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Worksheets

waheed elg 1

Total questions: 138

Worksheet time: 6hrs 7mins

Name
Class
Date
1.

factor 10x2y – 30xy2

a)

xy(10 - 30)

b)

10xy(x - 3y)

c)

10x2y(3y)

d)

10xy2(x)

2.

Which of the factor is the factor of 14x2-35x?

a)

7x(2x-5)

b)

x(x-35)

c)

14x(x-35)

d)

x(14x-35)

3.

WHAT IS THE FACTOR OF 9X+45?

a)

9X

b)

9X(1+ 5)

c)

9(X+5)

d)

9(X+45)

4.

What is the factor of 6x2-24x?

a)

6x(x-4)

b)

6x(x-24x)

c)

6(x2-24x)

d)

6x2(1-24x)

5.

Find the fators of 10x3 + 2x2 + 4x

a)

10(x3 + 2x2 + 4x)

b)

10x(x2 + 2x + 4)

c)

x(10x2 + 2x + 4)

d)

2x(5x2 + x + 2)

6.

Factor 3x2 + 6x + 4x + 8

a)

(x+2)(3x+4)

b)

(x -2)(4x+ 3)

c)

(x+2)(3x - 4)

d)

(x+2)(2x+3)

7.

Factor 2x (x+4) +3 (x+4)

a)

(x + 4) (3x + 2)

b)

(x + 4) (2x - 3)

c)

(x + 4) (5)

d)

(x + 4) (2x + 3)

8.

Factor 6x5 – 15x4 – 21x3 + 27x2

a)

3x2(2x3 + 5x2 + 7x + 9)

b)

3x2(2x3 - 5x2 - 7x + 9)

c)

3x2(2x3 - 5x2 - 7x - 9)

d)

3x (2x4 - 5x3 - 7x2 + 9x)

9.

18x4y5 + 36x3y7

a)

18xy (x3y4+ 2x2y6)

b)

18x3y7 (x + 2y)

c)

18x3y5 (x + 2y2)

d)

18x3y (x + 2y)

10.

Factor 36x4 – 42x2

a)

6x2(6x2 - 7)

b)

6x(6x2 - 7x)

c)

6x2(6x - 7)

d)

6(6x4 - 7x2)

11.

Factor 9y3 - y2 - y

a)

9(y3 - y2 - y)

b)

y(9y2 - y - 1)

c)

1(9y3 - y2 - y)

d)

y(9y2 - y - y)

12.

Factor 6x + 10

a)

3(2x + 5)

b)

2(3x + 5)

c)

2(3x - 5)

d)

-2(3x + 5x)

13.

Factor 8x + 4y + 12

a)

4x(2 + y + 3)

b)

4xy(2 + y + 3)

c)

4(2 + y + 3)

d)

4(2x + y + 3)

14.

Find the common factor of 21x3 - 14x2 + 63x

a)

7x

b)

7x2

c)

7

d)

-7x3

15.
What is the greatest common factor of 20a2b2 and 50b3?
a)
100a2b2
b)
10b3
c)
10ab2
d)
10b2
16.

Factor using GCF or monomial factoring:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n)

c)

2n3(10-8n2)

d)

3n(1-4n)

17.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

18.

Factor using GCF or monomial factoring:

x2 - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x2(1 - 5)

19.

Expand (x-2)(x-3)

a)

x2 - 6x + 5

b)

x2 - 6x - 5

c)

x2 - 5x - 6

d)

x2 - 5x + 6

20.

Find the GCF of the terms of each polynomial.

72y5 + 18y2

a)

y2

b)

4y5

c)

18y

d)

18y2

21.

What is the GCF of the terms below?


24x3 + 36x2

a)

8x

b)

6x2

c)

12x2

d)

4x

e)

12x3

22.

Factor using GCF or monomial factoring:

w3 + 3w

a)

3w(1)

b)

w(w2 + 3)

c)

w3(w + 3)

23.

