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WorksheetsPolynomial Operations With Exponent
Total questions: 27
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
3.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
4.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
5.
Use exponent rules to simplify the expression.
a)
a
b)
b
c)
c
d)
d
6.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
7.
Use exponent rules to simplify the expression.
a)
a
b)
b
c)
c
d)
d
8.
Use Exponent rules to simplify the expression.
a)
a
b)
b
c)
c
d)
d
9.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
10.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
11.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
12.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
13.
Simplify -90
PARENTHESIS MATTER!
PARENTHESIS MATTER!
a)
1
b)
-1
c)
-9
d)
9
14.
Simplify (-9)0
a)
-9
b)
-1
c)
1
d)
9
15.
Multiply the polynomials. (4x+3)(x3+8)
a)
4x4+32x+3x3+24
b)
5x4+28+32x
c)
12x+8x3
d)
5x3+12x+3x3+11
16.
Multiply the polynomials. (10x+5x)(x2+3)
a)
10x+5x+x2+3
b)
15x+3x2
c)
10x3+45x+5x3
d)
20x2+15x
17.
Multiply the binomials. (3r-4)(7r-5)
a)
21r2-43r+20
b)
21r+43r2+9
c)
7r+12r
d)
r+2r
18.
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
19.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 4y2 - y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
20.
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
21.
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
22.
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
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.
(x + 7)2
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
25.
Given the polynomial below, state the constant term:
5x3y2 + x +789
5x3y2 + x +789
a)
5
b)
x
c)
5x3y2
d)
789
26.
Divide the Polynomial by the Monomial
a)
a
b)
b
c)
c
d)
d
27.
Divide the Polynomial by the Monomial
a)
a
b)
b
c)
c
d)
d
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