WorksheetsChapter 8 Review
Total questions: 81
Worksheet time: 3hrs 42mins
Name
Class
Date
1.
Simplify 83
a)
512
b)
24
c)
4096
d)
288
2.
(-5)3
a)
-15
b)
125
c)
-125
d)
-625
3.
(-1)6
a)
-1
b)
1
c)
6
d)
-6
4.
-34
a)
-81
b)
81
c)
-12
d)
-27
5.
Is (-4)6 positive or negative?
a)
Positive
b)
Negative
6.
Is -210 positive or negative?
a)
Positive
b)
Negative
7.
Which is larger?
53 or 35
a)
53
b)
35
c)
They are equal
8.
Which is larger?
(-3)2 or -32
a)
(-3)2
b)
-32
c)
They are equal
9.
a)
x1/2
b)
x3
c)
x2
d)
x-2
10.
5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
11.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
12.
Rewrite using a positive exponent.
w-13
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
13.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
14.
Simplify.
4a-2 ⋅ 2ab3
4a-2 ⋅ 2ab3
a)
8b3/a3
b)
4b3/a
c)
6b3/a
d)
8b3/a
15.
Simplify (-4x)0
a)
-4x
b)
-4
c)
1
d)
-1
16.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
17.
Simplify
a)
9a3/6b3
b)
9a3/8b3
c)
27a3/8b3
d)
6a3/5b3
18.
Simplify (evaluate):
3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
19.
Simplify
a)
-1/125
b)
125
c)
-125
d)
1/125
20.
Solve (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
21.
simplify -62
a)
36
b)
12
c)
-36
d)
-12
22.
simplify (-4)3
a)
64
b)
-64
c)
12
d)
-12
23.
simplify (-3)4
a)
81
b)
-81
c)
12
d)
-12
24.
simplify -(2)4
a)
8
b)
16
c)
-8
d)
-16
25.
simplify -(-5)3
a)
15
b)
125
c)
-15
d)
-125
26.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
27.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
28.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
29.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
30.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
31.
Which of the expressions are equivalent to x6?
a)
only A and B
b)
only A and C
c)
only A, C and D
d)
All of the expressions
32.
a)
A
b)
B
c)
C
d)
D
33.
Simplify.
a)
A
b)
B
c)
C
d)
D
34.
Write the expression in exponential form:
√23
√23
a)
231/2
b)
23-1/2
c)
232
d)
23-2
35.
Write the expression in exponential form:
∛x2
∛x2
a)
x3/2
b)
x2/3
c)
x1/2
d)
x1/3
36.
Write the expression in exponential form:
∜x5
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
37.
Write the expression in exponential form:
∛(2x)2
∛(2x)2
a)
(2x)2/3
b)
2x2/3
c)
2x3/2
d)
(2x)3/2
38.
Write the expression in radical form.
x3/4
x3/4
a)
∜x3
b)
∛x4
c)
x.75
d)
√x2
39.
Write the expression in radical form.
y1/2
y1/2
a)
√y
b)
∛y
c)
√y2
d)
∛y2
40.
Write the expression in radical form.
x7/2
x7/2
a)
√x7
b)
7√x2
c)
7x2
d)
∛x7
41.
Simplify the expression:
361/2
361/2
a)
6
b)
36
c)
-6
d)
1296
42.
Simplify the expression:
271/3
271/3
a)
3
b)
9
c)
27
d)
33
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
A
b)
B
c)
C
d)
D
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
a)
A
b)
B
c)
C
d)
D
56.
A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
a)
y = 1500(1 - 0.015)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t
57.
There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?
a)
f(x) = 417(3.75)x
b)
f(x) = 417(0.0375)x
c)
f(x) = 417(1.0375)x
d)
f(x) = 417(1.375)x
58.
An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
a)
f(x) = 12000(1 + 14.9)x
b)
f(x) = 12000(1 - 14.9)x
c)
f(x) = 12000(1 + 0.149)x
d)
f(x) = 12000(1 - 0.149)x
59.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
60.
A child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?
a)
A(x) = 2(0.01)x
b)
A(x) = 0.01(2)x
c)
A(x) = 0.01(1 - 2)x
d)
A(x) = 2(1.01)x
61.
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
62.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
63.
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
64.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
65.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
66.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
67.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
68.
Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?
a)
2000(1+0.02)13
b)
2000(1-0.02)13
c)
2000(1+0.02)16
d)
2000(1-0.02)16
69.
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
b)
$33,672.68
c)
$34,157.04
d)
$34,710.88
70.
Shawn is buying a new Jet Ski for $12,500. He is considering two credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with 10% interest compounded annually. Which is the better option and how much will he save?
a)
B; $573.83
b)
B; $495.21
c)
A; $573.83
d)
A; $495.21
71.
Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
72.
Emily 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
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
73.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
74.
Write 7.113 x 107 in standard form.
a)
71,130,000
b)
7,113,000
c)
0.0000007113
d)
7,113
75.
Write 7.8 x 10-3 in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
76.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
77.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
78.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
79.
Convert to scientific notation:
520,000,000
a)
52 x 107
b)
5.2 x 10-7
c)
5.2 x 108
d)
0.52 x 109
80.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
81.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
100 %
