Free Printable Honors Algebra 2 Fall Semester Exam Review

1.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

2.

Does this represent a function?

a)

Yes

b)

No

3.

a)

A

b)

B

c)

C

d)

D

4.

Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?

a)

1

b)

3

c)

4

d)

7

5.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

6.

If f(x) = -3x - 8, find f(-3).

(a)

7.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

8.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

9.

Look at the graph. Is the relation a function?

a)

yes

b)

no

10.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

11.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

12.

Which is equivalent to $\left(-\infty,\ \infty\right)$

a)

$-23\ \le x<\infty$

b)

All real numbers

c)

$\left[-\infty,\ \infty\right)$

d)

$\left(\infty,\ -\infty\right)$

13.

Describe the range of the function shown in the graph.

a)

$All\ x\ such\ that\ \left[-3,\ \infty\right)$

b)

$All\ y\ such\ that\ \left[-3,\ \infty\right)$

c)

All real numbers

d)

$0\ \le y\ \le\infty$

14.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

15.

Write the following in interval notation
x ≥ 100

a)

(0, 100] (Real quick)

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

16.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

e)

(8, -7]

17.

Find the domain of the following function.

$f\left(x\right)\ =\ x^3\ +\ 1$

a)

$D:\ \left(-\infty,\ \infty\right)$

b)

$D:\ \left[-\infty,\ \infty\right]$

c)

$D:\ \left(-\infty,\ 1\right]$

d)

$D:\ \left(\infty,\ -\infty\right)$

18.

Find the range of the following function.

$f\left(x\right)\ =\ x^3\ +\ 1$

a)

$R:\ \left(-\infty,\ \infty\right)$

b)

$R:\ \left[-\infty,\ \infty\right]$

c)

$R:\ \left(-\infty,\ 1\right]$

d)

$R:\ \left(\infty,\ -\infty\right)$

19.

Find the x-intercept of the following function.

$f\left(x\right)\ =\ x^3\ +\ 1$

(a)

20.

Find the minimum of the following function on the interval [-2,3].

$f\left(x\right)\ =\ x^3\ +\ 1$

(a)

21.

Find the maximum of the following function on the interval [-2,3].

$f\left(x\right)\ =\ x^3\ +\ 1$

(a)

22.

Find the vertical asymptote of the following function.

$f\left(x\right)\ =\ \frac{1}{x\ +\ 5}\ +\ 3$

(a)

23.

Find the horizontal asymptote of the following function.

$f\left(x\right)\ =\ \frac{1}{x\ +\ 5}\ +\ 3$

(a)

24.

Find the horizontal asymptote of the following function.

$f\left(x\right)\ =\ \frac{1}{x\ -\ 6}\ -1$

(a)

25.

Find the vertical asymptote of the following function.

$f\left(x\right)\ =\ \frac{1}{x\ -6}-1$

(a)

26.

$f\left(x\right)=4x+1$ and $g\left(x\right)=12x^2-10x+1$ .

Find $f\left(x\right)+g\left(x\right)$

a)

$12x^2-6x+2$

b)

$12x^2-14x+2$

c)

$12x^2+14x+2$

d)

$12x^2+6x+2$

27.

$f\left(x\right)=3x^2-10x+1$ and $g\left(x\right)=x^{2\ }-9x+1$

Find $\left(f-g\right)\left(x\right)$

a)

$4x^2+8x-1$

b)

$2x^2-x$

28.

f(x) = 6x - 4

g(x) = 2x - 7

Find (f ⋅ g)(x).

a)

12x² + 50x - 28

b)

12x² - 34x + 28

c)

12x² + 28

d)

12x² - 50x + 28

29.

When f(x) = x²- 9

and g(x) = x + 3 ,

find f(x) / g(x).

a)

x - 3

b)

x + 3

c)

x - 12

d)

x - 6

30.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

31.

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

a)

-9

b)

7

c)

-11

d)

None of these

32.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

33.

f(x) = x²+9 g(x) = x-9 Find f(x) - g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

34.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

35.

f(x) = -4x - 12

What is f^-1(x)?

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

36.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

37.

Which graph represents the functions f(x) and f^-1(x)?

a)

b)

c)

d)

38.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

39.

What is the inverse of the points (1,3)(2,4)(6,2)?

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

40.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

41.

Was the inverse function found correctly?

a)

no

b)

yes

42.

Are the following inverses of each other? Yes or No

a)

Yes

b)

No

43.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

44.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

45.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

46.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

47.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

48.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

49.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

50.

True or False: Is x = 4 a solution to |x + 5| = -9

a)

True

b)

False

51.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

52.

