Download ACES #4 Assignment

Algebra II Assignment
For ACES #04
Name: _________________________________ Date ________________ Period ______
Instructions to Student: Show your work
Standard: 11
Chapter 10
1. What is the solution to the equation 3 x  8 ?
2. Simplify log 3
Answers
1. __________
9
?
81
2. __________
3. If log 3 x  5 , what is the value of x?
3.__________
1
4. Write an equivalent equation to log 5  x
3
4.__________
5. Simplify log 4 64 ?
5.__________
6. What is the solution to the equation 3 x  243 ?
7. What is the inverse equation of 4 x  8 ?
DJUHSD
Form A
MATH
6.__________
7.__________
Chapters 10
8. Write an equivalent equation to log 2 x  6 ?
Answers
8. __________
9. If log x .1  1 then what is the value of x?
9. __________
10. What is the solution to the equation log 5 5  log 5 25  x
Standard: 12
Chapter 10
10.__________
11. If y = 7 x is graphed, which values of x would
produce a point closest to the x-axis?
12. A certain radioactive element decays over time according to
11.__________
t
 1  300
the equation y = A   , where A = the number of grams
2
present initially and t = time in years. If 500 grams were
present initially, how many grams will remain after 100 years?
12.__________
13. Write an equation that expresses the number of
bacteria, y, present at any time, t?
Bacteria Growth
Day
0
1
2
13.__________
Bacteria
200
400
600
14.__________
DJUHSD
Form A
MATH
Chapters 10
x
7
14. If y =   is graphed, which values of
2
x would produce a point closest to the y-axis?
x
3
15. If y =   is graphed, which values of
4
x would produce a point closest to the x-axis?
Answers
15. __________
16. A certain element grows exponentially over time according
to the equation y  A2100 , where A = the numer of grams
present initially and t = time in years. If 10,000 grams were
present initially, how many grams will there be after 20 years?
t
16. __________
Standard: 13
Chapter 10
17.__________
17. Find log 6 32 ?
18. Find log 2
8
?
14
18.__________
19. Find log 3 15
Standard: 14
Chapter 10
DJUHSD
Form A
MATH
19.__________
Chapters 10
20. What is the value of log 8
1
?
64
Answers
21. If log 2 3  1.585 and log 2 7  2.807 what is the
approximate value of log 2 28 ?
21. __________
22. What is the value of log 2 64 ?
22. __________
23. If log 2 3  1.585 and log 2 7  2.807 what is the
approximate value of log 2 42 ?
24. What is the value of 10 3 log 3 ?
23.__________
24.__________
25. What is the value of log 4 4 2 ?
25.__________
26. If log 2 3  1.585 and log 2 7  2.807 what is the
3
6
approximate value of log 2   ?
7
DJUHSD
Form A
26.__________
MATH
Chapters 10
27. If log 2 3  1.585 and log 2 7  2.807 what is the
 21 
approximate value of log 2   ?
 3
Standard: 15
Chapter 10
28. If x is a real number, for what values of x is the equation
4 2 x  8 5 x 6  true?
Answers
28. __________
29. Given the equation y = x n where x is greater than zero and n
is less than 0, what must be true about real values of y?
29. __________
30. If x is a real number, for what values of x is the equation
3
9  
 81 
x
DJUHSD
Form A
3x
true?
30.___________
MATH
Chapters 10