Free Printable Algebra 2 Fall Final

1.

Which form has x & y on the SAME side of the equal sign?

a)

Standard Form

b)

Slope-Intercept Form

c)

Point-Slope Form

d)

Vertex Form

e)

Factored Form

2.

Select ALL the information that

Slope-Intercept Form tells you just by looking at the equation:

a)

Slope

b)

y-intercept (0,#)

c)

x-intercept (#,0)

d)

Point (#,#)

e)

Shading

3.

Select ALL the information that

Standard Form tells you just by looking at the equation:

a)

Slope

b)

y-intercept (0,#)

c)

x-intercept (#,0)

d)

None / Nothing

e)

Point (#,#)

4.

Select ALL the information that

Point-Slope Form tells you just by looking at the equation:

a)

Slope

b)

y-intercept (0,#)

c)

x-intercept (#,0)

d)

Point (#,#)

e)

Shading

5.

How many solutions does this system have?

a)

1 solution

b)

2 solutions

c)

No solution

d)

Infinite solution

e)

3 solutions

6.

What is this formula?

a)

The Distance Formula

b)

The Quadratic Formula

c)

The Slope Formula

d)

This Zero Product Property Formula

e)

Pythagorean's Therorem

7.

All the following are Perfect Squares except for which one?

a)

64

b)

36

c)

169

d)

132

e)

256

8.

What's the y-intercept?

y=\left(2x-3\right)\left(x-4\right)

(a)

9.

I am allowed to combine 2x + 8

and write 10x ?

a)

Yes

b)

No

c)

It depends on the equation

10.

Select all the graphs that have

Negative Slopes:

a)

b)

c)

d)

e)

11.

Select all the graphs the have negative y-intercepts:

a)

b)

c)

d)

e)

12.

What is the solution?

Write answer as a coordinate with NO SPACES!

(a)

13.

y = 2x + 1

y = 4x - 1

Solve the System using the Graphing Method. Write answer as a coordinate with NO SPACES!

(a)

14.

What's the solution to the system?

(a)

15.

x - 2y = 4

3x +2y = 4

Solve the System using the Graphing Method. Write answer as a coordinate with NO SPACES!

(a)

16.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

17.

Select the Standard and Factored Form of this parabola:

a)

y = (x - 2)(x - 6)

b)

y = x² - 8x + 12

c)

y = (x + 2)(x + 6)

d)

y = (x + 4)(x - 4)

e)

y = -x² + 8x + 12

18.

Write are the Standard and Factored Form of this parabola?

a)

y = (x - 1)(x + 3)

b)

y = (x + 1)(x - 3)

c)

y = x² + 2x - 3

d)

y = x² - 2x - 3

e)

y = -x² + 2x - 3

19.

What is a quadratic function in factored form with x-intercepts of 5 and -2

a)

y = x² - 2x + 5

b)

y = (x + 5)(x - 2)

c)

y = (x - 5)(x + 2)

d)

y = x² + 5x -2

e)

y = x² - 3x -10

20.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

a)

(8,0) and (2,0)

b)

(8, 2)

c)

(-8,0) and (-2,0)

d)

(-8, -2)

e)

(0,16)

21.

Select the Standard and Factored Form equations for this graph:

a)

$y=2x\left(x-4\right)$

b)

$y\ =\ 2x^{2\ }-8x$

c)

$y=-2x^{2\ }+8x$

d)

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

e)

$y=x^{2\ }-4$

22.

What is the first step when factoring Quadratics?

a)

Find the GCF

b)

Place the x² term and constant into the box

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

23.

Factor: 2x² + 11x + 14

Write answer with no spaces

(a)

24.

Factor: x²- 25

Write answer with no spaces

(a)

25.

Factor: 10x² - 15x

*Write answer with no spaces

(a)

26.

Factor: 3x² + 5x - 12

*Write answer without spaces

(a)

27.

Factor: 2x²+22x+60

*Write answer without spaces

(a)

28.

If you are graphing a quadratic function, what shape will it's graph make?

a)

Parabola

b)

Line

c)

V Shape

d)

Circle

e)

It depends on the Quadratic

29.

How can you tell if an equation is quadratic?

a)

It's highest exponent is 2

b)

It has an x

c)

It has a y-int

d)

It's highest exponent is 4

e)

It's highest exponent is 1

30.

Select all the equations that are Linear:

a)

$2x-4y=8$

b)

$y=3x-5$

c)

$y+1=2\left(x-4\right)$

d)

$y=x^2+8x+7$

e)

$y=\left(x-1\right)\left(2x+3\right)$

31.

Select all the equations that are Quadratic:

a)

$2x-4y=8$

b)

$y=3x-5$

c)

$y+1=2\left(x-4\right)$

d)

$y=x^2+8x+7$

e)

$y=\left(x-1\right)\left(2x+3\right)$

32.

What's the y-int?

10x² - 15x

*Write answer with no spaces

(a)

33.

What's the y-int?

y = x² - 3x - 18

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

*Write answer without spaces

(a)

34.

Which form's constant is known to be the y-int?

a)

Factored Form

b)

Standard Form

c)

Graphing Form

d)

Vertex Form

e)

Point Slope Form

35.

Select all the ways to find the y-int of a quadratic:

a)

Look at the constant in Standard Form

b)

Zero Product Property

c)

Quadratic Formula

d)

Plug in 0 for y

e)

Plug in 0 for x

36.