Which is a common factor of 12x and 27?

a)

x

b)

12

c)

3

d)

9

24.
Factor out the GCF:
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
25.
3x(2x2 + 9x + 6)
a)
6x3 + 27x2 + 18x
b)
6x3 + 18x2 + 9
26.
Multiply.
-3x2(7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
27.
-6y(y5 + 8y)
a)
-6y6 - 48y2
b)
-6y6 - 48
28.
7y(5y2 + 2y + 3)
a)
35y3 + 14y2 + 21y
b)
12y3 + 14y2 + 21y
29.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
30.
multiply: -6(x - 3)
a)
-6x + 18
b)
-6x - 3
c)
-6x + 3
d)
-6x - 18
31.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
32.
Simplify the expression.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
33.

-5x6(3x2 - 12x + 30)

a)

-15x8 + 60x7 - 150x6

b)

15x8 - 60x7 - 150x6

c)

8x6 - 17x + 35

d)

-8x6 + 17x - 35x2

34.
Simplify:
2x (-2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
35.
Multiply.
-3x2(7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
36.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
37.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
38.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
39.

Use Distributive Property to solve.

x3(2x2+3x)

a)

2x5+3x4

b)

2x6+3x3

c)

5x9

d)

5x

40.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
41.

Determine the area of the rectangle. Simplify the expression.

a)

22x3y222x^3y^2

b)

8x+148x+14

c)

8x2y+14xy8x^2y+14xy

42.

Determine the area of the rectangle.  Simplify your expression.

a)

25x−2025x-20

b)

25x2−20x25x^2-20x

c)

5x5x

43.

Simplify:  4k2(6k2+9kn−5n2)4k^2\left(6k^2+9kn-5n^2\right)  

a)

 24k4+36k3n−20k2n224k^4+36k^3n-20k^2n^2  

b)

 24k2+36kn−20n224k^2+36kn-20n^2  

c)

 24k2+36k3−20n224k^2+36k^3-20n^2  

44.

Simplify:  6h(5h2−2hz−4z2)6h\left(5h^2-2hz-4z^2\right)  

a)

 30h3−12h2z−24hz230h^3-12h^2z-24hz^2  

b)

 30h3−12h2−24h30h^3-12h^2-24h  

c)

 30h2−12hz−24z230h^2-12hz-24z^2  

45.

Simplify:  −3x2(7x2−x+4)-3x^2\left(7x^2-x+4\right)  

a)

 21x3−3x2+1221x^3-3x^2+12  

b)

 −21x4+3x3−12x2-21x^4+3x^3-12x^2  

c)

 21x4−12x3+3x221x^4-12x^3+3x^2  

46.

Simplify:  5x(4x3+8)−4x5x\left(4x^3+8\right)-4x  

a)

 20x4+36x20x^4+36x  

b)

 20x4−36x20x^4-36x  

c)

 20x3+40x−4x20x^3+40x-4x  

47.

Simplify:  3a(5a2+8a+2)3a\left(5a^2+8a+2\right)  

a)

 15a3+24a+615a^3+24a+6  

b)

 15a2+24a+615a^2+24a+6  

c)

 15a3+24a2+6a15a^3+24a^2+6a  

48.

Simplify:  5xy(6x−y)5xy\left(6x-y\right)  

a)

 30x2−5y230x^2-5y^2  

b)

 30x2y−5xy230x^2y-5xy^2  

c)

 30xy−5xy30xy-5xy  

49.
4m(3m7 + 2m5)
a)
7m7 + 6m6
b)
12m8 + 8m6
50.

Multiply

a)
b)
c)
d)
51.

Multiply

a)
b)
c)
d)
52.
3a(5a2 + 8a + 2)
a)
15a3 + 24a2 + 6a
b)
10a3 + 24a + 6
53.

Multiply

a)
b)
c)
d)
54.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
55.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
56.
Simplify:
a)
-5a6 - 5a4
b)
-3a3  - 1a2
c)
-2a3  - 6a2
d)
5a3 - 5a2
57.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
58.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
59.
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 
60.
Solve the following problem.
(3x - 4) + (12x + 10)
a)
x - 12
b)
15x + 6
c)
36x + 40
d)
17x + 9,000
61.

