Free Printable Semester 2 - Algebra 2

1.

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

2.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

3.

What is the value of 5!

a)

25

b)

15

c)

120

d)

720

4.

What does the P stand for in _nP_r?

a)

Partners

b)

Positions

c)

Papers

d)

Permutations

5.

₇P₂

a)

0

b)

7

c)

42

d)

210

6.

How would you solve?

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

a)

Permutation

b)

Counting Principles

c)

Factorial

d)

Combination

7.

What is the probability of spinning a shade of blue?

a)

1/5

b)

2/5

c)

3/5

d)

4/6

8.

Factor and Solve

2x² - 3x - 2 = 0

a)

x = 1, x = -1

b)

x = -1/2, x = 2

c)

x = 1/2, x = 2

d)

x = 1/2, x = 1

9.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

10.

How many outcomes are there with tossing a coin and rolling a dice?

a)

2

b)

6

c)

12

d)

24

11.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

12.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

$\frac{3}{7}\times\frac{3}{7}$

b)

$\frac{4}{7}\times\frac{4}{7}$

c)

$\frac{4}{7}\times\frac{3}{6}$

d)

$\frac{4}{7}\times\frac{3}{7}$

13.

What is the largest perfect square that you use to simplify

\sqrt{24}

a)

1

b)

4

c)

9

d)

16

14.

Simplify

\sqrt{24}

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{4}$

15.

Simplify:

\sqrt{98}

a)

$7\sqrt{2}$

b)

$2\sqrt{7}$

c)

$49\sqrt{2}$

d)

$2\sqrt{49}$

16.

a)

(x + 2)(x - 7)

b)

(x - 2)(x - 7)

c)

(x - 2)(x + 7)

d)

(x + 2)(x + 7)

17.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

18.

Simplify:

\sqrt{x^2y^7}

a)

$xy^3$

b)

$xy^3\sqrt{y}$

c)

$xy^3\sqrt{xy}$

19.

Multiply:

3\sqrt{8}\times4\sqrt{10}

a)

$12\sqrt{80}$

b)

$7\sqrt{80}$

c)

$24\sqrt{20}$

d)

$48\sqrt{5}$

20.

Simplify:

2\sqrt{24}+5\sqrt{54}

a)

$7\sqrt{78}$

b)

$19\sqrt{6}$

c)

$7\sqrt{6}$

21.

Simplify $\sqrt{56}$

a)

$2\sqrt{14}$

b)

$4\sqrt{14}$

c)

$2\sqrt{28}$

d)

$2\sqrt{9}$

22.

6!

a)

6

b)

46656

c)

720

d)

21

23.

Simplify this

a)

90

b)

2

c)

1/2

d)

none of these

24.

What is the probability of spinning green?

a)

0

b)

$\frac{1}{4}$

c)

$\frac{1}{2}$

d)

$\frac{3}{4}$

25.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

26.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

27.

What is 4! called?

a)

Fabulous Four

b)

Final Four

c)

Four Factorial

d)

Four Factored

28.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

29.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

30.

a)

A

b)

B

c)

C

d)

D

31.

Solve using square roots.
k² - 6 = 43

a)

k = √37

b)

k = 37 or - 37

c)

k = 7, k = -7

d)

no solution

32.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

33.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

34.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

35.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

36.

a)

(x - 12)(x - 3)

b)

(x + 3)(x + 12)

c)

(x + 12)(x - 3)

d)

(x + 3)(x - 12)

37.

a)

(x + 6)(x + 2)

b)

(x + 3)(x + 4)

c)

(x - 4)(x - 3)

d)

(x - 2)(x - 6)

38.

What is the mode of the following set of numbers: 2, 3, 3, 5, 7

a)

2

b)

3

c)

5

d)

7

39.

Match the following

a)

Mean

1.

The "Average" of a set of numbers

b)

Median

2.

The middle value of a set of numbers

c)

Mode

3.

The most frequently occurring number in a set

d)

Range

4.

The difference between the highest and lowest values in a set

40.

What is the mean?
4, 5, 6, 7, 3, 4, 10, 1

a)

40

b)

48

c)

5

d)

8

41.

Solve using the Quadratic Formula:
$x^2+10x+9=0$

a)

$x=1\ or\ x=9$

b)

$x=-1\ or\ x=-9$

c)

$x=-2\ or\ x=-18$

d)

No real solutions

Semester 2 - Algebra 2 - Final

Total questions: 41

Worksheet time: 2hrs 13mins

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