chp7rev - Parkway C-2

Name: ________________________ Class: ___________________ Date: __________
ID: A
chp7rev
____
1. Find the y-intercept of the equation. y = − 3 ⋅ 7 x
a. 4
b. –21
c.
–3
d.
7
____
2. The amount of money, A, accrued at the end of n years when a certain amount, P, is invested at a
n
compound annual rate, r, is given by A = P (1+ r) . If a person invests $310 in an account that pays 8%
interest compounded annually, find the balance after 5 years.
a. $455
b. $2790
c. $13,950
d. $443
____
3. The projected worth (in millions of dollars) of a large company is modeled by the equation
x
y = 241 (1.04) . The variable x represents the number of years since 1997. What is the projected annual
percent of growth, and what should the company be worth in 2001?
a. 14%; $293.21 million
c. 14%; $250.64 million
b. 4%; $271.09 million
d. 4%; $281.94 million
4. Find the value of $1000 deposited for 10 years in an account paying 7% annual interest compounded
yearly.
____
5. If there are initially 4000 bacteria in a culture, and the number of bacteria double each hour, the number
Ê ˆ
of bacteria after t hours can be found using the formula N = 4000 ÁÁ 2 t ˜˜ . How many bacteria will be present
Ë ¯
after 9 hours?
a. 2,048,000
b. 4,096,000
c. 1,024,000
d. 72,000
Writing:
6. How does changing the value of b affect the graph of an exponential equation of the form y = ab x ?
7. A piece of equipment costs $85,000 new but depreciates 15% per year in each succeeding year. Find its
value after 10 years.
8. A piece of equipment costs $75,000 new but depreciates 12% per year in each succeeding year. Find its
value after 8 years.
Simplify:
____
9.
7e 19
35e 6
a. 5e 25
1 13
e
b.
5
c.
d.
1
5e 13
1 25
e
5
Name: ________________________
ID: A
Graph:
10. f (x) = 4.5e 0.8x
____ 11. If $2500 is invested at a rate of 11% compounded continuously, find the balance in the account after 4
years. Use the formula A = Pe rt .
a. $3795.18
b. $3881.77
c. $4333.13
d. $18472.64
____ 12. The formula A = 2000e rt can be used to find the dollar value of an investment of $2000 after t years when
the interest is compounded continuously at a rate of r percent. Find the value of the investment after 6
years if the interest rate is 7%. Find the value of the investment after 12 years if the interest rate is 8%.
a. $3043.92; $2920.47
c. $3043.92; $5223.39
b. $4901.85; $5223.39
d. $4901.85; $2920.47
Evaluate:
____ 13. log 3 729
1
a.
6
b.
18
c.
2
6
d.
1
18
Name: ________________________
ID: A
____ 14. Graph the function y = 1.2 x and its reflection over the line y = x. Is the reflection the graph of a function?
a.
c.
No
No
d.
b.
Yes
Yes
3
Name: ________________________
ID: A
Graph:
____ 15. y = log 3 x
a.
c.
b.
d.
____ 16. Use the formula R = log 10 I , where R is the measurement of the Richter scale and I is the intensity, to find
the Richter scale measurement of an earthquake with intensity 53,000,000.
a. 7.7243
b. 1.77858
c. 0.77243
d. 17.7858
17. Evaluate without using a calculator. log 7 343
____ 18. Express as a single logarithm: log a 13 + log a 60
a.
log a 780
c.
b.
log a (13+ 60)
d.
ÊÁ 13 ˆ˜
log a ÁÁÁÁ ˜˜˜˜
Ë 60 ¯
log a 13 60
Use the change-of-base formula to evaluate the expression.
19. log3 5
Solve:
____ 20.
1
= 27 7x − 6
9
4
a.
7
20
b. −
21
c.
d.
4
16
21
20
21
Name: ________________________
ID: A
____ 21. Solve. e −0.07t = 8
a. none of these
b. –12.9013
c.
d.
–29.7063
–114.286
Solve the equation. Check for extraneous solutions.
____ 22. log 5 (3x + 9) = 2
23
a.
3
b.
16
3
c.
5
1
3
d.
34
3
ID: A
chp7rev
Answer Section
1. ANS: C
PTS: 1
DIF: Level B
REF: MAL21004
STA: MO.MOGCLE.MTH.07.AL2.A.4.A.1
TOP: Lesson 7.1 Graph Exponential Growth Functions
KEY: exponential | equation
BLM: Knowledge NOT: 978-0-618-65615-8
2. ANS: A
PTS: 1
DIF: Level B
REF: MAL21007
STA: MO.MOGLE.MTH.04.11.5.4.B.1 TOP: Lesson 7.1 Graph Exponential Growth Functions
KEY: word | log | compound interest
BLM: Application NOT: 978-0-618-65615-8
3. ANS: D
PTS: 1
DIF: Level B
REF: MAL21009
STA: MO.MOGLE.MTH.04.11.2.4.A.1 | MO.MOGCLE.MTH.07.AL2.A.2.A.1
TOP: Lesson 7.1 Graph Exponential Growth Functions
KEY: word | exponential | growth
BLM: Application NOT: 978-0-618-65615-8
4. ANS:
$1967.15
PTS: 1
DIF: Level A
REF: MAL21013 STA:
MO.MOGLE.MTH.04.11.5.4.B.1
TOP: Lesson 7.1 Graph Exponential Growth Functions
KEY: compound interest
BLM: Application NOT: 978-0-618-65615-8
5. ANS: A
PTS: 1
DIF: Level B
REF: MAL21022
STA: MO.MOGCLE.MTH.07.AL2.A.2.A.1
TOP: Lesson 7.1 Graph Exponential Growth Functions
KEY: word | exponential growth
BLM: Application NOT: 978-0-618-65615-8
6. ANS: Sample answer: For b > 0, as the value of b increases, the curve slopes upward faster; that is, the
value of y increases at a faster rate. For 0 < b < 1, as the value of b increases, the curve slopes downward
slower; that is, the value of y decreases at a slower rate.
