Free Printable Chapter 10

1.

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 years?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

2.

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

a)

$3,243.19

b)

$16,661.35

c)

$15,243.19

d)

$4,661.35

3.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

4.

Willie invests $8,515 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 20 years?

a)

$22,017.32

b)

$23,146.17

c)

$20,021.95

d)

$20,943.52

5.

Evaluate:
log₄16

a)

2

b)

4

c)

1/2

d)

-2

6.

log₄1 =

a)

0

b)

1

c)

4

d)

DNE

7.

Which equation matches this graph?

a)

b)

c)

d)

8.

Which equation matches this graph?

a)

b)

c)

d)

9.

Approximate its value to the nearest ten-thousandths using change of base formula. log₃7

a)

2.7712

b)

1.7712

c)

2

d)

1.7718

10.

7^y = 15

a)

2.8970

b)

1.3917

c)

1.8956

d)

5.2342

11.

6^x+2 = 18

a)

0.3869

b)

-0.3869

c)

1.3869

d)

-1.7594

12.

Solve for x

$e^{\left(3x-1\right)}=2$

a)

0.564

b)

0

c)

0.693

d)

1.079

13.

Solve for x

$2\ln x=0.4$

a)

1.221

b)

0.746

c)

1.492

d)

2.226

14.

Expand the following: $\log_7\left(4x\right)$

a)

$\log_7\left(4\right)+\log_7\left(x\right)$

b)

$\log_7\left(4\right)-\log_7\left(x\right)$

c)

$\log_7\left(x^4\right)$

d)

$4\log_7\left(x\right)$

15.

Solve: $\log_7\left(x-3\right)=2$

a)

x = 5

b)

x = 46

c)

x = 52

d)

x = 10

16.

Solve: $\log\left(6x-4\right)=\log\left(2x+24\right)$

a)

x = 10

b)

x = 7

c)

x = 5

d)

x = 6

17.

Expand the following: $\log_5\left(z^8\right)$

a)

$5\log_8\left(z\right)$

b)

$8\log_5\left(z\right)$

c)

$\log_5\left(8z\right)$

d)

$8+\log_5\left(z\right)$

18.

Expand the following: $\log\left(j^4k^7\right)$

a)

$\log\left(4j\right)+\log\left(7k\right)$

b)

$11\log\left(j+k\right)$

c)

$28\log\left(jk\right)$

d)

$4\log\left(j\right)+7\log\left(k\right)$

19.

Simplify: 2log(x) + 3log(xy)

a)

log(x⁵y³)

b)

log(5xy)

c)

5log(x²y)

d)

log(6x²y)

20.

Condense the following logarithm: 3 log₂x + 2 log₂y – 4 log₂z

a)

log₂x³y²∕z⁴

b)

log₂x³y²z⁴

c)

log₂xyz⁹

d)

9log₂xyz

Chapter 10

Total questions: 20

Worksheet time: 5hrs 0mins

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