11

b)

12

c)

110

d)

456

29.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
30.

Solve: 13 = t + 7

a)

5

b)

6

c)

7

d)

20

31.

Solve: 10x = 90

a)

80

b)

100

c)

10

d)

9

32.

What is the goal when solving algebraic equations?

a)

to get the answer

b)

to isolate the variable (get the variable by itself)

c)

to get rid of the equal sign

d)

to divide

33.

Solve for X.

45 = X - 12

a)

X = 34

b)

X = 12

c)

X = 57

34.

True or False?

The solution to the equation 33 = 4a - 7 is a = 10.

a)

True

b)

False

35.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
36.

k/4 = 8

a)

k = 2

b)

k = 32

c)

k = 24

d)

k = 8

37.

Solve: 4 + b = 30

a)

16

b)

15

c)

34

d)

26

38.

Which of the following are examples of a TERM?

a)

-3x

b)

14

c)

(8m)

d)

All of the Above

39.
Solve for d:
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
40.
Solve for n:
n+2=-14-n
a)
6
b)
8
c)
-8
41.

The Division Property of Equality states that two sides of an equation are ​ (a)   when you ​ (b)   both sides by the same number, except for ​ (c)  

Choose from the below words
equal
divide
zero
multiply
unequal
add
subtract
one
42.

The Multiplication Property of Equality states that two sides of an equation are ​ (a)   when you ​ ​ (b)   both sides by the ​ (c)   number.

Choose from the below words
equal
multiply
same
unequal
add
subtract
different
divide
43.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
44.

24 = 3(3x 7)24\ =\ 3\left(3x\ -7\right)

a)

x = 9x\ =\ -9  

b)

x = 5x\ =\ 5  

c)

x =3x\ =3  

d)

x = 7x\ =\ 7  

45.
Solve the equation: 
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
46.
a)

-2

b)

-1

c)

4

d)

2

47.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
48.
6x + 3(-x + 11) = 3
a)
-10
b)
10
c)
15
d)
-15
49.
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
50.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)

x = -9

c)
x = 10
d)
x = 6
51.

A circle has diameter length 6 inches. Find the circumference.

a)

28.27 inches28.27\ inches  

b)

113.10 inches113.10\ inches  

c)

37.70 inches37.70\ inches  

d)

18.85 inches18.85\ inches  

52.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
53.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
54.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
55.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
56.

What is the circumference? (a)  

Choose from the below words
113.09
36
56.52
108
57.

what is the circumference of this circle ? (a)  

Choose from the below words
37.68 cm
3.14 cm 
24 cm
68.4 cm
58.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
59.
What is the area of this circle?
a)
6082.12
b)
1520.53
c)
1893.14
d)
1292.92
60.

Determine the radius of the penny.

a)

59.66 mm

b)

9.5 mm

c)

38 mm

d)

119.32 mm

61.

What is the area of a circle with a diameter of 14 inches?​ ​ ​ (a)  

Choose from the below words
153.9
28
87.96
3.14
62.

Solve for a. Round to the tenths place.

32a = 63 + 3a

a)

37.1

b)

4.8

c)

6

d)

2.2

63.

Solve for x. Round to the tenths place.

234 + 85x = 3(x-23)

a)

-2.8

b)

-3.7

c)

62.4

d)

7

64.

A circle has a circumference of 28 inches. What is the area? Use to solve & answer to the tenths place. (a)  

Choose from the below words
62.4
153.9
21.3
3.9
65.

What is the radius of a circle that has a circumference of 30 cm. Use the π\pi symbol to solve & round to the tenths place.

a)

58

b)

4.8

c)

37 .1

d)

3.9

66.

What is the area of a circle with the radius of 13? Use the π\pi symbol & round to the tenths place.

a)

530.9

b)

212

c)

153.9

d)

81.7

67.

Solve the following equation. (Type in the number only)

  5(4x+4)=140-5(4x+4)=140  

(a)  

68.

Solve the following equation. (Type in the number only)

9=p4p-9=p-4p  

(a)  

69.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
70.

Solve for x.

36x= 450\frac{36}{x}=\ 450

a)

1.8

b)

2.2

c)

.08

d)

.12

71.

Solve for b. Round to the tenths place.

45b= 28\frac{45}{b}=\ 28

a)

3.4

b)

1.6

c)

2.2

d)

4.5

72.

This formula is used to find what?

a)

Circumference

b)

Area

73.

What is the length of the radius of the circle?

(a)  

74.

Find the circumference of the circle

a)

50.24 yd

b)

25.12 yd

c)

11.14 yd

75.

