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WorksheetsAdding Polynomials
Total questions: 25
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
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
2.
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
3.
What is the degree of the polynomial 17x + 4
a)
0
b)
1
c)
2
d)
3
4.
What is the degree of the polynomial x2-2x+5?
a)
1
b)
2
c)
3
d)
0
5.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
6.
(5x - y) + (2x + 6y)
a)
7x + 7y
b)
7x + 5y
c)
7x + 6y
d)
3x - 5y
7.
What is the type of polynomial?
4x5 - 3x3
4x5 - 3x3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
8.
What is the type of polynomial?
½xy2
½xy2
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
9.
(3x2+xy-5y2) +
(2x2-xy+3y2)
(2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
10.
(3x2+xy-5y2) + (2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
11.
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
12.
Add the polynomials.
(2xy - 3x2 + 4y - 5) + (-3xy + 4y2 - 3y + 8)
(2xy - 3x2 + 4y - 5) + (-3xy + 4y2 - 3y + 8)
a)
-1xy - 3x2 + 4y2 + 1y + 3
b)
-1xy + 1x2 + 1y + 3
c)
-1xy + 1y2 + 1y + 3
d)
1xy + 3x2 + 4y2 + 1y + 3
13.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x2 +6y2 + 6z2
b)
4x + y + 6z
c)
-4x2 - y2 + 6z2
d)
-4x + y + 6z
14.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
15.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
16.
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
5b3 - 3 + 6b
a)
3rd degree binomial
b)
3rd degree monomial
c)
3rd degree trinomial
d)
1st degree polynomial
17.
Add the polynomial (-3x + 4) + (8x - 5)
a)
5x - 9
b)
5x - 1
c)
11x - 1
d)
11x - 9
e)
None of these
18.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
e)
None of these
19.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
e)
None of these
20.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
21.
Name and Classify the Polynomial:
x² − 4
x² − 4
a)
quadratic binomial
b)
quadratic monomial
c)
linear binomial
d)
linear monomial
22.
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
23.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
24.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
25.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
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