When you use the Quadratic Formula, what features are you finding?

a)

x-ints

b)

y-int

c)

Slope

d)

Vertex

e)

Line of Symmetry

37.

When you use the Zero Product Property, what features are you finding?

a)

x-ints

b)

y-int

c)

Slope

d)

Vertex

e)

Line of Symmetry

38.

When you plug in 0 for x, what features are you finding?

a)

x-ints

b)

y-int

c)

Slope

d)

Vertex

e)

Line of Symmetry

39.

When you plug in 0 for y, what features are you finding?

a)

x-ints

b)

y-int

c)

Slope

d)

Vertex

e)

Line of Symmetry

40.

Select all the ways to find the x-int(s) of a quadratic:

a)

Look at the constant in Standard Form

b)

Plug in 0 for y & Zero Product Property

c)

Plug in 0 for y & Quadratic Formula

d)

Look at the constant in Factored Form

e)

Plug in 0 for x

41.

What happens when you type the square root of a negative number into the calculator?

a)

You'll get a positive answer

b)

You'll get a negative answer

c)

You'll get an Error

d)

You'll get a posiive and negative answer

e)

You'll get 0

42.

What is the square root of a negative number?

a)

Imaginary Number

b)

Real Number

c)

Rational Number

d)

Irrational Number

e)

A Perfect Square Number

43.

What is a quadratic function in Standard Form with x-intercepts at 5 and -2 ?

a)

y = x² - 2x + 5

b)

y = (x + 5)(x - 2)

c)

y = (x - 5)(x + 2)

d)

y = x² + 5x -2

e)

y = x² - 3x -10

44.

If a parabola goes downward, what do you know about it's equation?

a)

In Standard Form, the x² term is negative

b)

In Factored Form, the x² term is negative

c)

The y-int is negative

d)

The slope is negative

e)

The Line of Symmetry is negative

45.

Given y + 6 = 10( x - 9) , what is the point used to write this equation?

a)

(10, 1)

b)

(6, -9)

c)

(-6, 9)

d)

(9, -6)

e)

(-9, 6)

46.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

$y=\frac{10}{5}x-3$

c)

y + 5= -3(x + 10)

d)

10x - 5y = -3

e)

-3x + 5y = 10

47.

Write the slope intercept form of the equation 6x + 5y = -15

a)

y = 6/5x - 3

b)

y = -6/5x - 3

c)

y = -6/5x + 3

d)

y = 6/5x + 3

48.

Write the slope intercept form of the equation 4x - y = 1

a)

y = -4x + 1

b)

y = 4x + 1

c)

y = 4x - 1

d)

y = -4x - 1

49.

Graph 2x + 4y = 4

a)

b)

c)

d)

50.

Select all the words the mean the same thing as x-ints

a)

Roots

b)

Zeros

c)

Slopes

d)

Square Roots

e)

Imaginary Numbers

51.

Simplify $\sqrt{54}$

a)

$9\sqrt{6}$

b)

$6\sqrt{3}$

c)

$6\sqrt{9}$

d)

$3\sqrt{6}$

e)

Imaginary Number

52.

Simplify $\sqrt{500}$

a)

$4\sqrt{125}$

b)

$5\sqrt{10}$

c)

$10\sqrt{5}$

d)

$10\sqrt{50}$

e)

Imaginary Number

53.

Select all the Quadratics in Standard Form:

a)

$y=x^2+6x+8$

b)

$y=x^{2\ }-25$

c)

$y=2x^2+6x$

d)

$y=\left(2x-1\right)\left(4x+3\right)$

e)

$y=3x\left(x-5\right)$

54.

Select all the Quadratics in Factored Form:

a)

$y=x^2+6x+8$

b)

$y=x^{2\ }-25$

c)

$y=2x^2+6x$

d)

$y=\left(2x-1\right)\left(4x+3\right)$

e)

$y=3x\left(x-5\right)$

55.

Select all the x-ints

a)

( 0 , 4 )

b)

( -2 , 0 )

c)

( 0 , 0 )

d)

( -2 , 4 )

e)

( 1 , 3 )

56.

Select all the y-ints

a)

( 0 , 4 )

b)

( -2 , 0 )

c)

( 0 , 0 )

d)

( -2 , 4 )

e)

( 1 , 3 )

57.

If you wanted to use the Quadratic Formula, what's the b-value?

y = 4x²- 9

a)

4

b)

9

c)

-9

d)

0

e)

1

58.

If you wanted to use the Quadratic Formula, what's the b-value?

y = 3x²- x + 7

a)

3

b)

7

c)

-1

d)

0

e)

1

59.

If you are graphing a linear function, what shape will it's graph make?

a)

Parabola

b)

Line

c)

V Shape

d)

Circle

e)

It depends on the Linear

60.

If you were going to use the quadratic Formula, identify the a, b and c

y = 2x + 5 - 4x²

a)

a = 2 , b = 5 , c = -4

b)

a = -4 , b = 2 , c = 5

c)

a = 4 , b = -2 , c = -5

d)

a = 2 , b = -4 , c = 5

e)

a = 5 , b = -4 , c = 2

61.

What is (-7)²

(a)

62.

Factor by grouping:

5x²- 10x + 3x - 6

(a)

63.

Factor by grouping:

4x²+ 8x + 3x + 6

(a)

Algebra 2 Fall Final

Total questions: 63

Worksheet time: 1hrs 15mins

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