Exponential Equations and Applications Quiz

What is the first step in solving an exponential equation when the bases are not the same?

• Convert the bases to the same base

• Divide the exponents

• Subtract the exponents

• Add the exponents

In the equation 3^x = 9, what should be the base to solve it easily?

• 1

• 9

• 6

• 3

How do you solve the equation 4^x = 2^(2x)?

• Multiply both sides by 2

• Convert 4 to 2^2

• Add 2 to both sides

• Set 4 equal to 2

What is the value of 'a' in the exponential function y = a * b^x if one of the points is (0, 16)?

• 16

• 0

• 1

• b

If you have the point (4, 81) and a = 16 in the function y = a * b^x, what is the next step to find b?

• Subtract 16 from both sides

• Add 16 to both sides

• Divide both sides by 16

• Multiply both sides by 16

What is the formula for compound interest?

• A = P(1 + rt)

• A = P(1 + r/n)^(nt)

• A = P(1 - r/n)^(nt)

• A = P(1 + r)^t

In the compound interest formula, what does 'n' represent?

• The total time in years

• The annual interest rate

• The number of times interest is compounded per year

• The principal amount

If the interest rate is 5.4% compounded quarterly, what is the value of 'n'?

• 1

• 2

• 12

• 4

What should you do to ensure accuracy when calculating compound interest?

• Round off at each step

• Use the previous answer button on the calculator

• Estimate the final amount

• Ignore the decimal places

What is the final amount if $4000 is invested at 5.4% annual interest compounded quarterly for 8 years?

• $7000

• $6000

• $5000

• $6143.56