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Worksheets

Ch 6 review

Total questions: 54

Worksheet time: 2hrs 23mins

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 initial value of the situation represented by f(x)=0.05(2)x?

a)

0.05

b)

2

c)

0.1

d)

1

8.

Which variable represents time passed in the function y=abx?

a)

y

b)

a

c)

b

d)

x

9.

This is the horizontal line which the values of the function cannot fall below :

a)

Asymptote

b)

Growth Factor

c)

Axis of symmetry

d)

Curve

10.

Is the following function and example of decay or growth?

f(x)=2(0.85)x

a)

Exponential Decay

b)

Exponential Growth

11.

Is the following function an example of decay or growth?

f(x) = 2(1.25)x

a)

Exponential Growth

b)

Exponential Decay

12.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
13.
A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?
a)
$415
b)
$463.71
c)
$343.49
d)
$460.12
14.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
15.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?
a)
$800
b)
$8367.70
c)
$6600
d)
$25,707.36
16.
What values of b make an exponential growth function?
a)
b > 0
b)
b <1
c)
b > 1
d)
0 < b < 1
17.
What values of b make an exponential decay function?
a)
b > 0
b)
b < 1
c)
b > 1
d)
0 < b < 1
18.
Write in exponential form: ∛4⁵
a)
43/5
b)
45/3
c)
41/5
d)
41/3
19.
Re-write the expression in radical form.
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
20.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
21.
Rewrite the following as a radical.  Simplify if possible.
a)
A
b)
B
c)
C
d)
D
22.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
23.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
24.

Write the function for the following table:

a)

f(x) = 5x + .08

b)

f(x)= 5x + 2

c)

f(x) = .08(5)^x

d)

f(x)= 2(5)^x

25.

Write the function for the following table:

a)

f(x)= 1(2)^x

b)

f(x)= 2(1)^x

c)

f(x) = 2x+1

d)

f(x)= x+2

26.

Write the function for the following table:

a)

f(x) = 1(3)^x

b)

f(x) = 3(3)^x

c)

f(x) = 3x+3

d)

f(x)= 6x+1

27.

Write the function for the following table:

a)

f(x)= 6x-2

b)

f(x)= 10x+2

c)

f(x)= 2(6)^x

d)

f(x)= 6(2)^x

28.

Write the function for the following table:

a)

f(x)= 1/3x + 27

b)

f(x)= 3x+27

c)

f(x)= 243(3)^x

d)

f(x) = 27(1/3)^x

29.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
30.
Which type of function is given by the table?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Piecewise
31.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
32.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
33.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
34.
What is the common ratio for the sequence:
3, 15, 75...
a)
12
b)
1/5
c)
5
35.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
36.

Given the equation below determine the y-intercept.

y=3xy=3^x  

a)

(0, 1)

b)

(0, 3)

c)

x= 0

d)

y = 0

37.

In the compound interest formula A=P(1+r)t what does the A stand for?

a)

The amount of interest

b)

The total amount

c)

The interest rate

d)

The time

38.

In the compound interest formula A=P(1+r)t what does the P stand for?

a)

The time

b)

The total amount

c)

The principal amount (original amount)

d)

The interest rate

39.

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$565.70

b)

$262609.38

c)

$65.70

d)

$630.20

40.

Hei-Hei has $1500 in a retirement account earning 5% interest compounded annually. After 5 years how much does Hei-Hei have in the account?

a)

$1750

b)

$2010.14

c)

$2500

d)

$1914.42

41.

Henry deposits $750 into a college savings account that is compounded annually when his parents received as a stimulus package. If Henry lets the money sit in the account without adding or removing any and receives a 8.5% interest rate, how much money will he have total after 5 years?

a)

$1127.74

b)

$1535.24

c)

$2345.67

d)

$850.76

42.

Julia invested $1000 for college in an account earning 5% compounded annually. When she checked the account after 4 years, how much money did she find in the account?

a)

Not enough

b)

$563.24

c)

$1215.51

d)

$3200.12

43.

Trevor wants to have $4000 saved up in 3 years for a car. If he invests $1500 in a savings account that is compounded annually at an interest rate of 12%, will he have enough money at the end of the 4 years?

a)

Yes

b)

No

44.

Daniel invests $360 in a bank account that is compounded annually for 8 years with an interest rate of 5.5%. What will be the total amount in the account after the 8 years is over?

a)

$625.88

b)

$950.12

c)

$315.45

d)

$552.49

45.

Change 6.5% to a decimal

a)

.65

b)

6.5

c)

.065

d)

.065%

46.

Change 18% to a decimal

a)

18

b)

.18

c)

.018

d)

.18%

47.

What is the growth factor for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

48.

What is the initial value for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

49.

What is the growth rate for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

50.

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth factor?

a)

750

b)

1.7

c)

1.07

d)

7%

51.

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth rate?

a)

750

b)

1.7

c)

1.07

d)

7%

52.

Sally invests $750 dollars into a bank that pays 7% interest.

What is the initial value?

a)

750

b)

1.7

c)

1.07

d)

7%

53.

At the McBurger fast food chain, a combo costs $9. If you upgrade the size of the drink, the cost increases by 10% What is the cost of the upgraded combo?

a)

$0.9

b)

$9.9

c)

$90

d)

$10

54.

At a movie theater, a standard movie ticket costs $15. After upgrading to 3-D, the price increases to $21. What is the percent increase (growth rate) of the upgrade?

a)

40%

b)

60%

c)

4%

d)

1.4%