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Worksheets

Algebra Mega E2 Prep

Total questions: 112

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
2x + 3x = ?
a)
x+5
b)
5x
c)
55x
d)
5x5
2.
5x + 6 + 4x =
a)
15x
b)
x+6
c)
9x + 6
3.
7y + 2x +3y =
a)
12xy
b)
10y + 2x
c)
9xy+3
4.
4s + 8s =
a)
12s
b)
s+12
c)
s
d)
4s
5.
10y + 10x =
a)
20xy
b)
10y + 10x
6.
16x - 10x =
a)
66x
b)
x + 6
c)
6x
7.
17x + 7 + 2x =
a)
19x + 7 
b)
19 + 7x
c)
7x + 19
8.
10z + 2z = 
a)
20z
b)
20
c)
12z
9.
y + y =
a)
y2
b)
2y
10.
6t + 7 =
a)
13t
b)
6t +7 
c)
42t
11.

The expression for ‘ 1 subtracted from -p’ is

a)

-P-1

b)

p – 1

c)

1 – p

d)

1 + p.

12.

If the age of Hari Kishan is two times the age of Manish (which is x years), then the age of Hari Kishan, in years, is_____

a)

x/2

b)

2x

c)

x + 2

d)

x – 2

13.

Choose a value of ‘a’ that satisfies the equation 6a = -30.

a)

5

b)

30

c)

10

d)

-5

14.

Which of the following is an equation?

a)

2x + 3 = 5

b)

2x + 3 < 5

c)

2x + 3 > 5

d)

2x + 3 ≤ 5

15.

The expression for sum of numbers a and b subtracted from their product is-----

a)

a + b – ab

b)

ab – a + b

c)

ab + a – b.

d)

ab – (a + b)

16.

Ramu’s father is thrice as old as Ramu. If father’s age is 45 years, how old is Ramu?

a)

45 years

b)

15 years

c)

30 years

d)

10 years

17.

x+y+z is-------

a)

an expression

b)

an equation

c)

constant

d)

a variable

18.

Which of the following is the expression for “3 added to the sum of 9 and x”?

a)

(x + 9) + 3

b)

3x + 9

c)

9x + 3

d)

3x + (3 x 9)

19.

The age of Siddarth is x years , Sahil is 5 years older than Siddharth therefore Sahils age is

a)

x/5

b)

x-5

c)

5x

d)

x+5

20.

Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.

a)

66 m

b)

11 m

c)

3 m

d)

22 m

21.

Raju' s father s age is 5 years more than 3 times Raju s age. If Raju s age is x years, then father’s age is____

a)

5 – 3x

b)

3x- 5

c)

15x

d)

3x + 5

22.

The rule, which gives the number of matchsticks required to make the matchstick pattern E, is

a)

2 n

b)

3 n

c)

5 n.

d)

4 n

23.

The expression for ‘x is divided by 2 and the result is added to 1’ is

a)

2 – x.

b)

1 – x/2

c)

1 + x/2

d)

2 + x

24.

3z = 9

a)

1

b)

3

c)

2

d)

4

25.

The length of an edge of a cube is l. The total length of its edges is___

a)

3 l

b)

4l

c)

6l

d)

12l

26.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
27.
W-10+9W-3
a)
10W+7
b)
9W-5
c)

9W +13

d)
10W -13
28.
12X-8-12
a)
30X
b)
32X
c)
12X-20
d)
12X-6
29.
-4W-10W
a)
6W
b)
-6W
c)
-14W
d)
14W
30.
-V-10V
a)
-11V
b)
-9V
c)
9V
d)
11V
31.
5Z +11Z
a)
6Z
b)
-6Z
c)

16Z

d)
-16Z
32.
-5 + 9N + 6
a)
11 + 9N
b)
1 + 9N
c)
1-9N
d)
10N
33.
4P +2P
a)
2P
b)
6P
c)
-6P
d)
-2P
34.
-2X + 11 +6X
a)
4X+11
b)
-4X-11
c)

4X-11

d)
2X-11
35.
11R-12R
a)
22R
b)
-22R
c)

