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Alg 1 Ch 5 Review - NEEDS EDITING

Total questions: 64

Worksheet time: 3hrs 9mins

Name
Class
Date
1.
Simplify 100
a)
10
b)
1
c)
0
d)
100
2.
(-4x)0
a)
-4
b)
4x
c)
-1
d)
1
3.
-90
a)
1
b)
-1
c)
-9
d)
9
4.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
5.
xy0
a)
xy
b)
x
c)
1
d)
0
6.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
7.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
8.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
9.
Rewrite using a positive exponent.
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
10.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
11.
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
12.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
13.
Rewrite using a positive exponent.
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
14.
Simplify the expression.
a)
5a4 / 2c
b)
5 / 2a-4c
c)
5 / 2a4c
15.
Rewrite using positive exponents and simplify.
a)
3t3
b)
3/t3
c)
6t3
d)
6/t3
16.
a)

A

b)

B

c)

C

d)

D

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

A

b)

B

c)

C

d)

D

19.
Linear, exponential, or neither?
 y = 4 + 2x
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
20.
Linear, exponential, or neither?
y = 4(3)x
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
21.
Linear, exponential, or neither?
y = 5x2
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
22.
Linear, exponential, or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
23.
Linear, exponential, or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
24.
Linear, exponential, or neither?
Amount increases $10 per year
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
25.
Linear, exponential, or neither?
Amount triples each year
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
26.
Linear, exponential, or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
27.
Linear, exponential, or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
28.
What type of function describes the table?
a)
Linear
b)
Exponential
c)
Neither
29.
Which function describes the table?
a)
Linear
b)
Exponential
c)
Neither
30.
Which function describes the table?
a)
linear
b)
exponential
c)
neither
31.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
32.

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 year. How many mosquitoes will there be after 4 year?

a)

9766

b)

9006

c)

9765

d)

5433

33.
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.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
34.
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
35.

Daniel’s Print Shop purchased a new printer for $35,000. Each year its value decreases 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

36.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
37.
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
38.
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
39.

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your growth factor, b?

a)

-5

b)

-.05

c)

.95

d)

.05

40.

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

b)

$831.10

c)

$839.45

d)

$846.80

41.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
42.
Find the following Balance:
$600 invested at 6% compounded annually for 7 years.
a)
$2273.04
b)
$1080.57
c)
$1057.95
d)
$902.18
43.

If $1,000 is invested at 16% interest, compounded annually, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,100.34

c)

$22,255.40

d)

$225.54

44.
Principal: $5000
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)
$12550.84
45.
Given an investment of$ 1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily. 
a)
Option 1
b)
Option 2
46.
Monthly means how many times a year?
a)
4 
b)
12
c)
52
d)
365
47.
Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?
a)
$2201.25
b)
$2694.55
c)
$2707.45
d)
$2708.63
48.

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

49.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

50.
Simplify

√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
51.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
52.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
53.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
54.
√72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
55.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
56.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
57.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
58.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
59.
Simplify the following radical: √196
a)
2√49
b)
14
c)
7
d)
2√98
60.
Simplify
a)
A
b)
B
c)
C
d)
D
61.
Simplify:
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
62.
Multiply and simplify.
a)
40x4y7
b)
40x2y3
c)
20x2y3√y
d)
20x√2y7
63.
SIMPLIFY:
a)
A
b)
B
c)
C
d)
D
64.
a)
A
b)
B
c)
C
d)
D

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