WorksheetsTopic 5 - Exponents and Exponential Functions Review
Total questions: 60
Worksheet time: 4hrs 19mins
Name
Class
Date
1.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
2.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
3.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
4.
Which represents exponential decay?
a)
A
b)
B
c)
C
d)
D
5.
Is the pictured graph growth, decay, or linear or quadratic?
a)
Growth
b)
Decay
c)
Linear
d)
Quadratic
6.
Is the pictured graph growth, decay, or linear or quadratic?
a)
Growth
b)
Decay
c)
Linear
d)
Quadratic
7.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
8.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
9.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
10.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
11.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
12.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
13.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
14.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
15.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
16.
Simplify x3y2z6x-1yz-5
a)
x2y3z
b)
x2y2z11
c)
x4y3z11
d)
x2z
17.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
18.
Simplify:
a)
A
b)
B
c)
C
d)
D
19.
a)
a8b13
b)
a2b7
c)
a15b30
20.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
21.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
22.
Simplify.
a)
(2x-18) / y4
b)
(2x3) / y
c)
y12 / (8x18)
d)
none of these
23.
Write the expression in exponential form:
√23
√23
a)
231/2
b)
23-1/2
c)
232
d)
23-2
24.
Write the expression in exponential form:
∛x2
∛x2
a)
x3/2
b)
x2/3
c)
x1/2
d)
x1/3
25.
Write the expression in exponential form:
∜x5
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
26.
Write the expression in exponential form:
∛(2x)2
∛(2x)2
a)
(2x)2/3
b)
2x2/3
c)
2x3/2
d)
(2x)3/2
27.
Write the expression in radical form.
x3/4
x3/4
a)
∜x3
b)
∛x4
c)
x.75
d)
√x2
28.
Write the expression in radical form.
y1/2
y1/2
a)
√y
b)
∛y
c)
√y2
d)
∛y2
29.
Write the expression in radical form.
x1.5
x1.5
a)
√x3
b)
∛x2
c)
x3
d)
√x
30.
Write the expression in radical form.
x7/2
x7/2
a)
√x7
b)
7√x2
c)
7x2
d)
∛x7
31.
Simplify the expression:
361/2
361/2
a)
6
b)
36
c)
-6
d)
1296
32.
Simplify the expression:
271/3
271/3
a)
3
b)
9
c)
27
d)
33
33.
Simplify the expression:
101/2 * 101/2
101/2 * 101/2
a)
10
b)
100
c)
10,000
d)
3.56
34.
Simplify the expression:
31/2 * 271/2
31/2 * 271/2
a)
9
b)
81
c)
3
d)
1/3
35.
Simplify the expression:
31/3 * 91/3
31/3 * 91/3
a)
3
b)
9
c)
1/3
d)
27
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
42.
Simplify:
a)
2√3√14
b)
4√42
c)
2√42
d)
4√3√14
43.
Simplify √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
44.
Simplify √24
a)
4√6
b)
3√8
c)
2√6
d)
6√2
45.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
46.
Simplify completely.
a)
8√3xy
b)
y√24xy
c)
8y√3xy
d)
8√24x
47.
2√5 + 4√5 =
a)
6√10
b)
8√10
c)
8√5
d)
6√5
48.
Simplify
2√27+3√3
2√27+3√3
a)
15√30
b)
5√3
c)
9√3
d)
9√8
49.
Simplify
-2√2 - 3√8 - √5
-2√2 - 3√8 - √5
a)
-8√2-√5
b)
-8√2-√9
c)
-14√3-√7
d)
-2√4-√3
50.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
51.
√18 - √12
a)
√6
b)
2√3
c)
√2
d)
√5
52.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
53.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
54.
Cooper purchased a new truck for $35,000. Each year it depreciates at a rate of 5%. How much will the truck be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
55.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
56.
A stamp gets more expensive each year. It increases in value by 60 % each year. What is the growth FACTOR?
a)
.6
b)
1.06
c)
1.6
d)
.4
57.
Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52 (Mr. Williams)
b)
$831.10 (Mrs. Hoch)
c)
$839.45 (Mr. Krajunus)
d)
$846.80 (Ms. Palombo)
58.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)
$6,273.50 frustrated
b)
$6,314.08 bewildered
c)
$6,385.72 pleased
d)
$6,427.94 tickled pink
59.
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
a)
$33,299.42 playing dodgeball
b)
$33,672.68 climbing trees
c)
$34,157.04 riding unicycles
d)
$34,710.88 flipping pancakes
60.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years?
a)
$15,415.94 LeBron James
b)
$15,683.28 Chase Utley
c)
$15,927.56 Serena Williams
d)
$16,349.72 Tom Brady
100 %
