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WorksheetsExponents and polynomials
Total questions: 23
Worksheet time: 1hrs 17mins
Name
Class
Date
1.
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
2.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
3.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
4.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
5.
Simplify
(16x4y-5) / (8a3b-8)
(16x4y-5) / (8a3b-8)
a)
(a3y5) / (2x4b8)
b)
(2x4b8) / (a3y5)
c)
(8x4b8) / (a3y5)
d)
2x4b8a3y5
6.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
7.
(2ab)3
a)
8a3b3
b)
2ab3
c)
6a3b3
d)
6ab
8.
(2x+6)(2x-6)
a)
4x2+24x-36
b)
6x+12
c)
4x2 - 36
d)
2x+6+2x-6
9.
(7r+5)(5r+3)
a)
35r2+46r+15
b)
12r + 8
c)
78r3+15
d)
12r2+ 20r + 8
10.
(8y+5)2
a)
642 + 36
b)
16y2+ 25
c)
64y2 + 80y + 25
d)
16y + 10
11.
Find the difference.
(3 - 2x + 2x2) - (4x - 5 + 3x2)
(3 - 2x + 2x2) - (4x - 5 + 3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
12.
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
13.
Classify by number of terms:
3x3 – 6x
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
14.
Classify by number of terms:
2x – 9
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
15.
Classify by degree and number of terms:
9x
a)
1st degree (linear) Monomial
b)
1st degree
(linear)
Binomial
c)
0th degree (constant) Monomial
d)
0th degree (Constant)
Quadratic
16.
I am a degree 4 binomial:
a)
2x2y + 5xy2
b)
3x4-2yx+5
c)
xyz+4xyz2
d)
7x2y2
17.
Classify the name and degree of the polynomial:
x3y2 + 5x4 -2x4y3
a)
5th degree trinomial
b)
4th degree polynomial
c)
7th degree trinomial
d)
6th degree trinomial
18.
Simplify: (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
19.
Simplify: 7p0
a)
7
b)
1
c)
simplified
d)
7p
20.
According to exponent rules, when we multiply two powers with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
21.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
22.
Simplify so there are no negative exponents in the answer.
a)
x5
b)
x181
c)
−x5
d)
x151
23.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
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