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WorksheetsAlgebra I Exponents Review
Total questions: 21
Worksheet time: 40mins
Name
Class
Date
1.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
2.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
3.
3.) Simplify
(45x6y2)/(5x4y9)
(45x6y2)/(5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
4.
4.) Simplify
(16x4y-5)/(8a3b-8)
(16x4y-5)/(8a3b-8)
a)
(a3y5)/(2x4b8)
b)
(2x4b8)/(a3y5)
c)
(8x4b8)/(a3y5)
d)
2x4b8a3y5
5.
5.) Simplify
(w3/4z8/7)(w3/4z6/7)
(w3/4z8/7)(w3/4z6/7)
a)
w9/4z48/7
b)
w9/16z48/49
c)
w6/4z14/7
d)
w3/2z2
6.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
7.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
8.
(7uv2)-5
a)
-35uv-10
b)
-5/7uv2
c)
1/75u5v10
d)
1/7uv10
9.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
10.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
11.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
12.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
13.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
14.
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.
15.
The expression can be written equivalently with the following exponent on x.
a)
5/9
b)
9/5
c)
4
d)
45
16.
This expression can be written as the following exponent on x.
a)
x1/5
b)
x-1/5
c)
x-5
d)
x5
17.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
18.
What transformation does the graph show?
a)
Horizontal Shift
b)
Reflection (x-axis)
c)
Reflection (y-axis)
d)
Reflection (y=x)
19.
3 years ago you had $120 in the bank. You now have $207.36.
If the amount of money at the end of each year increases exponentially, then how much will you have in the bank after another 7 years?
If the amount of money at the end of each year increases exponentially, then how much will you have in the bank after another 7 years?
a)
120(1+.2)10
b)
All of the answers are correct
c)
None of the answers are correct because the growth rate is 25% not 20%
d)
207.36(1+.2)7
20.
In medieval times there were 10,000 people living in a city that was struck by a plague so that people began to die at an exponential rate daily. After 6 days, there were only 8,500 people living.
How many were living after three weeks?
How many were living after three weeks?
a)
10,000(1-.0267)21
b)
8,500(1-.0294)21
c)
10,000(1-.0294)21
d)
8,500(1-0.267)21
21.
A scientist started with a culture of 20 bacteria in a dish. The number of bacteria at the end of each successive hour increased exponentially, so that the number at the end of one day was 220.
How many bacteria were there after only 10 hours?
How many bacteria were there after only 10 hours?
a)
20(1-.105)10
b)
20(1+.105)10
c)
20(1+.42)10
d)
20(1-.42)10
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