What is the radius of a circle with an area of 65?

a)

4.5

b)

6

c)

212

d)

2.2

76.
x - 5.6 = 3.7
a)
9.3
b)
1.9
c)
9.1
d)
2.3
77.
6x = 8.4
a)
14.4
b)
2.4
c)
1.4
d)
1.33
78.
9.8 = x - 42.1
a)
32.3
b)
32.1
c)
51.9
79.
1.6 = 4x
a)
.4
b)
2
c)
4
d)
1.2
80.
9x = 16.2
a)
7.2
b)
25.2
c)
1.8
d)
23.4
81.
3x = 62.4
a)
20.8
b)
59.4
c)
65.4
d)
21.8
82.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
83.
Solve the equation:
x - 4 = 6
a)
x = 10
b)
x = -10
c)
x = 2
d)
x = -2
84.

What is the value of the variable?

13 + q = 56

a)

69

b)

40

c)

43

d)

42

85.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
86.
18+m=8
a)

m=-8

b)

m=10

c)

m=-10

d)

m=8

e)

0

87.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

88.

Solve the following equation

8 = m - 12

a)

x = 2

b)

x = 4

c)

x = 5

d)

x = 20

89.

Solve of k. 


k2=9\frac{k}{2}=9  

a)

17

b)

30

c)

26

d)

18

90.


Solve for m. 

m7= 8\frac{m}{7}=\ 8  

a)

76

b)

79

c)

56

d)

none of the above

91.

Solve for j.


7  j = 217\ \cdot\ j\ =\ 21  

a)

9

b)

3

c)

2

d)

4

92.


Solve for r. Solve\ for\ r.\

  108 = 9r108\ =\ 9r  

a)

11

b)

15

c)

7

d)

12

93.

Solve for y. Solve\ for\ y.\  
7y = 427y\ =\ 42  

a)

9

b)

4

c)

6

d)

7

94.

Solve for k. Solve\ for\ k.\  
k ÷ 9 = 10k\ \div\ 9\ =\ 10  

a)

99

b)

90

c)

9

d)

11

95.

4x = 72

a)

x = 18

b)

x = 68

c)

x = 288

d)

x = 62

96.

y + 65 = 182

a)

y = 107

b)

y = 117

c)

y = 247

d)

y = 123

97.

5.5z = 33

a)

z = 3

b)

z = 4

c)

z = 5

d)

z = 6

e)

7

98.

12.4r=3.1\frac{12.4}{r}=3.1

a)

r = 4

b)

r = 5

c)

r = 3

d)

r = 2

e)

r = 6

99.

y + 6 = 20

a)

y = 22

b)

y = 13

c)

y = 14

d)

y = 16

100.
x - 10 = 12
a)
22
b)
-22
c)
2
d)
-2
101.

12 + z = -15

a)

-3

b)

3

c)

-27

d)

27

102.
2 + n =16
a)
18
b)
-18
c)
14
d)
-14
103.
a + 4 = 14
a)
-10
b)
10
c)
-18
d)
18
104.
m - 5 = -10
a)
-15
b)
15
c)
-5
d)
5
105.
x - 15 = -20
a)
-5
b)
5
c)
-35
d)
35
106.
w + 14 = 10
a)
-24
b)
24
c)
-4
d)
4
107.

r + 18 = -27

a)

-45

b)

45

c)

-9

d)

9

108.

25 + k = 13

a)

-12

b)

12

c)

-38

d)

38

109.
9 + t = 56
a)
-47
b)
47
c)
-65
d)
65
110.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
111.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
112.

What is the inverse operation needed to solve for p?

254 = p - 765

a)

subtraction

b)

addition

c)

multiplication

d)

division

113.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
114.

4b = 24

a)

b = 12

b)

b = 6

c)

b = 28

d)

b = 4

115.

-7n = 35

a)

n = 5

b)

n = -7

c)

n = -5

d)

n = 35

116.

y3 = 33\frac{y}{-3\ }=\ 33   

a)

y = -3

b)

y = -99

c)

y = 33

d)

y = 11

117.

p5=30\frac{p}{5}=-30  

a)

p = -6

b)

p = 5

c)

p = -30

d)

p = -150

118.

3t =2.1-3t\ =-2.1  

a)

t = -3

b)

t = -0.7

c)

t = 0.7

d)

t = 3

119.

d5=3\frac{d}{5}=-3  

a)

d = -3

b)

d = 5

c)

d = -15

d)

d = 3

120.

