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WorksheetsAdding and subtracting polynomials
Total questions: 15
Worksheet time: 3hrs 52mins
Name
Class
Date
1.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
2.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
3.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
4.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
5.
Simplify the expression:
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
a)
-17v4 + 4v3 + 2v - 7
b)
-16v4 + 4v3 + 10v - 7
c)
-16v4 + 4v3 + 7v - 7
d)
-16v4 + 4v3 + 2v - 7
6.
Find the difference.
(x3 - x2 + 4) - (3x3 - 2x2 + 3)
(x3 - x2 + 4) - (3x3 - 2x2 + 3)
a)
-2x3 - 3x2 + 7
b)
-2x3 + x2 + 1
c)
2x3 - 3x3 - 1
d)
4x3 - 3x2 + 7
7.
Simplify.
(8u3 + 2u2 + 7) + (3u3 – 7u + 8)
a)
5u3 – 7u2 + 2u – 15
b)
5u3 + 2u2 – 7u + 15
c)
15 – 7u + 2u2 + 11 u3
d)
11u3 + 2u2 – 7u + 15
8.
Add the following polynomials:
(12x2 + 3x4 - 6x - 2) + (-3x4 + 5x + 9 - 7x2)
a)
5x2 - x + 7
b)
6x4 + 5x2 - x + 7
c)
6x4 + 5x2 - x + 11
d)
5x2 + 11x + 11
9.
Simplify.
(–7x – 5x4 + 5) – (–7x4 – 5 – 9x)
a)
2x4 + 2x + 8
b)
–14x4 – 10x + 10
c)
–14x4 + 10x + 10
d)
2x4 + 2x + 10
10.
Subtract the following polynomials:
(-5x2 + x3 - 2x + 3) - (-5x2 -x3 + 4x + 8)
a)
2x3 - 6x + 11
b)
2x3 - 6x - 5
c)
2x3 - 10x2 - 6x - 5
d)
- 10x2 - 6x - 5
11.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
12.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
13.
Distribute and simplify the following expression: 3(4m - 2) - 2(m + 5)
a)
14m - 16
b)
14m + 12
c)
36m + 3
d)
10m - 16
14.
Write and simplify an expression to represent the perimeter of the triangle shown.
a)
(4x + 3) ft
b)
(6x + 5) ft
c)
(5x - 3) ft
d)
(6x + 3) ft
15.
Find the perimeter of the following rectangle:
a)
10x - 4
b)
20x - 8
c)
5x
d)
25x2 - 20x
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