1. Chapter 8 Multiple-Choice Practice
Algebra 2

2. Main Ideas Exponential growth and decay Compound interest
Evaluating logarithmic expressions
Logarithmic properties (expanding and condensing)
Solving logarithmic equations

3. Question 1 Solve: 𝟒 𝟑𝒙 =𝟐𝟒 2.29 3.41 18 6.01 0.76 Helpful Hint:
Find a way to get rid of the base of 4.
2.29
3.41 18
6.01
0.76

4. Question 2
Suppose you deposit $5,000 in an account that pays 6.5% annual interest. What is the balance after 5 years if the interest is compounded quarterly?
$5,065.78
$4,912.12
$6,902.09
$5,419.66
$6,850.43
Helpful Hint:
Think about the compound interest formula and consider what the word “quarterly” means.

5. Question 3 What is the solution of 𝟒 𝟑𝒙 = 𝟖 𝒙+𝟏 ? 1 2 6 -2 5
Helpful Hint:
Think of a way to create common bases.

6. Question 4 What is the inverse of the function 𝒚= ln (𝟑𝒙) ? 𝑦= 3 𝑒 𝑥
𝑦= 3 𝑒 𝑥
𝑦=3 𝑒 𝑥
𝑦=9 𝑒 𝑥
𝑦= 𝑒 𝑥 3
𝑦= ln 3 + ln 𝑥
Helpful Hint:
Switch the variables and think about a way to cancel out the natural log.

7. Question 5 What is the approximation of log 𝟒 𝟑 𝟖 ? -3.61 2.16 0.176
-0.71
-0.43
Helpful Hint:
Our calculators cannot compute this, so we need to use the change-of-base formula.

8. Question 6 Express 𝟒log 𝟐 +𝟐 log 𝟑 as a single logarithm. log 14
Helpful Hint:
Think about the operation that goes with addition and what purpose the coefficient serves.

9. Answers

10. Question 1 Solve: 𝟒 𝟑𝒙 =𝟐𝟒 2.29 3.41 18 6.01 0.76 Helpful Hint:
Find a way to get rid of the base of 4.
2.29
3.41 18
6.01
0.76

11. Question 2
Suppose you deposit $5,000 in an account that pays 6.5% annual interest. What is the balance after 5 years if the interest is compounded quarterly?
$5,065.78
$4,912.12
$6,902.09
$5,419.66
$6,850.43
Helpful Hint:
Think about the compound interest formula and consider what the word “quarterly” means.

12. Question 3 What is the solution of 𝟒 𝟑𝒙 = 𝟖 𝒙+𝟏 ? 1 2 6 -2 5
Helpful Hint:
Think of a way to create common bases.

13. Question 4 What is the inverse of the function 𝒚= ln (𝟑𝒙) ? 𝑦= 3 𝑒 𝑥
𝑦= 3 𝑒 𝑥
𝑦=3 𝑒 𝑥
𝑦=9 𝑒 𝑥
𝑦= 𝑒 𝑥 3
𝑦= ln 3 + ln 𝑥
Helpful Hint:
Switch the variables and think about a way to cancel out the natural log.

14. Question 5 What is the approximation of log 𝟒 𝟑 𝟖 ? -3.61 2.16 0.176
-0.71
-0.43
Helpful Hint:
Our calculators cannot compute this, so we need to use the change-of-base formula.

15. Question 6 Express 𝟒log 𝟐 +𝟐 log 𝟑 as a single logarithm. log 14
Helpful Hint:
Think about the operation that goes with addition and what purpose the coefficient serves.

16. Homework/Reminders Due tomorrow: Review Packet #19-28
Final exam next week!
Periods 3 and 4 on Tuesday 5/28
Period 2 on Wednesday 5/29