R

d)
-R
36.
simplify:  -4 + 7 ( 1-3x)
a)
11 + 3x
b)
3-21x
c)
11-2x
d)
3 + 21x
37.
Simplify: -15w - 19w
a)
4w
b)
-4w
c)
34w
d)
-34w
38.
simplify: 10-5 (9n-9)
a)
55-45n
b)
45-55n
c)
55+45n
d)
45+55n
39.
Simplify:  3 (a +b + c)
a)
a+b+c
b)
3+3+3
c)
3a + 3b +3c
d)
a-b-c
40.
simplify: x ( w-y-z)
a)
x+y+z
b)
xw+xy+xz
c)
xw-xy-xz
d)
x-y-z
41.
-3 (10b +10) + 5 (b+2)
a)
-25b-20
b)
25b-2
c)
-25b
d)
-2
42.
(2x-3y+5g) 5
a)
7x-2y+10g
b)
7x+2y-10g
c)
10x+15y+25g
d)
10x-15y+25g
43.
9w +10(6w-1)
a)

19w-10

b)
19w +11
c)
69w+10
d)
69w-10
44.
4 (-2z +5x +6)
a)
8z +9x +10
b)
2z +9x +10
c)
-8z +20x +24
d)
8z-20x-24
45.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x+ 2x - 2
c)
5x2
d)
5x2 + 6x + 8
46.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
47.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
48.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
49.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
50.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
51.
Simplify the expression
-6x - 5(10x + 3)
a)
-56x - 15
b)
-56x+15
c)
44x+15
d)
-44x-15
52.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
53.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
54.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
55.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
56.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
57.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
58.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
59.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
60.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4 
b)
2x3 + 11x2 + 14x + 3 
c)
-2x3 - 11x2 + 14x + 5 
d)
x3 - 11x2 + 14x + 3 
61.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
62.
(4x-2)(4x+2)
a)
16x2 + 4
b)
16x2 + 8x + 4
c)
16x- 4
d)
16x2 + 8x - 4
63.
What is the Perimeter?
a)
3x - 3 inches
b)
6x - 6 inches
c)
3x - 6 inches
d)
6x - 3 inches
64.

If a rectangular field has a length of x+7x+7  and a width of  4x24x-2  ,  write an expression for the length of fencing to go around the outer edges.

a)

5x+55x+5  

b)

10x+1010x+10  

c)

Why do we need fences?

d)

4x2144x^2-14  

65.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
66.
Which polynomial is written in standard form?
a)
8x - 11x2
b)
4x3 + 7x - 9
c)
12 + 4x
d)
13x + 7x2 - 9x3 + 12
67.
Identify the degree of the monomial:
8a3
a)
8
b)
1
c)
3
d)
11
68.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
69.
Classify the polynomial by its number of terms.
 4x² - 2
a)
A
monomial
b)
B
binomial
c)
C
trinomial
d)
D
polynomial
70.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
71.
What is the degree of the polynomial
 x2-2x+5
a)
1
b)
2
c)
3
d)
0
72.
4x2 + 8x - 7
is classified as a...
a)
Third Degree Monomial
b)
Second Degree Binomial
c)
Second Degree Trinomial
d)
Third Degree Cubic
73.

Which of these is in Standard Form?

a)

4x2+12x13x34x^2+12x-13x^3  

b)

53x5-3x  

c)

2x412x2+5x92x^4-12x^2+5x-9  

d)

5x5+4x4+12x323x+155x^5+4x^{\text{4}}+12x^3-23x+15  

74.
Identify the degree of the monomial:
8a3
a)
8
b)
1
c)
3
d)
11
75.
Identify the degree of:
2b8c2
a)
10
b)
8
c)
2
d)
16
76.
Is the following written in standard form:
c + 8c3 - 3c7
a)
yes
b)
no
77.
Identify the constant term:
4x3 + 2x - 9
a)
4
b)
-2
c)
-9
d)
9
78.
How many terms does this expression have:
-27a3 + 9a2 - 45a
a)
what are terms?
b)
0 terms
c)
-45 terms
d)
3 terms
79.

A polynomial that has one term is a:

a)
polynomial
b)
monomial
c)
binomial
80.

Simplify:

5a(a2 + 3a - 4 )

a)

5a2 + 15a - 20

b)

5a3 - 15a2 + 20a

c)

5a3 + 15a2 - 20a

d)

5a2 - 15a + 20

81.

Multiply: 3m2n ( 4m2 - 5n + 3 )

a)

3m4n - 15m2n2 + 9m2n

b)

12m4n - 15m2n2 + 9m2n

c)

12m2n + 15m2n2 - 9m2n

d)

4m4n - 5m2n2 + 3m2n

82.

Multiply:

(4a + 5 )( 5a - 7 )

a)

20a - 35

b)

20a + 35

c)

20a2 - 3a - 35

d)

20a2 + 3a - 35

83.

Multiply:

( 7x - 10 ) ( 2x - 5 )

a)

14x2 + 50

b)

14x2 - 50

c)

14x2 - 55x + 50

d)

14x2 - 55x - 50

84.