Simplify:

5(3x+2) + (2x - 3)

a)

15x+10

b)

17x+7

c)

15x+7

d)

17x+13

62.

Find the Sum:

(4x - 2x3) + (5x3 - 4x + 5)

a)

3x3 + 5

b)

3x3 + 8x + 5

c)

3x2 + 5

d)

7x3 + 8x + 5

63.
When adding or subtracting polynomials we add / subtract the _____________________________.
a)
Exponents
b)
Polynomials
c)
Coefficients
d)
All of the above
64.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
65.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
66.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
67.
a)
A
b)
B
c)
C
d)
D
68.
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
69.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
70.
What is the standard form of the polynomial,
 9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
71.
Expand: (3y + 2)2
a)
9y2 + 12y + 4
b)
3y2 + 6y + 4
c)
9y2 + 6y + 4
d)
9y2 + 4
72.
Expand: (2x - 3)2
a)
2x2 - 12x - 9
b)
4x2 - 9
c)
4x2 + 9
d)
4x2 - 12x + 9
73.
Expand: (x + 2)2
a)
x2 + 4
b)
x2 + 2x + 2
c)
x2 + 4x + 2
d)
x2 + 4x + 4
74.
-x (4 + 5y)
a)
-4x + 5xy
b)
4x + 5xy
c)
-4x - 5xy
d)
4x - 5xy
75.
3x (2 + x)
a)
- 6x - 3x2
b)
- 6x + 3x2
c)
6x - 3x2
d)
6x + 3x2
76.
Simplify: (x + 3) (x + 2)
a)
x2 + 6x + 5
b)
x2 + 5
c)
x2 + 11
d)
x2 + 5x + 6
77.
Simplify: (x - 5) (x - 3)
a)
x2 + 8x + 15
b)
x2 - 2x - 15
c)
x2 - 8x + 15
d)
x2 - 2x + 15
78.
Simplify: (2x + y)(2x - y)
a)
4x2 - y2
b)
4x - y
c)
4x2 + y2
d)
2x2 - y2
79.
Simplify: (5x - 2) (3x + 1)
a)
15x2 - 11x - 2
b)
15x2 - x - 2
c)
15x2 + x - 2
d)
15x2 - 8x - 2
80.
Simplify: (2a - 3) (3a + 1)
a)
6a2 + 7a - 3
b)
6a2 + 5a - 3
c)
6a2 - 7a - 3
d)
6a2 - 9a + 3
81.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
82.
4k2(6k2 + 9kq - 5q2)
a)
24k2 + 36k3q - 20k2q2
b)
24k4 + 36kq - 20k2q2
c)
24k4  + 36k3q - 20k2q2
d)
24k + 36 kq - 20 k2q
83.
Simplify:
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
84.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
85.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

86.
(-4a)(3abc)
a)
-12abc
b)
-12bc
c)
-4a2bc
d)
-12a2bc
87.
2n4 * 6n4
a)
8n4
b)
12n8
c)
8n16
d)
none of the above
88.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
89.
(3c2)(10c7)
a)
13c9
b)
30c5
c)
30c9
d)
-30c9
90.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
91.
Expand:
 (x - 2y)3
a)
x3 - 8y3
b)
x2 - 4xy + 4y2
c)
x3 + 6x2y + 12xy2 + 8y3
d)
x3 - 6x2y + 12xy2 - 8y3
92.
Classify.
3x2+4x-7
a)
Quadratic trinomial
b)
linear binomial
c)
Quartic trinomail
d)
Linear Trinomail
93.
Simplify.
(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 
94.
Simplify.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
95.
Simplify.
(4x3-5x2+3x) + (-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
96.
Simplify.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
97.
Simplify.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
98.
Simplify.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
99.
Simplify.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
100.
Simplify.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
101.
Simplify.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
102.
Simplify.
(3x + 1)(2x + 5)
a)
6x2 + 17 + 5
b)
6x + 17x + 5
c)
6x2 + 17x + 5
d)
6x2 + 17 + 5x
103.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
104.

