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Algebra 1 Unit 1 Adding and Subtracting Polynomials

Total questions: 13

Worksheet time: 3hrs 15mins

Name
Class
Date
1.
What is the degree of the polynomial function below?
y = x3 + 4x - 5
a)
3
b)
4
c)
5
d)
98.6
2.
What is the degree of the following function?
y = 25 - x2
a)
25
b)
1
c)
2
d)
-1
3.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
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.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
6.
Add the polynomials.
(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.
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
8.

Find the difference.

(3 - 2x + 2x2) - (4x -5 +3x2)

a)

x2 + 6x + 8

b)

2x2 + 5x - 7

c)

-x2 -6x + 8

d)

-2x2 + 11x - 4

9.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
10.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
11.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
12.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
13.
Classify by degree of polynomial:
7x3 – 8x2 + 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic