Chapter 7 Algebra II

1
Chapter 7 Algebra II
Review
JEOPARDY
Jeopardy Review
2
Logarithms
Exponential Growth and Decay
Exponential Functions
Solving Logarithmic Equations
Solving Exponential Equations
200
200
200
200
200
400
400
400
400
400
600
600
600
600
600
800
800
800
800
800
1000
1000
1000
1000
1000
3
Logarithms200
log3 (1/9)
A -2
Jeopardy Review
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Logarithms 400
log .001
A -3
Jeopardy Review
5
Logarithms 600
Use the change of base formula to evaluate log6
21
A 1.699
Jeopardy Review
6
Daily Double
Jeopardy Review
7
Logarithms800
Using the properties of logarithms, expand log
(x2y/z)
A 2 log x log y log z
Jeopardy Review
8
Logarithms1000
Write as a single logarithm y 4 log m 2 log
n 3 log k
A log (m4n2/k3)
S2C13 Jeopardy Review
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Exponential Growth Decay 200
Identify the percent of decay in the equation y
6000 (.48)x
A 52
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Exponential Growth Decay400
Write the equation that models exponential growth
of 6 per year with a starting population of
22,000.
A y 22,000 (1.06)x
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Exponential Growth Decay 600
Predict the population in the year 2006 if a
countries population (in millions) is growing by
4 each year, and is modeled by the equation y
1.4 (1.04)x where x represents the years after
1990.
A 2.62 million
S2C13 Jeopardy Review
12
Exponential Growth Decay 800
A citys population is modeled by the equation y
14,000 (.98)x, where x represents the number of
years after the year 2000. Predict during which
year the population will decrease to 8,900.
A 2022
S2C13 Jeopardy Review
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Exponential Growth Decay 1000

• In the equation y 13 (2.58)x, Identify
• Growth or decay
• Growth or decay factor
• Percent of growth or decay

A a) growth b) 2.58 c) 158
S2C13 Jeopardy Review
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Exponential Functions 200
Evaluate y 2x for x -1, 0, and 2.
A y ½, 1, and 4
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Exponential Functions 400
Write the equation to describe the exponential
function with a base of 2, passing through the
point (4,7).
A y (7/16)(2)x
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Exponential Functions 600
Find the amount of money you have if you invest
20,000 for 5 years at 6 compounded continuously.
A 20,000 e(.065) 26,977.18
S2C13 Jeopardy Review
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Exponential Functions800
Find the amount of money you have if you invest
3000 for 3 years at 5 compounded continuously.
A 3000 e (.05)(3) 3485.50
S2C13 Jeopardy Review
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Exponential Functions 1000
You invest 2000 in an account earning 3
interest compounded continuously. How long will
it be until you have 2500?
A 2500 2000 e (.03t) t 7.44 years
S2C13 Jeopardy Review
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Solving Logarithmic Equations200
2 log24 log22
A log28 3
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Solving Logarithmic Equations 400
log9 v81
A 1
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Solving Logarithmic Equations600
Solve for x. log 5x 2
A 102 5x x 20
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Solving Logarithmic Equations800
Solve for x. ln 3 ln x ln 2 6
A ln (3x/2) 6 x 268.953
S2C13 Jeopardy Review
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Solving Logarithmic Equations1000
ln x ln (x 3) 2
A ln (x2 3x) 2 x 1.6, using
quadratic formula
S2C13 Jeopardy Review
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Solving Exponential Equations200
x2 49
A 7 or -7
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Solving Exponential Equations 400
4x? 20
A x 11.18
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Solving Exponential Equations 600
3x 4 6
A x 2.096
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Daily Double
28
Solving Exponential Equations 800
4vm3 2 10
A m 16
S2C13 Jeopardy Review
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Solving Exponential Equations 1000
e4x 10
A 4x ln 10 x .576
S2C13 Jeopardy Review