Free Printable Hunter 3rd Q Review Algebra 2

1.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

2.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

3.

Simplify completely: 4²4³

a)

1024

b)

4⁶

c)

16⁵

d)

4⁵

4.

Simplify: x¹⁰⋅x⁴

a)

x⁴⁰

b)

x¹⁴

c)

x⁶

d)

2x¹⁴

5.

Simplify: x⁸/x²

a)

x¹⁶

b)

x⁴

c)

x⁵

d)

x⁶

6.

Simplify: 7p⁰

a)

7

b)

1

c)

simplified

d)

7p

7.

log (2 * 3) = ?

a)

log 2 + log 3

b)

log 2 * log 3

c)

log 2 - log 3

d)

log 5

8.

log (2 / 3) = ?

a)

log 2 + log 3

b)

log 2 / log 3

c)

log 2 - log 3

d)

2/3 * log 1

9.

log (3²) =?

a)

log 6

b)

2 log 3

c)

log₂ 3

d)

log₃ 2

10.

Write log_b(x/y) as two logs

a)

log_bx-log_by

b)

log_bx+log_by

c)

log_bx*log_by

d)

log_bx/log_by

11.

Rewrite in exponential form:
2=log₉x

a)

9^x=2

b)

2^x=9

c)

2⁹=x

d)

9²=x

12.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

13.

$\log_7343=$

(a)

14.

Solve:

ln(x+8) - ln (8) = 3

a)

152.68

b)

188.77

c)

4.24

d)

8.01

15.

$\log\ \left(9-x\right)=\log\ \left(2x-6\right)$

a)

5

b)

-11

c)

$\frac{18}{19}$

d)

-4

16.

$\log_9\left(r-8\right)\ =\ 2$

a)

55

b)

$\frac{11}{6}$

c)

89

d)

6

17.

$-8\ +\ \log_6\ \left(x\ +\ 1\right)\ =\ -7$

a)

5

b)

6

c)

$-\frac{1000}{9}$

d)

124

18.

x²+ 12x + 32 = 0

a)

x = -4, 8

b)

x = 4, 8

c)

x = -4, -8

d)

x = 0, 12

19.

Solve the trinomial:

12x²-12x - 24 = 0

a)

-1,2

b)

1,2

c)

1,-2

d)

-1,-2

20.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

21.

64x³ + 125

a)

(4x - 5)(16x² + 20x + 25)

b)

(4x + 5)(16x² - 20x + 25)

c)

(4x - 5)(16x² + 20x - 25)

d)

(4x + 5)(16x² - 20x - 25)

22.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

23.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

24.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

25.

Divide the Rational Expression

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

b)

c)

d)

29.

a)

b)

c)

d)

30.

a)

b)

c)

d)

31.

a)

b)

c)

d)

32.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

33.

The chart below represents the number of marbles in a jar.
P(green) =

a)

5/19

b)

10/28

c)

5/14

d)

17/38

34.

What is the probability of rolling 15 with a pair of dice?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

35.

If all items chosen are treated the same it is a ....

a)

Comparision

b)

Permutation

c)

Combination

d)

Position

36.

If all items chosen are treated differently it is a ...

a)

Comparision

b)

Permutation

c)

Combination

d)

Position

37.

How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?

a)

24

b)

56

c)

128

d)

336

38.

You flip a coin three times. What is the probability of three consecutive heads?

a)

½

b)

⅓

c)

⅙

d)

⅛

39.

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

a)

462

b)

55440

c)

55

d)

1000

40.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

1

b)

3628800

c)

100

d)

1814400

41.

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

a)

5040

b)

35

c)

28

d)

840

42.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

a)

0.962

b)

0.132

c)

0.831

d)

0.250

43.

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.
What is the probability of getting exactly 6 questions correct on this test?

a)

0.6%

b)

0.00001%

c)

0.0064%

d)

0.0002%

44.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

45.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

46.

₂₀P₂

a)

20

b)

380

c)

6840

d)

116280

47.

What does ₁₀P₅mean?

a)

Permutations with 5 choices and 10 positions

b)

Permutations with 10 choices and 5 positions

c)

Permutations with 5 numbers and 10 operations

d)

Permutations with 5 hot dogs and 10 drinks

48.

Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

c)

Neither

49.

7!

a)

4050

b)

5400

c)

5040

d)

4500

50.

Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.

a)

625

b)

4.36 X 10¹⁰

c)

1,081,575

Hunter 3rd Q Review Algebra 2

Total questions: 50

Worksheet time: 3hrs 31mins

Similar Resources on Wayground