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WorksheetsClassifying, Adding and Subtracting Polynomials
Total questions: 15
Worksheet time: 56mins
Name
Class
Date
1.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
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.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
4.
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
5.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
6.
Find the sum.
(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
7.
Subtract: (2a2 + 5a + 3) -(a2 - 3a - 4)
a)
3a2 + 2a - 1
b)
a2 + 8a + 7
c)
3a2 + 8a + 7
d)
a2 + 2a - 1
8.
Combine like terms:
8x3y + 3x2y + 4xy + 5x2y + 2xy + 7x2y
a)
8x3y + 8x2y + 2xy
b)
11x3y + 15x2y + 8xy
c)
8x3y + 15x2y + 6xy
d)
23x2y + 6xy
9.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
10.
Classify by the DEGREE:
3x - 2
3x - 2
a)
1
b)
2
c)
3
d)
4
11.
What is the degree classification of this polynomial?
x²+4x-8
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
12.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
13.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
14.
Classify the polynomial by its degree.
x2 + 2x3 - 4
x2 + 2x3 - 4
a)
A
binomial
binomial
b)
B
trinomial
trinomial
c)
C
quadratic
quadratic
d)
D
cubic
cubic
15.
Classify the polynomial by its number of terms.
4x² - 2
4x² - 2
a)
A
monomial
monomial
b)
B
binomial
binomial
c)
C
trinomial
trinomial
d)
D
polynomial
polynomial
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