Free Printable Algebra 2 CP Final Exam Review

1.

Factor: x² -10x +25

a)

(x - 5)(x + 5)

b)

(x - 5)²

c)

(x + 5)²

d)

prime

2.

Solve the system.

a)

(5, -5) and (3, -13)

b)

x = -5 and x = 3

c)

(-3, -37) and (5, -5)

d)

(5, 5)

3.

Simplify.

a)

b)

c)

d)

4.

Write the equation that is the translation of y = |x| left 10 units and down 5 units.

a)

y = |x + 10| - 5

b)

y = |x - 5| - 10

c)

y = |x + 5| - 10

d)

y = |x - 10| - 5

5.

Graph the function y = -2|x| + 5.

a)

b)

c)

d)

6.

$Solve:\ \frac{-1}{x+4}=\frac{4}{x+3}$

a)

$-\frac{13}{5}$

b)

$-\frac{8}{3}$

c)

$\frac{13}{5}$

d)

$-11$

7.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

8.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

9.

State the common difference:

21, 19, 17, 15, …

(a)

10.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

11.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

12.

Which type of function is shown?

a)

linear

b)

quadratic

c)

absolute value

d)

Square Root

13.

What type of function is $y=2^x\ \ ?$

a)

Logarithmic

b)

Linear

c)

Quadratic

d)

Exponential

14.

Determine which type of function the following is:

$y=5x^2-7x+9$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

15.

Determine which type of function the following is:

$7x+8y=56$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

16.

What is the Vertical Asymptote?

a)

x= -5

b)

x= 5

c)

x= 6

d)

x= -6

17.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

18.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

19.

The standard form of a quadratic function is

a)

y = ax² + bx + c

b)

y=a(x - h)² + k

c)

y - y₁= m(x - x₁)

d)

Ax + By = C

20.

The vertex form of a quadratic function is

a)

y = ax² + bx + c

b)

y=a(x - h)² + k

c)

y - y₁= m(x - x₁)

d)

Ax + By = C

21.

Identify a, b, and c if y = +3x²+5x - 8

a)

a=3, b=5, c= - 8

b)

A=3, B=-8, C=5

c)

A=3x², B=5x, C=-8

d)

A=3x² , B=-8, C=5x

22.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

23.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

24.

What is the axis of symmetry in the function f(x) = (x-1)² +2

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

25.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

26.

What are the solutions of this graph?

a)

x=-2 and 3

b)

x=-1/2 and -6

c)

x=-2 and -6

d)

x=3 and -6

27.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

28.

Simplify $\sqrt{-25}$

a)

$5$

b)

$-5$

c)

$5i$

d)

$-5i$

29.

(2-4i) + (-3-8i)

a)

12i

b)

1-12i

c)

-1-12i

d)

1+12i

30.

Factor:
2x²-8x³

a)

2x²(x-4x²)

b)

2x²(1-4x)

c)

2x³(10-8x²)

d)

3x(1-4x)

31.

Factor:

x²- 81

a)

Unfactorable

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

32.

Solve:

x²+ 4x =32

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

d)

x = -2, 16

33.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t²+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

34.

What is the standard form of the polynomial?

9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

35.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

36.

a)

y = x(x - 3)(x - 2)

b)

y = x(x - 3)²(x+2)

c)

y = x(x + 3)²(x - 2)

d)

y = -x(x + 3)²(x - 2)

37.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

38.

Which graph has a negative leading coefficient?

a)

b)

c)

39.

What is the sign of the leading coefficient of the polynomial function whose graph appears below?

a)

positive

b)

negative

40.

The function shown has:

a)

Degree two with negative leading coefficient.

b)

Degree three with negative leading coefficient.

c)

Degree four with negative leading coefficient.

d)

Degree four with positive leading coefficient.

41.

Find the values of the zeros of the function y=(x+2)(x-3)(x-5)

a)

x=-2, x=3, x=5

b)

x=2, x=-3, x= -5

c)

x=-2, x=3, x=-5

d)

x=2, x=-3, x=-5

42.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

43.

Find the LCD.

$\frac{x^2+4x+4}{x^2-4}+\frac{2}{x+2}$

a)

$\left(x-2\right)$

b)

$\left(x+2\right)$

c)

$\left(x+2\right)\left(x-2\right)$

d)

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

44.

$\frac{10}{x-1}+\frac{7}{x+3}$

a)

$\frac{3}{\left(x+3\right)\left(x-1\right)}$

b)

$\frac{17x+23}{\left(x+3\right)\left(x-1\right)}$

c)

$\frac{17x-4}{\left(x+3\right)\left(x-1\right)}$

d)

$\frac{70}{\left(x+3\right)\left(x-1\right)}$

45.

Solve for x: $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$

a)

$2$

b)

$\frac{18}{5}$

c)

$\frac{26}{5}$

d)

$6$

Algebra 2 CP Final Exam Review

Total questions: 45

Worksheet time: 2hrs 30mins

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