Algebra 2 Chapter 7 Review
Graph each of the following functions using a t-chart.
1. y
  x 2. y

4 x









         










          
Graph using transformation rules.
3. y

4 x

3









                    










         



















          
4. y
 
4 x

3
         



















          

5. You put $900 into an account earning 2% interest compounded continuously. Find the amount in the account at the end of 12 years. (Use 𝐴(𝑡) = 𝑃𝑒 𝑟𝑡
.)
6. You put $1800 into an college savings account earning 3% interest compounded continuously. Find the amount in the account at the end of 4 years. Do you have enough for college? (Use 𝐴(𝑡) = 𝑃𝑒 𝑟𝑡
.)
Use (Use 𝐴(𝑡) = 𝑎(1 + 𝑟) 𝑡
.) for the following problems.
7. Your allowance is currently $20. Your allowance is increased by 3% each year. What will your allowance be in 6 years?
8. You start your new job making $500. Your wages increase by 10% each year. How many years will it take you to make $800?
9. The current value of your car is $18,000. It ’ s cost depreciates by 12% each year. How much will your car be worth in 5 years?
10. The student population at Avon High School is 2200 students. If our population increases by 3% every year, how long will it take for Avon High School to have 4000 students?

Write each equation in logarithmic form.
11. 7
3 
343 12. 5

2 
1
25
13.
1
3

1
9
3
14. 4 2

8
How does the graph of each function compare to the graph of the parent function 𝒚 = 𝒍𝒐𝒈
𝟔 𝒙 ?
15. 𝑦 = 5𝑙𝑜𝑔
6
(𝑥 + 2) 16. 𝑦 = −𝑙𝑜𝑔
6 𝑥 + 8
17. 𝑦 = −𝑙𝑜𝑔
6
(𝑥 − 7) 18. 𝑦 = 2𝑙𝑜𝑔
Write each expression as a single logarithm.
19. 5 log 2 − log 2 20. log3 x
 log 4 x
6 𝑥 − 3
21. 2 log 4 + log 2 + log 2
22. log 3 − 2log 4 23. 5 log x + log x 2 24. log 3
6
 log 6
6
25. log314 26. Log
7
214
Solve each equation. Round to four decimal places if necessary.
27. 2 2 x 
64 ` 28. 81 3 x 
27

29. 3
5 x

1 
375
31. log 2x = 3
33. 2 log x + log 4 = 3
35. log 10 + log 2x = 3
37. ln (3x + 1) = 4
39. ln 2x = 3
41. 2 e x
 
43. e x

2

28
30. 7
3 x 
24

184
32. log 4z − 3 = 2
34 . log y – log 4 = 2
36. log(x − 3) + log x = 1
38. ln x – ln 7 = 3
40. ln 𝑒 𝑥
= 7
42. e x
6 12
44. 6 e

5 x

36