Simplify and put in standard form:

x + y - 7xy + x - 3xy

a)

2x + y - 10xy

b)

-10xy + 2x + y

c)

-10xy + y

d)

-10xy + x + y

105.
What is the degree of this term?
-7xyz2
a)
3
b)
4
c)
-7
d)
7
106.
What is the degree of the polynomial 17x + 4
a)
0
b)
1
c)
2
d)
3
107.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
108.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
109.

Classify this polynomial by number of terms: 3x4 + 2x2 + 5x ?

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

110.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
111.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
112.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
113.

Calculate the mean:

36, 47, 35, 28, 23, 32, 49, 46

a)

37

b)

32.8

c)

42.2

d)

29.6

114.

Calculate the mean:

57, 32, 45, 38, 42, 54, 51, 39, 47, 43, 36, 56

a)

54

b)

49

c)

60

d)

45

115.

Calculate the mean:

95, 88, 79, 93, 82, 90, 94, 85, 91, 83

a)

80

b)

97.7

c)

88

d)

73

116.

Calculate the mean:

19, 23, 26, 22, 31, 33, 29, 21, 30

a)

23.4

b)

21

c)

29.3

d)

26

117.

Calculate the mean:

61, 45, 52, 48, 53, 49, 57, 46, 60, 54, 58

a)

49

b)

53

c)

64.7

d)

58.3

118.

Calculate the mean:

25, 36, 34, 17, 22, 31, 38

a)

25.3

b)

29

c)

40

d)

33.8

119.

Calculate the mean:

54, 38, 52, 51, 49, 46, 39, 53, 47, 42, 52, 41

a)

47

b)

43.4

c)

51.3

d)

50

120.

Calculate the mean:

81, 69, 72, 80, 67, 62, 78, 74, 71, 86

a)

82.2

b)

92

c)

67.2

d)

74

121.

Calculate the mean:

23, 15, 8, 12, 26, 5, 22, 9

a)

17.1

b)

15

c)

13.3

d)

12

122.

Find the mode of:

3, 5, 9, 11, 7

a)

No mode

b)

9

c)

10

d)

25.4

123.
What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7
a)
7
b)
20
c)
7 & 14
d)
none of the above
124.

What is the mode of the following data set?

5, 7, 7, 8, 12 , 12, 5, 6, 13, 12

a)

5

b)

7

c)

12

d)

no mode

125.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
126.
What is the mode?
a)
The average
b)
The number that appears most often.
c)
The largest number - the smallest number
d)
The number in the middle.
127.
Find the range.
5, 15, 10, 20, 15, 10, 15
a)
5
b)
10
c)
15
d)
13
128.
Find the mode.
5, 15, 10, 20, 15, 10, 15
a)
10
b)
15
c)
20
d)
5
129.

The mode of the tools pen, ruler, pen, rubber, ruler, pen, rubber, rubber, pen, pen is the tool pen.

a)

TRUE

b)

FALSE

130.

The mode of the values 2,3,8,2,9 is 2.

a)

TRUE

b)

FALSE

131.

The mode of a set of data is the most common values (data).

a)

TRUE

b)

FALSE

132.

If the mode of the values  a+2a+2  , a+1a+1  , a+3a+3  , a+2a+2  equals 12, then a=10.

a)

TRUE

b)

FALSE

133.

If the mode of the values 15, 9,  x+1x+1  , 9, 15 is 9, then x=8.

a)

TRUE

b)

FALSE

134.

If the mode of the values

 13,17,15,17\frac{1}{3},\frac{1}{7},\frac{1}{5},\frac{1}{7}  is  1x\frac{1}{x}  , then x=7.

a)

TRUE

b)

FALSE

135.

If the mode of the values 4, a, 5, 3 is 3, then a=3.

a)

TRUE

b)

FALSE

136.

The mode of the colours red, yellow, red, white, black, red, white is the red colour.

a)

TRUE

b)

FALSE

137.

The mode of the values 8,11,5,8,4,5,4,11,4 is 4.

a)

TRUE

b)

FALSE

138.

The mode of the values 14,11,12,11,14,15,11 is 11.

a)

TRUE

b)

FALSE