1. Chapter 7 Algebra II
Review
JEOPARDY
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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. Logarithms 200
log3 (1/9) =
A: -2
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4. Logarithms 400
log .001
A: -3
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5. Use the change of base formula to evaluate: log6 21
Logarithms 600
Use the change of base formula to evaluate: log6 21 A:
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6. Daily Double
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7. Using the properties of logarithms, expand log (x2y/z)
A: 2 log x + log y – log z
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8. Write as a single logarithm:
Logarithms 1000
Write as a single logarithm:
y = 4 log m + 2 log n – 3 log k
A: log (m4n2/k3)
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9. Exponential Growth & Decay 200
Identify the percent of decay in the equation: y = 6000 (.48)x
A: 52%
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10. Exponential Growth & Decay 400
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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11. 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: million
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12. Exponential Growth & Decay 800
A city’s population is modeled by the equation
y = 14,000 (.98)x, where x represents the number of years after the year Predict during which year the population will decrease to 8,900.
A: 2022
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13. 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) c) 158%
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14. Exponential Functions 200
Evaluate y = 2x for x = -1, 0, and 2.
A: y = ½, 1, and 4
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15. 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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16. 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^(.06*5) = $26,977.18
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17. Exponential Functions 800
Find the amount of money you have if you invest $3000 for 3 years at 5% compounded continuously.
A: 3000 e (.05)(3) = $
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18. Exponential Functions 1000
You invest $2000 in an account earning 3% interest compounded continuously. How long will it be until you have $2500?
A: = 2000 e (.03t) t = 7.44 years
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19. Solving Logarithmic Equations 200
2 log24 – log22 =
A: log28 = 3
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20. Solving Logarithmic Equations 400
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21. Solving Logarithmic Equations 600
Solve for x.
log 5x = 2
A: 102 = 5x x = 20
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22. Solving Logarithmic Equations 800
Solve for x.
ln 3 + ln x – ln 2 = 6
A: ln (3x/2) = x =
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23. Solving Logarithmic Equations 1000
ln x + ln (x + 3) = 2
A: ln (x2 + 3x) = x = 1.6, using quadratic formula
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24. Solving Exponential Equations 200
A: 7 or -7
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25. Solving Exponential Equations 400
A: x =
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26. Solving Exponential Equations 600
A: x = 2.096
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27. Daily Double

28. Solving Exponential Equations 800
4√m = 10
A: m = 16
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29. Solving Exponential Equations 1000
A: 4x = ln 10 x = .576
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