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:

a) 2.29

b) 3.41

c) 18

d) 6.01

e) 0.76

Helpful Hint:Find a way to get rid of the base of 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?

a) $5,065.78

b) $4,912.12

c) $6,902.09

d) $5,419.66

e) $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 ?

a) 1

b) 2

c) 6

d) -2

e) 5

Helpful Hint:Think of a way to create common bases.

QUESTION 4

What is the inverse of the function ?

a)

b)

c)

d)

e)

Helpful Hint:Switch the variables and think about a way to cancel out the natural log.

QUESTION 5

What is the approximation of ?

a) -3.61

b) 2.16

c) 0.176

d) -0.71

e) -0.43

Helpful Hint:Our calculators cannot compute this, so we need to use the change-of-base formula.

QUESTION 6

Express as a single logarithm.

a)

b)

c)

d)

e)

Helpful Hint:Think about the operation that goes with addition and what purpose the coefficient serves.

ANSWERS

QUESTION 1

Solve:

a) 2.29

b) 3.41

c) 18

d) 6.01

e) 0.76

Helpful Hint:Find a way to get rid of the base of 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?

a) $5,065.78

b) $4,912.12

c) $6,902.09

d) $5,419.66

e) $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 ?

a) 1

b) 2

c) 6

d) -2

e) 5

Helpful Hint:Think of a way to create common bases.

QUESTION 4

What is the inverse of the function ?

a)

b)

c)

d)

e)

Helpful Hint:Switch the variables and think about a way to cancel out the natural log.

QUESTION 5

What is the approximation of ?

a) -3.61

b) 2.16

c) 0.176

d) -0.71

e) -0.43

Helpful Hint:Our calculators cannot compute this, so we need to use the change-of-base formula.

QUESTION 6

Express as a single logarithm.

a)

b)

c)

d)

e)

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