PTS: 1
DIF: Level B
STA: MO.MOGLE.MTH.04.11.2.1.E.1
KEY: graph | exponential
7. ANS:
$16,734.32
REF: MAL21032 NAT: NCTM 9-12.ALG.1.c
TOP: Lesson 7.2 Graph Exponential Decay Functions
BLM: Analysis
NOT: 978-0-618-65615-8
PTS: 1
DIF: Level A
REF: MAL21036
STA: MO.MOGCLE.MTH.07.AL2.A.2.A.1
TOP: Lesson 7.2 Graph Exponential Decay Functions
BLM: Application NOT: 978-0-618-65615-8
8. ANS:
$26,972.59
PTS:
STA:
TOP:
BLM:
9. ANS:
STA:
TOP:
KEY:
NOT:
1
DIF: Level A
REF: MAL21037
MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.2 Graph Exponential Decay Functions
Application NOT: 978-0-618-65615-8
B
PTS: 1
DIF: Level B
MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.3 Use Functions Involving e
exponent | exponential | rules | simplify
978-0-618-65615-8
1
KEY: percent | depreciate
KEY: percent | depreciate
REF: MAL21041
BLM: Comprehension
ID: A
10. ANS:
11.
12.
13.
14.
15.
16.
17.
PTS:
TOP:
BLM:
ANS:
STA:
TOP:
KEY:
NOT:
ANS:
STA:
TOP:
KEY:
NOT:
ANS:
STA:
TOP:
KEY:
ANS:
NAT:
TOP:
KEY:
NOT:
ANS:
NAT:
TOP:
KEY:
ANS:
TOP:
KEY:
ANS:
3
PTS:
STA:
TOP:
KEY:
18. ANS:
TOP:
BLM:
1
DIF: Level B
REF: MAL21047
Lesson 7.3 Use Functions Involving e
KEY: graph | exponential
Comprehension
NOT: 978-0-618-65615-8
B
PTS: 1
DIF: Level B
REF: MAL21058
MO.MOGLE.MTH.04.11.5.4.B.1 | MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.3 Use Functions Involving e
word | interest | compound | continuous
BLM: Application
978-0-618-65615-8
C
PTS: 1
DIF: Level B
REF: MAL21060
MO.MOGLE.MTH.04.11.5.4.B.1 | MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.3 Use Functions Involving e
interest | continuous | compounded continuously
BLM: Application
978-0-618-65615-8
C
PTS: 1
DIF: Level A
REF: MAL21066
MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.4 Evaluate Logarithms and Graph Logarithmic Functions
log | evaluate | exponential
BLM: Knowledge NOT: 978-0-618-65615-8
B
PTS: 1
DIF: Level B
REF: MAL21076
NCTM 9-12.GEO.3.a
STA: MO.MOGCLE.MTH.07.AL2.G.3.B.1
Lesson 7.4 Evaluate Logarithms and Graph Logarithmic Functions
graph | exponential | inverse | function
BLM: Comprehension
978-0-618-65615-8
C
PTS: 1
DIF: Level B
REF: MAL21081
NCTM 9-12.ALG.1.c
Lesson 7.4 Evaluate Logarithms and Graph Logarithmic Functions
log | graph
BLM: Comprehension
NOT: 978-0-618-65615-8
A
PTS: 1
DIF: Level B
REF: MAL21110
Lesson 7.4 Evaluate Logarithms and Graph Logarithmic Functions
logarithms | word
BLM: Application NOT: 978-0-618-65615-8
1
DIF: Level B
REF: MAL21069
MO.MOGCLE.MTH.07.AL2.A.2.A.1
Lesson 7.4 Evaluate Logarithms and Graph Logarithmic Functions
logarithm
BLM: Knowledge NOT: 978-0-618-65615-8
A
PTS: 1
DIF: Level B
REF: MAL21102
Lesson 7.5 Apply Properties of Logarithms
KEY: log | property
Comprehension
NOT: 978-0-618-65615-8
2
ID: A
19. ANS:
log5
≈ 1.46
log3
PTS:
TOP:
BLM:
20. ANS:
TOP:
KEY:
NOT:
21. ANS:
TOP:
KEY:
NOT:
22. ANS:
TOP:
KEY:
NOT:
1
DIF: Level A
REF: MAL21107
Lesson 7.5 Apply Properties of Logarithms
KEY:
Knowledge NOT: 978-0-618-65615-8
C
PTS: 1
DIF: Level B
REF:
Lesson 7.6 Solve Exponential and Logarithmic Equations
solve | equation | exponential
BLM: Comprehension
978-0-618-65615-8
C
PTS: 1
DIF: Level B
REF:
Lesson 7.6 Solve Exponential and Logarithmic Equations
solve | logarithm
BLM: Comprehension
978-0-618-65615-8
B
PTS: 1
DIF: Level B
REF:
Lesson 7.6 Solve Exponential and Logarithmic Equations
equation | solve
BLM: Comprehension
978-0-618-65615-8
3
logarithm | change of base
MAL21117
MAL21121
MAL21126
chp7rev [Answer Strip]
ID: A
B 14.
_____
C 21.
_____
C 15.
_____
C
_____
1.
A
_____
2.
B 22.
_____
D
_____
3.
B 11.
_____
A
_____
5.
C 12.
_____
C 13.
_____
A 16.
_____
A 18.
_____
B
_____
9.
C 20.
_____

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