WorksheetsPolynomials and Exponents Review
Total questions: 30
Worksheet time: 2hrs 30mins
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.
The length of a rectangle is 4a4b5 and the width is 3a2b3, what is the area of the rectangle?
a)
12a6b8
b)
7a6b8
c)
12a8b15
d)
1a2b2
6.
The area of a rectangle is 36x6y4 square units. What is the length if the width is 9x2y3?
a)
27x3y4/3
b)
27x4y
c)
4x8y7
d)
4x4y
7.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
8.
(2ab)3
a)
8a3b3
b)
2ab3
c)
6a3b3
d)
6ab
9.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
10.
Find the difference.
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
a)
-3p2 + 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 -3p2 +16p + 10
d)
4p3 +3p2 + 16p - 10
11.
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
12.
Simplify 2a0.
a)
0
b)
1
c)
2
d)
2a
13.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
17.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
18.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
19.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
20.
a)
7z7/43
b)
7z12/4
c)
73z12/43
d)
7z12/43
21.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
22.
Simplify -4x0
a)
-4x
b)
-4
c)
1
d)
-1
23.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
24.
Which polynomial is written in standard form?
a)
8x - 11x2
b)
4x3 + 7x - 9
c)
12 + 4x
d)
13x + 7x2 - 9x3 + 12
25.
This is a polynomial with two terms.
a)
Binomial
b)
Trinomial
c)
Monomial
d)
Quantic
26.
Write with positive exponents:
a)
a−2
b)
a2
c)
1/a1
27.
Simpliy: 3x2+5x2
a)
8x
b)
2x2
c)
8x2
d)
2x
28.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
29.
What is the Perimeter?
a)
3x - 3 inches
b)
6x - 6 inches
c)
3x - 6 inches
d)
6x - 3 inches
30.
Factor completely:
20a3 + 8a2
20a3 + 8a2
a)
A
a(20a2 + 8a)
a(20a2 + 8a)
b)
B
2a2(10a2 + 4)
2a2(10a2 + 4)
c)
C
4a2(5a + 2)
4a2(5a + 2)
d)
D
4a(5a2 + 2a)
4a(5a2 + 2a)
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