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WorksheetsUnit 5 Review - Polynomials
Total questions: 42
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
Simplify:
(10x+5)(x2+3)
(10x+5)(x2+3)
a)
10x+5x+x2+3
b)
15x+3x2
c)
10x3+5x2+30x+15
d)
20x2+15x
2.
Simplify:
(2x+3)2
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
3.
Simplify:
4a(5a2 - a + 4)
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
4.
Simplify the following polynomial expression:
3x(2x2 - 4x + 2) - (5x2 - 7x - 8)
3x(2x2 - 4x + 2) - (5x2 - 7x - 8)
a)
x2 - 19x - 2x
b)
6x3 - 19x2 + 13x + 8
c)
6x3 + 7x2 - 13x + 8
d)
5x3 - 19x2 - x - 8
5.
(3x2 + 6x - 1) + (4x2 + 5x + 9)
a)
-x2 + x - 10
b)
x2 - x + 10
c)
7x2 + 11x + 8
d)
7x2 + 11x + 10
6.
(3x2 + 4x - 2) - (5x + 7)
a)
3x2 - x - 9
b)
2x2 - 9
c)
3x2 + 9x - 5
d)
3x2 - x + 5
7.
Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)
(3x² - 3x + 2) - (-3x² + 2x - 1)
a)
A
0x² - x + 1
0x² - x + 1
b)
B
6x² - x + 1
6x² - x + 1
c)
C
6x² - 5x + 3
6x² - 5x + 3
d)
D
6x² + 5x + 3
6x² + 5x + 3
8.
Add:
(3x² - 3x + 2) + (x² - 2x + 1)
(3x² - 3x + 2) + (x² - 2x + 1)
a)
A
4x³-2x²+2
4x³-2x²+2
b)
B
4x² - 5x + 3
4x² - 5x + 3
c)
C
-2x³+2x+2
-2x³+2x+2
d)
D
4x³-2x²-2
4x³-2x²-2
9.
Simplify:
5(3x+2)
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
10.
Which of these is in Standard Form?
a)
4x2+12x−13x3
b)
5−3x
c)
2x4−12x2+5x−9
d)
5x5+4x4+12x3−23x+15
11.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
12.
According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
According to exponent rules, when we multiply exponential expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
5-3⋅54
a)
5,354
b)
5⁻¹
c)
5¹²
d)
5
16.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
17.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
18.
Simplify the expression.
1/w-5
1/w-5
a)
1/w5
b)
w5
c)
w-5
d)
1/w-5
19.
Simplify the expression.
(2mp)3
(2mp)3
a)
2mp3
b)
2m3p3
c)
6m3p3
d)
8m3p3
20.
Simplify the expression.
a5/b-3
a5/b-3
a)
a5/b3
b)
a5b3
c)
b3/a5
d)
a5b-3
21.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
22.
3.) Simplify
(45x6y2)/(5x4y9)
(45x6y2)/(5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
23.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
24.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
25.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
26.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
27.
Simplify, leaving answer with positive exponents.
a)
n²/5
b)
n⁸/5
c)
n⁶/5
d)
5n⁶
28.
a)
a-3
b)
a3
c)
3a
d)
1/a-3
29.
a)
a8
b)
a15
c)
a35
d)
a-2
30.
a)
a6b4
b)
a8b
c)
a8b4
d)
a2b4
31.
a)
b)
c)
d)
32.
a)
b)
c)
d)
33.
a)
b)
c)
d)
34.
a)
0
b)
1
c)
3
d)
31
35.
a)
0
b)
1
c)
3
d)
31
36.
a)
-0
b)
0
c)
-1
d)
-3
37.
a)
b)
c)
d)
38.
a)
b)
c)
d)
39.
a)
b)
c)
d)
40.
a)
b)
c)
d)
41.
Simplify. 9⋅95
a)
96
b)
95
c)
94
d)
815
42.
Simplify. (35)2
a)
310
b)
37
c)
38
d)
33
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