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WorksheetsAdding and Subtracting Polynomials
Total questions: 20
Worksheet time: 48mins
Name
Class
Date
1.
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
2.
Combine like terms.
6x + 3 - 2x + 5
a)
8x + 8
b)
4x + 9
c)
8x + 8
d)
4x + 8
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.
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
5.
What is the correct name of the following:
3x + 5y2 - 3
3x + 5y2 - 3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
6.
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
7.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
8.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
9.
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
10.
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
11.
Classify by number of terms:
3x3 – 6x
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
12.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
13.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
14.
Classify by degree of polynomial:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
15.
Classify by degree of polynomial:
12
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
16.
Classify by degree of polynomial:
9x
9x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
17.
Classify by number of terms:
9x
9x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
18.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
19.
Subtract: (2a2 + 5a + 3) -(a2 - 3a - 4)
a)
3a2 + 2a - 1
b)
a2 + 8a + 7
c)
3a2 + 8a + 7
d)
a2 + 2a - 1
20.
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
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