Free Printable Exponential and Logarithms Quiz

1.

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account?

a)

7 years

b)

6 years

c)

5 years

d)

4 years

2.

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.

a)

Option 1

b)

Option 2

3.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,109.05

4.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

5.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

6.

Are these functions inverses of each other?

a)

Yes

b)

No

7.

Find the inverse

$f\left(x\right)=x^2\ +\ 3$

a)

$f^{-1}\left(x\right)=\sqrt[]{x}+3$

b)

$f^{-1}\left(x\right)=\sqrt[]{x-3}$

c)

$f^{-1}\left(x\right)=\sqrt[]{x+3}$

d)

$f^{-1}\left(x\right)=\sqrt[\ ]{x}-3$

8.

Find the inverse of f(x)

$f\left(x\right)=\sqrt[\ ]{x}+7$

a)

f^-1=(x+7)²

b)

f^-1=(x-7)²

c)

f^-1=x² - 7

d)

f^-1=x² + 7

9.

Find the inverse

$f\left(x\right)=\left(x-3\right)^2$

a)

$f^{-1}\left(x\right)=\sqrt[]{x}+3$

b)

$f^{-1}\left(x\right)=\sqrt[]{x}-3$

c)

$f^{-1}\left(x\right)=3+\sqrt[3]{x}$

d)

$f^{-1}\left(x\right)=\sqrt[3]{x}+3$

10.

$g\left(x\right)=x^2+1$ and $h\left(x\right)=x-7$
Find $h\left(g\left(5\right)\right)$

a)

-1

b)

5

c)

12

d)

19

11.

$f\left(x\right)=x-3$ and $g\left(x\right)=2x+6$
Find $g\left(f\left(-1\right)\right)$

a)

-2

b)

-1

c)

1

d)

16

12.

$f\left(x\right)=2x+5$ and $g\left(x\right)=x-7$
Find $f\left(g\left(5\right)\right)$

a)

-1

b)

1

c)

8

d)

9

13.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

14.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

15.

Solve each equation. Round your answers to the nearest ten-thousandth.

a)

19.1474

b)

.9688

c)

.0971

d)

-9.0312

16.

Solve the equation. Round your answers to the nearest ten-thousandth.

a)

.5573

b)

5.5732

c)

-.5573

d)

55.7321

17.

Solve for x.
3^x = 27

a)

2

b)

4

c)

3

d)

5

18.

Solve

a)

A

b)

B

c)

C

d)

D

19.

Solve

a)

A

b)

B

c)

C

d)

D

20.

Solve

a)

A

b)

B

c)

C

d)

D

21.

Solve

a)

A

b)

B

c)

C

d)

D

22.

Evaluate log₅25 = x

a)

2

b)

5

c)

125

23.

Write in logarithmic form:
9² = 81

a)

log ₉ 81 = 2

b)

log ₂ 81 = 9

c)

log ₉ 2 = 81

d)

log ₂ 9 = 81

24.

Write in exponential form:

log ₂ 32 = 5

a)

2⁵ = 32

b)

5² = 32

c)

5³² = 2

d)

2³² = 5

25.

Sovle for x.

5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

Exponential and Logarithms Quiz

Total questions: 25

Worksheet time: 2hrs 5mins

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