WorksheetsAdding and Subtracting Polynomials
Total questions: 17
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(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)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
3.
What is the type of polynomial 3x4 + 2x2 + 5x ?
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
4.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
5.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
6.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
7.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
8.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
9.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
10.
Add or Subtract to Simplify:
(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
11.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
12.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
13.
Simplify each Expression:
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
a)
-3p2 + 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
14.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
15.
How many terms are in the following polynomial?
7x - 125 - 6x3+ 14x2
7x - 125 - 6x3+ 14x2
a)
-125
b)
2
c)
3
d)
4
16.
How many terms are in the following polynomial?
3x3 - 2x + 8x -16
3x3 - 2x + 8x -16
a)
-16
b)
2
c)
3
d)
8
17.
The perimeter of the
triangle is 10x+20. Find the length of the missing side
triangle is 10x+20. Find the length of the missing side
a)
6x+10
b)
15x+30
c)
5x+10
d)
5x-10
100 %
