WorksheetsAlgebra B: Adding and Subtracting Polynomials
Total questions: 16
Worksheet time: 17mins
Name
Class
Date
1.
How many terms are in the following polynomial?
3x3 - 2y + 8x -16
3x3 - 2y + 8x -16
a)
1
b)
2
c)
4
d)
-16
2.
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
3.
What is the degree of this polynomial?
4xy2 + 3x - 5
4xy2 + 3x - 5
a)
2
b)
3
c)
4
d)
5
4.
What is the degree of this term?
-7xyz2
-7xyz2
a)
3
b)
4
c)
-7
d)
7
5.
What is the constant in the polynomial?
-2xyz + 3x2 - 2y2 - 6z2 + 32
-2xyz + 3x2 - 2y2 - 6z2 + 32
a)
-2
b)
3
c)
-6
d)
32
6.
What is the correct name of the following:
3x + 5y2 - 3
3x + 5y2 - 3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
7.
What is the correct name of the following:
3xy + 4x + 5y + 6
3xy + 4x + 5y + 6
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
8.
What is the degree of this polynomial?
52a2bc - 2a3b2 + 4
52a2bc - 2a3b2 + 4
a)
2
b)
4
c)
5
d)
52
9.
When adding or subtracting polynomials we add / subtract the _____________________________.
a)
Exponents
b)
Polynomials
c)
Coefficients
d)
All of the above
10.
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
11.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
12.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
13.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(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
14.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
15.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
16.
Simplify each 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
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