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- 1. Multiple Choice
What is the rate of growth of f(x)=200(1+0.3)x ?
0.3
1.3
-1.3
1
- 2. Multiple Choice
Given f(x)=250(1-0.05)x , what does 250 represent?
The initial value
The slope
The common ratio
The common difference
- 3. Multiple Choice
Given f(x)=350(1-0.02)x , find x if f(x)=4200
125.4836
127.4836
129.4836
131.4836
- 4. Multiple Choice
Given f(x)=470(1+0.35)x , find f(x) if x=12.55
20313.59
20300.59
20326.59
20352.59
- 5. Multiple Choice
An adult person takes 400 mg of Ibuprofen after taking the second doses the coronavirus vaccine. Each hour, the amount of ibuprofen in the person´s system decreases exponentially by about 29%. Write an exponential function representing the situation.
f(x)=400(1-0.29)x
f(x)=400(0.29)x
f(x)=400(1+0.29)x
f(x)=1.29(400)x
- 6. Multiple Choice
Solve for x: 27x = 81
x=4/3
x=3/4
x=-4/3
x=-3/4
- 7. Multiple Choice
Solve: 82x-5 = 1/4
x=13/6
x=6/13
x=-13/6
x=-6/13
- 8. Multiple Choice
Solve: 495x = 72x+1
x=1/8
x=-1/8
x=8
x=-8
- 9. Multiple Choice
Solve 52x+3 = 1/125
x=-3
x=3
x=1/3
x=-1/3
- 10. Multiple Choice
Which of the following functions shows an initial value of 15 and an increase of 35%?
y=15(0.35)x
y=15(1.35)x
y=35(1.15)x
y=35(0.15)x
- 11. Multiple Choice
Solve: log x + log (x+3) = 1
x=-5
x=5
x=-2
x=2
- 12. Multiple Choice
Solve log2 (x+2) + log2 x = 3
x=2
x=1
x=2, x=-4
x=-2,x=4
- 13. Multiple Choice
Solve log5 (4x-7) = log5 (x+5)
x=4
x=3
x=7
x=11
- 14. Multiple Choice
Solve log2 (x2-6) - log2 (2x+2) = 0
x=-2, x=4
x=2
x=4
x=2, x=-4
- 15. Multiple Choice
What is a logarithm?
An exponent
A special argument
A procedure used for solving logarithmic equations
A procedure used for solving exponential equations
- 16. Multiple Choice
Given log3 x = 4, write this expression in exponential form
34=x
3x=4
4x=3
43=x
- 17. Multiple Choice
Solve log9 x + log9 (x+2) = log9 35
x=5
x=7
x=5, x=-7
x=7, x=-5
- 18. Multiple Choice
Write 53 = x in logarithmic form
log5 x = 3
log3 5 = x
logx 3 = 5
log3 x = 5
- 19. Multiple Choice
Get your calculator and find ln 7
1.95
0.85
0.95
0.85
- 20. Multiple Choice
Solve ln (x-4) + ln (x+1) = ln (x+5) + ln (x-6)
x=13
x=12
x=11
x=10
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