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Worksheets

Polynomials M9

Total questions: 22

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

 50x  30y +40z10\frac{50x\ -\ 30y\ +40z}{10}  

a)

 5x  3y + 4z5x\ -\ 3y\ +\ 4z  

b)

 5  3  45\ -\ 3\ -\ 4  

c)

 5x + 4y + 3z5x\ +\ 4y\ +\ 3z  

d)

 40x  20y  30z40x\ -\ 20y\ -\ 30z  

2.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
3.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9
4.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
5.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
6.
Classify by number of terms:
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
7.

What is the constant of this polynomial?

2x3-8x2+3x-7

a)

2

b)

-8

c)

3

d)

-7

8.
Which pair is an example of like terms?
a)
2a and 2b
b)
x and x2
c)
3k and 3k3
d)
y2 and 2y2
9.
Find the sum.
(8u3 + 2u2 + 7) + (3u3 – 7u2 + 8u)
a)
11u3 – 7u2 + 2u – 15
b)
11u3  5u2 + 8u + 7
c)
15 – 7u + 2u2 + 11 u3
d)
5u3 + 2u2 – 7u + 15
10.
Simplify:
a)
9n3 + 4n
b)
7n+ 6
c)
-3n+ 2
d)
7n6 + 6
11.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
12.
Given the polynomial below, state the constant term:
5x3y+ x +789
a)
5
b)
x
c)
5x3y2
d)
789
13.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

14.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
15.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

16.

Classify by number of terms:

3x2 – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

e)

Constant

17.
Classify by number of terms:
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
18.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

19.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

20.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
21.
Determine the simplified form of the expression 5(3x + 2)
a)
3x + 10
b)
15x + 10
c)
15x - 10
d)
3x - 10
22.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9