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Polynomials: Adding and Subtracting

Total questions: 10

Worksheet time: 44mins

Name
Class
Date
1.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
2.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x+ 2x - 2
c)
5x2
d)
5x2 + 6x + 8
3.
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
4.
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
5.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
6.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
7.

(2n3 - 3n4 + 7n) - (n3 - 8n4 - 7n)

a)

5n4 + n3 + 14n

b)

n3 + 7n

c)

5n4 + n3 + 6n

d)

3n4 - 11n3

8.

(3x4 - 6x3 + 2x -1) - (3x4 - 5x3 + 2x2 -8x -9)

a)

6x4 -11x3 + 4x2 - 10

b)

-x3 -2x2 +10x + 8

c)

11x3 + 4x2 + 8

d)

-x3 - 4x2 + 8

9.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

10.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4