Free Printable Algebra 2 Final Exam Review

1.

State the domain of the given relation:

a)

{2, 3, 7}

b)

{1, 4}

c)

{1, 2, 3, 4, 7}

2.

State the range of the given relation.

a)

{2, 3, 7}

b)

{1, 4}

c)

{1, 2, 3, 4, 7}

3.

Which point is the minimum value?

A

B

C

D

4.

There is a graph of a quadratic function shown. It has a (a) value of (b) .

Choose from the below words

maximum

4

minimum

x=1

(0,3)

-1

3

5.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

6.

4⁰

a)

0

b)

1

c)

4

d)

-4

7.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

8.

Simplify:

a)

2

b)

8

c)

16

d)

32

9.

Simplify √24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

10.

Simplify completely using factor trees

a)

No Real Answer

b)

c)

d)

$\sqrt{144}$

11.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

12.

What is the first step in finding the equation of the inverse of a function?

a)

get x by itself

b)

switch x and y

c)

solve for y

d)

write the function in inverse function notation

13.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

14.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

15.

Match the following

a)

$y=a\left|x-h\right|+k$

1.

Absolute Value Function

b)

$y=a\left(x-h\right)^2+k$

2.

Quadratic Function in Vertex Form

c)

$y=ax^2+bx+c$

3.

Quadratic Function in Standard Form

d)

$y=a\sqrt[]{x-h}+k$

4.

Radical Function

e)

$y=mx+b$

5.

Linear Function

16.

Match the following

a)

1.

Absolute Value Function

b)

2.

Quadratic Function

c)

3.

Exponential Function

d)

4.

Radical Function

e)

5.

Linear Function

17.

Which is the graph of the following equation?

$y=\sqrt[]{x+4}$

a)

b)

c)

d)

18.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

19.

What is the common ratio of this sequence?

{2, 10, 50, 250, ... }

[What are we multiplying by to get the next term?]

a)

1,250

b)

5

c)

10

d)

50

20.

What is the equation that best represents the graph?

a)

y=2^y

b)

y=2^x

c)

y=2^-x

d)

y=x²

21.

Is the pictured graph exponential growth, exponential decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

22.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

23.

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x?

a)

y=0.5

b)

y=13

c)

y=6

d)

y=0

24.

Condense

a)

A

b)

B

c)

C

d)

D

25.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

26.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

27.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

28.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

29.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

30.

What form of a Quadratic is this equation?

y = x² + 4x - 6

a)

vertex

b)

standard

c)

Factored Form

31.

What form of a Quadratic is this equation?

y = 3(x - 6)(x + 3)

a)

vertex

b)

standard

c)

Factored

32.

What form of a Quadratic is this equation?
$y=\ (x+3)^2-7$

a)

vertex

b)

standard

c)

Factored

33.

What is the Vertex for this function?
$y=2(x-3)^2-2$

a)

(-3, -2)

b)

x = -2

c)

(3, -2)

d)

(-3, -2)

e)

(6, -2)

34.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

35.

What are the roots of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

36.

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

a)

10

b)

(10 , 0) and (-10 , 0)

c)

(0, -10) and (0, 10)

d)

0

37.

Find the equation of the axis of symmetry.
$f\left(x\right)=-3\left(x\ -\ 4\right)^2+2$

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

e)

x = -3

38.

Here is a graph that represents a quadratic function.

Which expression could define this function?

a)

$\left(x+3\right)\left(x+1\right)$

b)

$\left(x+3\right)\left(x-1\right)$

c)

$\left(x-3\right)\left(x+1\right)$

d)

$\left(x-3\right)\left(x-1\right)$

39.

The formula to find the Axis of Symmetry :

a)

b)

c)

40.

What letter usually represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

41.

What is $\sqrt{-1}$ ?

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

42.

Simplify $\sqrt{-64}$

a)

$8i$

b)

$-8$

c)

$8$

d)

$\pm8i$

43.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

44.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

45.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

46.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

47.

Solve the following by isolating the squared expression, then taking the square root of both sides.

$4\left(x-5\right)^2=12$

a)

$\left(4x+20\right)^2=12$

b)

$x=5\pm\sqrt[]{3}$

c)

$x=-5\pm\sqrt[]{3}$

d)

$x=5\pm\frac{1}{2}\sqrt[]{3}$

48.

Complete the quadratic formula

Black question mark (a)

Blue question mark (b)

Red question mark (c)

Choose from the below words

$-b$

$b^2-4ac$

$2a$

$b$

$2b-4ac$

$b^2-4c$

$2$

$a^2$

$b^2-ac$

$2b$

49.

Solve by the Square Root method: x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

50.

Which value will make your denominator a 0?

a)

-4

b)

-3

c)

3

d)

0

51.

Simplify: $\frac{2x\left(x+9\right)\left(x-1\right)}{3x\left(x-1\right)\left(x+9\right)}$

a)

$\frac{2\left(X+9\right)}{X}$

b)

$\frac{2}{3}$

c)

$\frac{2x}{3x}$

d)

$\frac{\left(X+9\right)}{2X}$

52.

$\ \frac{2x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}$ Simplify.

a)

2x

b)

2x(x+5)

c)

$\frac{2x}{\left(x+5\right)}$

d)

$\frac{2x}{\left(x-5\right)}$

53.

Add or Subtract : $\frac{3x}{y}+\frac{15x}{y}$

a)

$\frac{18x}{y}$

b)

$\frac{12x}{y}$

c)

$\frac{20x}{y}$

54.

Add or Subtract : $\frac{3x+2y}{3z}-\frac{15x-12y}{3z}$

a)

$\frac{-12x+14y}{3z}$

b)

$\frac{15x+14y}{6z}$

c)

$\frac{18x+14y}{3z}$

55.

Perform the operation

a)

A

b)

B

c)

C

d)

D

56.

Solve by cross-multiplying.

a)

x = -1, 5

b)

No Solution

c)

x = -4, 5

d)

x= -4

57.

Solve.

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

58.

$\left|\ -\frac{\ 4}{\ \ 7}\right|\ =$

a)

$-\frac{4}{\ 7}$

b)

-0.571

c)

$\frac{4}{7}$

d)

1.75

59.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

60.

Choose the correct equation for the graph.

a)

$y=\left|x\right|$

b)

$y=\left|-x\right|$

c)

$y=-\left|x\right|$

d)

$y=\left|x+4\right|$

Algebra 2 Final Exam Review

Total questions: 60

Worksheet time: 2hrs 26mins

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