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WorksheetsQuiz: Adding, Subtracting, and Multiplying with Polynomials
Total questions: 29
Worksheet time: 2hrs 12mins
Name
Class
Date
1.
What is the type of polynomial 3x4 + 2x2 + 5x ?
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
2.
What is the type of polynomial?
4x5 - 3x3
4x5 - 3x3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
3.
What is the type of polynomial?
3xy2
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
4.
A polynomial with four or more terms is called a...
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
5.
6m + 3z + 4m + 2w - 5z
a)
10m + 2z -2w
b)
m + z + w
c)
10m - 2z + 2w
d)
2m - 2z + 2w
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.
Combine like terms to simplify:
5x + 2 + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
8.
(7x2 - 3x) + (5x2 + x + 3)
a)
12x2 - 2x + 3
b)
2x2 + 4x + 3
c)
12x4 + 2x2 + 3
d)
2x2 - 4x - 3
9.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
10.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
11.
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
12.
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
13.
Simplify the 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
14.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
15.
Simplify the 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
16.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
17.
Simplify:
2x ( -2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
18.
Use the FOIL method of multiplying binomials to simplify.
(x+2)(3x+1)
(x+2)(3x+1)
a)
4x + 3x2 +3
b)
3x2 - 7x +8
c)
4x2 + 9x + 33
d)
3x2 + 7x + 2
19.
Use the FOIL Method to find the product.
(n – 5)(3n – 4)
(n – 5)(3n – 4)
a)
4n3 - 22n + 30
b)
3n2 – 19n + 20
c)
4n2 + 19n - 20
d)
3n2 + 4n + 4
20.
Simplify each product using the FOIL method.
(2h + 6)(5h – 3)
(2h + 6)(5h – 3)
a)
10h2 + 24h–18
b)
12h + 19h + 23
c)
10h2 + 2h + 18
d)
-10j2 + 33h + 18
21.
Simplify the product using the FOIL method.
(x + 3)(x – 5)
(x + 3)(x – 5)
a)
x2 + 8x + 15
b)
x2 - 8x -15
c)
x2 – 2x – 15
d)
2x2 + 8x + 15
22.
Multiply.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
23.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
24.
Find the product:
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
25.
Find the product:
(3r-4)(7r-5)
(3r-4)(7r-5)
a)
21r2-43r+20
b)
21r+43r2+9
c)
7r+12r
d)
r+2r
26.
Find the product:
(x + 7)2
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
27.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
28.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
29.
Simplify:
(x - 7)(x + 7)
(x - 7)(x + 7)
a)
x2 + 7x - 49
b)
x2 - 7x + 49
c)
x2 - 49
d)
x2 + 49
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