Free Printable 4.5-4.7 Algebra 2 Review

1.

Solve for x. Round your answer to the nearest hundreth.

5e^x+12=55

(a)

2.

What is full of holes but still holds water?

(a)

3.

Solve using the properties.

log₂(4x) + log₂5 = log₂40

a)

2

b)

1

c)

10

d)

8

4.

What is this Canadian province?

a)

Yukon

b)

British Columbia

c)

Northwest Territories

d)

Nova Scotia

5.

Condense into a single logarithm.

$\log_312\ +\ \log_34\ -\ \log_36$

a)

$\log_310$

b)

$\log_38$

c)

$\log_914$

d)

$\log_610$

6.

What has to be broken before you can use it?

(a)

7.

$\log_416$

Select all answers that are equivalent to

a)

$\frac{\log16}{\log4}$

b)

$\log_44+\log_44$

c)

$\log_432-\log_42$

d)

$\frac{\ln16}{\ln4}$

8.

In what year was the first Superbowl played?

a)

1958

b)

1962

c)

1951

d)

1967

9.

Fit an exponential model that would go through (4,9) and (5, 12).

a)

$y=6.78x^{3.21}$

b)

$y=1.8\left(5.6\right)^x$

c)

$y=1.5x^{1.29}$

d)

$y=2.84\left(1.33\right)^x$

10.

What year did Jackson first open a school that served grades 9-12 ?

a)

1882

b)

1900

c)

1932

d)

1953

11.

Fit a power function to this data:

a)

$y=0.00002x^3$

b)

$y=2\left(3\right)^x$

c)

$y=2x^3$

d)

$y=0.02x^3$

12.

Maria invested $5000 compounding continuously at 12% for a period of time. How many years until she has a milllion dollars?

a)

30 years

b)

45 years

c)

50 years

d)

65 years

13.

What country does this flag belong to?

a)

Peru

b)

Brazil

c)

Chile

d)

Suriname

14.

Solve for x and round your answer to the nearest tenth.

3^{5x}+10=100

(a)

15.

How would you use "change of base" to solve

\log_219

?

a)

$\frac{\log19}{\log2}$

b)

$\frac{\log2}{\log19}$

c)

$\log2\times\log19$

d)

$\log17$

16.

Solve for x.

$\log_5\left(x+8\right)=3$

(a)

17.

These two are from...

a)

Pocahontas

b)

Frozen

c)

Lilo & Stitch

d)

Moana

18.

Solve for x.

$\log\left(x+7\right)=\log\left(2x+10\right)$

(a)

19.

What is the largest state in the United States?

a)

Texas

b)

Alaska

c)

California

d)

Montana

20.

Condense into a single logarithm

2\log5-3\log10+2\log2

a)

$\log25$

b)

$\log30$

c)

$\log\left(\frac{5}{12}\right)$

d)

$\log\left(\frac{1}{10}\right)$

21.

What movie is this?

a)

Princess and the Frog

b)

Beauty and the Beast

c)

Little Mermaid

d)

Sleepy Beauty

22.

solve for x and round to the nearest tenth:

10e^x+13=59

(a)

23.

Which country eats the most chocolate (per person)?

a)

USA

b)

China

c)

Columbia

d)

Switzerland

24.

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

a)

-1

b)

5

c)

4

d)

1

25.

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

a)

8

b)

3

c)

-3

d)

1

26.

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

a)

1

b)

0

c)

5

d)

-1

27.

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

a)

0

b)

log₆5

c)

log₆1

d)

1

28.

Evaluate.
3 log₂4

a)

3

b)

6

c)

2

d)

4

29.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

30.

Write in logarithmic form.
2^-4 = ¹/₁₆

a)

log₂(¹/₁₆) = -4

b)

log_-4(¹/₁₆) = 2

c)

log_-4 2 = ¹/₁₆

d)

log₂(-4) = ¹/₁₆

31.

Write in exponential form.
log₂(¹/₈) = -3

a)

2^-3 = ¹/₈

b)

2^1/8= -3

c)

-3² = ¹/₈

d)

-3^1/8 = 2

32.

log(4x)

a)

log4-logx

b)

log4+logx

c)

4logx

d)

xlog4

33.

log(xy²)

a)

logx+2logy

b)

logx+logy²

c)

logx-2logy

d)

logx+logy+log2

34.

$\log\left(\frac{m^3}{n}\right)$

a)

logm-log3-logn

b)

3logm+logn

c)

3logm-logn

d)

3log(m-n)

35.

Solve the equation. 3^x = 243

a)

x = 3

b)

x = 1

c)

x = 10

d)

x = 5

36.

7^y = 15

a)

2.8970

b)

1.3917

c)

1.8956

d)

5.2342

37.

Who is this character?

a)

Moana

b)

Merida

c)

Pocahontas

d)

Lilo

38.

7^3x-1 = 21

a)

x = 1.5645

b)

x = 1.8549

c)

x = 0.8549

d)

x = .7741

39.

Solve using the properties log₅x - log₅2 = log₅15

a)

6

b)

8

c)

15

d)

30

40.

Solve using the properties. 3log₄a = log₄27

a)

16

b)

27

c)

3

d)

9

41.

Who's face is on the dime?

a)

Lincoln

b)

Roosevelt

c)

Jefferson

d)

Washington

42.

What movie says "Hakuna Matata"?

a)

Lilo and Stitch

b)

Toy Story

c)

The Jungle Book

d)

The Lion King

43.

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

a)

log₅69

b)

log₅56

c)

log₅162

d)

log₅98

4.5-4.7 Algebra 2 Review

Total questions: 43

Worksheet time: 2hrs 32mins

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