Multiply:

( 4m - 3 ) ( 4m - 3 )

a)

16m2 - 24m + 9

b)

16m2 - 12m + 9

c)

16m2 + 9

d)

16m2 - 9

85.

What is the product of ( 8p + 11 )( 8p - 11 )?

a)

8p2 - 22

b)

16p2 - 22

c)

64p2 - 121

d)

64p2 - 88p - 121

86.

Multiply:

( 2x + 3 ) ( 4x2 - 6x + 9 )

a)

8x2 - 12x + 27

b)

8x3 - 12x2 - 27

c)

8x3 - 27

d)

8x3 + 27

87.

Multiply: ( 4k + 3 )( 3k2 - 3k + 1 )

a)

12k3 - 3k2 - 5k + 3

b)

12k3 + 3k2 + 5k - 3

c)

12k3 + 3k2 - 5k + 3

d)

12k3 - 3k2 - 5k - 3

88.

Multiply:

( 5b - 4 ) ( 25b2 +20b + 16 )

a)

25b2 - 40b + 16

b)

25b2 + 40b - 16

c)

125b3 + 64

d)

125b3 - 64

89.

Which expression represents "the product of a number g and 8" ?

a)

g+8g+8  

b)

g8g-8  

c)

8g8g  

d)

8÷g8\div g  

90.

In the expression x2+6x+9x^2+6x+9  , which is the coefficient?

a)

2

b)

6

c)

9

d)

x

91.

In the expression 5y+r+6+75y+r+6+7  , how many terms are there?

a)

1

b)

2

c)

3

d)

4

92.

Which expression represents "the difference of a number y and 6" ?

a)

y6y-6  

b)

y6\frac{y}{6}  

c)

6+y6+y  

d)

6y6-y  

93.

Samantha has 3 more than 4 times as many books as Deanna. If Deanna has d books, how many books does Samantha have?

a)

3d+43d+4  

b)

3d43d-4  

c)

4d+34d+3  

d)

4d34d-3  

94.

Which represents the sum of 8 and a number split into 3 equal groups?

a)

83\frac{8}{3}  

b)

3(n+8)3\left(n+8\right)  

c)

n(8+3)n\left(8+3\right)  

d)

n+83\frac{n+8}{3}  

95.

Which expression is equivalent to 4t+3t4t+3t  ?

a)

7t27t^2  

b)

7+2t7+2t  

c)

7t7t  

d)

12t12t  

96.

Which expression is equivalent to b +b+b+bb\ +b+b+b  ?

a)

4b4b  

b)

b+4b+4  

c)

b4b^4  

d)

b4b-4  

97.

Which expression is equivalent to 7(3+g)7\left(3+g\right)  ?

a)

21+g21+g  

b)

21+7g21+7g  

c)

10g10g  

d)

21g21g  

98.

Which expression is equivalent to 12x+20y12x+20y  ?

a)

3(4x+7y)3\left(4x+7y\right)  

b)

4(3x+5y)4\left(3x+5y\right)  

c)

6(2x+3y)6\left(2x+3y\right)  

d)

12(x+8y)12\left(x+8y\right)  

99.

What is the value of the expression xyy3xy-y^3   when x=6x=6  and y=2y=2  ?

a)

4

b)

15

c)

54

d)

1000

100.

Evaluate 2a2+3b4a2a^2+3b-4a  when a=6a=6  and b=4b=4  

a)

12

b)

20

c)

48

d)

60

101.

Evaluate c22c÷d3+10c^2\cdot2c\div d^3+10  when c=8c=8  and d=4d=4  

a)

14

b)

26

c)

656

d)

4106

102.

Evaluate 2eff2+4e2ef-f^2+4e   when e=10e=10  and f=6f=6  

a)

124

b)

144

c)

148

d)

13,036

103.

Evaluate g2÷(4h)g^2\div\left(4\cdot h\right)   when g=12g=12  and h=4h=4  

a)

1.5

b)

9

c)

12

d)

144

104.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
105.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
106.
n +10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n + 7
107.
2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
108.
Combine like terms
3x + 2x + 11y - 7y
a)
5x + 10y
b)
5x - 4y
c)
5x + 4y
d)
5x -10y
109.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
110.
6y+3y+9y+7y
a)
25
b)
10
c)
19
d)
25y
111.

30y+23y

a)
12
b)

53y

c)
30 + 23 - 15
d)
53y - 15
112.
2x+3x-5
a)
5x-5
b)
5x
c)
0
d)
6x - 5