NEW
Font size
S
M
L
XL
WorksheetsUnit 4 - Exponents, Radicals, and Polynomials
Total questions: 53
Worksheet time: 2hrs 29mins
Name
Class
Date
1.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
2.
Simplify
(16x4y-5) / (8a3b-8)
(16x4y-5) / (8a3b-8)
a)
(a3y5) / (2x4b8)
b)
(2x4b8) / (a3y5)
c)
(8x4b8) / (a3y5)
d)
2x4b8a3y5
3.
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
4.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
5.
(3r-4)(7r-5)
a)
21r2 - 43r + 20
b)
21r + 43r2 + 9
c)
7r+12r
d)
r+2r
6.
(3r-4)(7r-5)
a)
21r2 - 43r + 20
b)
21r + 43r2 + 9
c)
7r+12r
d)
r+2r
7.
(2x+6)(2x-6)
a)
4x2+24x-36
b)
6x+12
c)
4x2 - 36
d)
2x+6+2x-6
8.
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
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.
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
11.
Explain the error in the simplification below:
x3yx-4z-2=x-1yz-2
x3yx-4z-2=x-1yz-2
a)
Should have multiplied the x exponents.
b)
Should have subtracted the x exponents.
c)
Should have moved the negative exponents to the bottom of a fraction.
d)
There is no error.
12.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
13.
To factor x2+5x+4, we need to find two numbers that...
a)
multiply to be 4.
b)
multiply to be 5 and add to be 4.
c)
add to be 5.
d)
multiply to be 4 and add to be 5.
14.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
15.
a)
7z7/43
b)
7z12/4
c)
73z12/43
d)
7z12/43
16.
Simplify (-8)-2
a)
1/(-8)2
b)
1/82
c)
64
d)
-64
17.
a)
5z5
b)
5/z5
c)
1/5z5
d)
1/5z-5
18.
The square root of 36x2 is __________
a)
6
b)
6x
c)
4x
d)
6x2
19.
The square roots of all perfect squares are___________?
a)
integers or whole numbers
b)
irrational
c)
fractions
d)
divisible by 2
20.
The square roots of all non-perfect squares are________?
a)
irrational
b)
non-terminating, non-repeating decimals
c)
both are correct
d)
none are correct
21.
Simplify
√98b
√98b
a)
√98
b)
9√9b
c)
7√2b
d)
7√8b
22.
Which is NOT equivalent to (16y)¾
a)
∜16y3
b)
8y¾
c)
16¾y¾
d)
8∜y3
23.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
24.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7⅓
d)
27
25.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
26.
Is the sequence geometric or arithmetic?
6, 18, 54...
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
27.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
28.
Write the recursive form for the sequence:
200, 150, 112.5...
200, 150, 112.5...
a)
f(1)=200, f(n)=f(n-1)0.75
b)
f(200), f(n)=f(200)0.75
c)
f(1), f(n)=f(n-1)75
29.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
30.
Write the explicit rule in recursive form: f(n) = 11(2)n-1
a)
f(1)=2, f(n)=f(n-1)11
b)
f(1)=11, f(n)=f(n-1)2
c)
f(11), f(n)=f(2)
31.
What is the 7 term for the rule:
f(n) = 3(0.8)n-1
f(n) = 3(0.8)n-1
a)
0.786
b)
0.629
c)
14.4
d)
2.4
32.
You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?
a)
$50
b)
$35
c)
$320
d)
$250
33.
A savings account with $2000 earns 1.25% interest each year. Which function models this situation?
a)
f(t) = 2000⋅1.25t
b)
f(t) = 2000⋅.0125t
c)
f(t) = 2000⋅1.0125t
d)
f(t) = 2000⋅1.125t
34.
Which function models the sequence
100, 25, 6.25, 3.125
100, 25, 6.25, 3.125
a)
f(n) = 100⋅.25n-1
b)
f(n) = 100⋅.25n
c)
f(n) = 100⋅.2n-1
d)
f(n) = 100⋅.2n
35.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
36.
Which strategy would you use to factor: x2-25?
a)
T-Chart
b)
SODOC
c)
DOS
d)
Rainbox
37.
Factor Completely: 5x4-5
a)
5(x2-1)(X2+1)
b)
25(x2-1)(x2+1)
c)
5(x+1)(x-1)(x2+1)
d)
5(x4-1)
38.
Factor x2-6x+8
a)
(x-4)(x-2)
b)
(x+4)(x+2)
c)
(x-4)(x+2)
d)
(x+4)(x-2)
39.
Factor x2+12x+20
a)
(x-4)(x+5)
b)
(x+10)(x+2)
c)
(x-10)(x-2)
d)
(x+4)(x+5)
40.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
41.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
42.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
43.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
44.
What is a method of checking your work when factoring?
a)
FOIL
b)
asking the teacher every time
c)
assume you're correct
d)
division
45.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
46.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
47.
a)
Degree 3
b)
Degree 6
c)
Degree 7
d)
Degree 5
48.
a)
Degree 2
b)
Degree 3
c)
Degree 4
d)
Degree 5
49.
Classify by number of terms:
3x3 – 6x
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
50.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
51.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
52.
Classify by number of terms:
9x
9x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
53.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
Reset
