Free Printable Growth/Decay/Logs/Exponential Quiz Review

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Growth/Decay/Logs/Exponential Quiz Review

Total questions: 12

Worksheet time: 27mins

Name

Class

Date

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1 + 0.35)^x

y = 15(0.35)^x

y = 35(1+ 0.15)^x

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1+ 0.14)^x

y=6(1 - 0.14)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?

2000(1+0.02)¹³

2000(1-0.02)¹³

2000(1+0.02)¹⁶

2000(1-0.02)¹⁶

Rewrite 3⁴ = 81 in logarithmic form.

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

Rewrite log₂8 = 3 in exponential form.

2⁸ = 3

2³ = 8

3² = 8

8³ = 2

Change to Exponential Form:
log₆36 = 2

2⁶=36

6²=36

36²=6

36⁶=2

Change to Logarithmic Form:
5³ = 125

log ₅ 125 = 3

log₃125 = 5

log ₅ 3 =125

log₁₂₅ 3 = 5

10.

ln (5x + 6) = 5

154.413

30.883

147.213

28.483

11.

Simplify the expression, leaving e in the answer.

$e^{-4}\cdot e^6$

$e^2$

$e^{-24}$

$2e^2$

$2e^{-24}$

12.

Simplify the expression, leaving e in the answer.

\frac{27e^7}{3e^4}

$9e^3$

$24e^3$

$9e^{\frac{7}{4}}$

$24e^{\frac{7}{4}}$

100 %

Growth/Decay/Logs/Exponential Quiz Review

Total questions: 12

Worksheet time: 27mins

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