15 = 3y

a)

y = 3

b)

y = 5

c)

y = 15

d)

y = 45

121.

b4=5\frac{b}{4}=-5  

a)

b = -20

b)

b = 4

c)

b = -5

d)

b = 1

122.

24 = -6k

a)

k = -30

b)

k = 24

c)

k = -6

d)

k = -4

123.

d6=3\frac{d}{6}=-3  

a)

d = 2

b)

d = -18

c)

d = -2 

d)

d = -3

124.

3j = -36

a)

j = -3

b)

j = 12

c)

j = -12

d)

j = 3

125.

9.6 = 1.2 y

a)

y = 1.2

b)

y = 12

c)

y = 8

d)

y = 10.8

126.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
127.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
128.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
129.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
130.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 1
d)
x = 5
131.

Which operation would you use to undo the following equation to solve for x?


x + 5 = 8

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

132.

Which operation would you use to undo the equation and solve for x?


5x = - 20

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

133.

Which operation would you use to undo the equation and solve for x?

x6=3\frac{x}{-6}=3  

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

134.

Which operation would you use to undo the equation and solve for x?


x - 9 = -10

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

135.

The _________ must be alone or isolated on one side of the equation.

a)

constant

b)

coefficient

c)

exponent

d)

variable

136.

Isolate the variable by using __________ or opposite operations.

a)

intricate

b)

inverse

c)

similar

d)

the same

137.

What is the inverse operation of addition?

a)

multiplication

b)

division

c)

subtraction

d)

exponents

138.

What is the inverse operation of subtraction?

a)

division

b)

addition

c)

multiplication

d)

subtraction

139.

What is the multiplication property of equality?

a)

The property stating that when two sides of an equation are equal, you multiply both sides of the equation by the same number.

b)

The property stating that when two sides of an equation are not equal, you multiply both sides of the equation by the same number.

c)

The property stating that when two sides of an equation are equal, you multiply both sides of the equation by a different number.

d)

The property stating that when two sides of an equation are not equal, you multiply both sides of the equation by the same number.

140.

What is the division property of equality?

a)

The property stating that when two sides of an equation are equal, you divide both sides of the equation by the different number. EXCEPT ZERO.

b)

The property stating that when two sides of an equation are NOT equal, you divide both sides of the equation by the different number. EXCEPT ZERO.

c)

The property stating that when two sides of an equation are equal, you divide both sides of the equation by the same number. EXCEPT ZERO.

d)

The property stating that when two sides of an equation are equal, you divide both sides of the equation by the different number. EXCEPT ZERO.

141.

Click on the entry that determines M2,3.

142.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
143.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
144.
Dimensions?
a)
a
b)
b
c)
c
d)
d
145.
In Matrix R (pictured) what is the value of element R3,2
a)
8
b)
9.01
c)
6
d)
1
146.

Match each matrix to its correct dimension.

a)
1.

1 x 3

b)
2.

3 x 1

c)
3.

2 x 4

d)
4.

4 x 2

e)
5.

2 x 3

147.
What is the value of element a23?
a)
2
b)
-1
c)
6
d)
1
148.

The order of a matrix is written as

a)

number of rows x number of columns

b)

number of columns x number of rows

c)

a multiple

d)

a number

149.

What are the dimensions of Matrix G?

a)

2 x 3

b)

3 x 2

150.

Element G2,2 is

a)

1

b)

2

c)

3

d)

4

151.

Determine the entry in b3,1

152.

What are the dimensions of matrix M?

a)

4 x 3

b)

2 x 3

c)

3 x 4

d)

3 x 2

153.

What are the dimensions of Matrix B?

a)

4 x 3

b)

3 x 2

c)

2 x 3

d)

3 x 4

154.

Determine the entry for A 4,2

155.

What are the dimensions for Matrix A?

a)

4 x 3

b)

3 x 2

c)

3 x 4

d)

2 x 3

156.

A ​ (a)   is a rectangular array with data organized into rows and columns, closed in brackets to indicate ​ boundaries.

Choose from the below words
matrix
Entry
Array
Row
Column
Dimension
157.

An individual data number written inside a matrix that is identified by the row and column it's located in is called...

(a)  

158.

A (a)   describes the size of the matrix by the number of rows and columns.

Choose from the below words
dimension
entry
array
matrix
159.

Describe the entry B 1,2.

a)

Dallas had 37° weather on January 1, 2015.

b)

Houston had 47° weather on January 1, 2015.

c)

Dallas had 95° weather on July 4, 2015.

d)

Houston had 92° weather on July 4, 2015.