Chapter 8 Multiple-Choice Practice Algebra 2

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

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

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.

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.

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.

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.

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.

Answers

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

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.

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.

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.

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.

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.

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