Free Printable 5/24-29 Semester 2 Alg 2 Final

1.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

2.

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

3.

Factor the polynomial.
x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

x+2)(x+5)

4.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

5.

Factor:

56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

6.

Factor
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

7.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

8.

Factor the Polynomial

3x³- 4x² + 9x - 12

a)

(x² + 3) (3x - 4)

b)

(x² - 3) (3x + 4)

c)

(3x² + 3) (x - 4)

d)

(3x² - 3) (x + 4)

9.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

10.

The axes divide the coordinate plane into four sections called what?

a)

ordered pairs

b)

origins

c)

quadrants

d)

coordinate plane

11.

In which quadrant is the following point?
(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

Name the quadrant where POINT B is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

13.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

14.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

15.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

e)

f(1) = -1

16.

Given the graph,

find the value of x when $f\left(x\right)=5$

a)

$x=7$

b)

$f\left(5\right)=3$

c)

$x=5$

d)

$x=3$

e)

$f\left(5\right)=7$

17.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

c)

a special type of function

d)

a function with more than 1 output for every input

e)

Same as an output

18.

Which graph represents a function?

a)

b)

c)

d)

19.

Which image is NOT the graph of a function?

a)

b)

c)

d)

20.

Does the table represent a function?

a)

Yes

b)

No

21.

$h\left(x\right)=x^2-2x+4$

Find $h\left(3\right)$

a)

7

b)

9

c)

25

d)

5

e)

-9

22.

$f\left(x\right)=-5x+10$

Find $f\left(x\right)=-5$

(a)

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

Opposite Tom's home is a hill. Tom climbed slowly up the hill, walked across the top, and then ran quickly down the other side.

b)

Tom walked home then he stopped and waited to watch the sky. After that, he ran to get home .

c)

Tom was walking to the park. He stopped and waited so the baby chicks could pass.

25.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

26.

Which set of values is a function?

a)

{(9,5) (10,5) (9,-5) (10,-5)}

b)

{(3,4) (4,-3) (7,4) (3, 8)}

c)

{(6,-5) (7, -3) (8, -1) (9, 1)}

d)

{(2, -2) (5, 9) (5, -7) (1, 4)}

27.

Given f(x)=0.5x²+4x and g(x)=7-2x, find f(4)-g(3).

a)

19

b)

23

c)

7

d)

1

28.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

29.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

30.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

31.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

32.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

33.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

34.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

35.

The Index in the radical expression is the number

a)

3

b)

8

c)

1

d)

0

36.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

37.

∛125

a)

5

b)

4

c)

6

d)

7

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

√96p⁹

a)

4p³

b)

4p⁴√p

c)

4p⁴√6p

d)

4p⁴√2p

41.

√343k⁴

a)

7k²√7

b)

49k²√7

c)

6k²√7

d)

k²√7

42.

$6\sqrt{3}+2\sqrt{75}-4\sqrt{27}$

Simplify:

a)

$16\sqrt{3}-12\sqrt{2}$

b)

$2\sqrt{15}$

c)

$28\sqrt{3}$

d)

$4\sqrt{3}$

43.

Simplify:

a)

$4\sqrt{30}$

b)

$\sqrt{4}\sqrt{30}$

c)

$\sqrt{2}\sqrt{30}$

d)

$2\sqrt{30}$

44.

$6\sqrt{2}⋅5\sqrt{14}$

Simplify:

a)

$32\sqrt{7}$

b)

$60\sqrt{7}$

c)

$2\sqrt{7}$

d)

$30\sqrt{7}$

45.

Simplify:

a)

A

b)

B

c)

C

d)

D

46.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

47.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

48.

What is the probability of flipping this quarter and landing on tails?

a)

1/4

b)

1/3

c)

1/2

d)

2/3

49.

Look at the set of blocks. What is the probability of choosing a red block? (simplify your answer)

P(red) =

a)

1/5

b)

2/7

c)

1/6

d)

1/12

50.

What is the probability of selecting an orange candy?

a)

0%

b)

25%

c)

50%

d)

100%

5/24-29 Semester 2 Alg 2 Final

Total questions: 50

Worksheet time: 3hrs 38mins

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