What is the extraneous solution to the equation, |x - 15| = 4x

a)

-5

b)

3

c)

15

d)

-15

e)

no extraneous solutions

53.

Solve the equation:

$\left|-2n\right|+10=-50$

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

54.

Solve the following inequality:

| x − 2 | > 3

a)

2 < x < 10

b)

x < 2 or x > 10

c)

−1 < x < 5

d)

x < −1 or x > 5

55.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

56.

Solve the following inequality:

|x + 4| − 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < −14

c)

all real numbers

d)

no solution

57.

Solve the following inequality:

−5|x − 4| > −20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

58.

Solve the following inequality:

|10 + 4x| < 14

a)

x < 1 and x > −6

b)

x < 1 or x > −6

c)

x < 6 and x > −6

d)

x < 1 or x > −1

59.

Solve the following inequality:

|3x + 6| ≥ 15

a)

x ≥ 3 or x ≤ −3

b)

x ≤ 7 and x ≤ −3

c)

x ≥ 7 and x ≤ −7

d)

x ≤ −7 or x ≥ 3

60.

Solve the following inequality:

| 3x − 9 | < 3

a)

x < −10 or x > −2

b)

−10 < x < −2

c)

x < 2 or x > 4

d)

2 < x < 4

61.

What is the name of this graph?

a)

absolute value

b)

quadratic

c)

linear

d)

square root

62.

What is the range of the absolute value function?

a)

(-infinity, infinity)

b)

[3, infinity)

c)

[0, infinity)

d)

(-infinity, 3]

63.

What is the maximum of the following function on the interval [-3,0]?

y= -4|x+2|+5

a)

4

b)

5

c)

3

d)

2

64.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

65.

What are the intercepts of this function?

f(x)= |x-5| -2

a)

x-intercepts: (-5,0) & (2,0); y-intercept (0, -2)

b)

x-intercepts: (5,0) & (-2,0); y-intercept (0, -2)

c)

x-intercepts: (3,0) & (7,0); y-intercept (0, 3)

d)

x-intercepts: (-3,0) & (7,0); y-intercept (0, 3)

66.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

$\left(-\infty,\ \infty\right)$

d)

$\left[4,\ \infty\right)$

67.

What is the range of this graph?

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(-\infty,\ 3\right]$

c)

(2, 3)

d)

$\left[3,\ \infty\right)$

68.

What is the y-intercept?

a)

(0, 2)

b)

(2, 0)

c)

none

d)

(2, 2)

69.

What is the vertex?

a)

(1, 4)

b)

(4, 1)

c)

(0, 0)

d)

(0, 1)

70.

What is the y-intercept?

a)

(0, 7)

b)

none

c)

(-4, 3)

d)

(0, 0)

71.

What is the axis of symmetry?

a)

y = 50

b)

x = 15

c)

x = 50

d)

y = 15

72.

What is/are the x-intercept(s)? Select all that apply.

a)

(-10, 0)

b)

(2, 0)

c)

(0, -1)

d)

(-4, -3)

73.

What is the axis of symmetry?

a)

x = 0

b)

x = 4

c)

y = 4

d)

y = 0

74.

What is the axis of symmetry?

a)

x = 0

b)

x = 2

c)

y = 0

d)

y = 2

75.

Describe the transformation from the parent absolute value function:

$y=\left|x\right|-5$

a)

Shift up 5 units

b)

Shift down 5 units

c)

Shift right 5 units

d)

Shift left 5 units

76.

Describe the transformation from the parent absolute value function:

$y=8\left|x\right|$

a)

Vertical stretch by a factor of 8

b)

Vertical shrink by a factor of 8

77.

Describe the transformation from the parent absolute value function:

$y=-\left|x+4\right|-3$

* Select ALL that apply

a)

Reflection over the x-axis

b)

Translation 4 units left

c)

Translation 4 units up

d)

Translation 3 units left

e)

Translation 3 units down

78.

The shape of the function is

a)

a U shape

b)

a V shape

c)

randomly placed curved lines

d)

an X shape

79.

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

a)

Shift up

b)

Shift down

80.

Does the following get wider or skinnier from the parent function y = |x|?
y = 5|x|

a)

Wider

b)

Skinnier

81.

Write the equation for a graph that shifts down 9.

a)

y=|x|-9

b)

y=|x-9|

c)

y=-9|x|

d)

y=|x|+9

82.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

83.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

84.

What is the equation of the graph below?

a)

f(x ) = I x + 4 I + 2

b)

f(x ) = -I x - 4 I + 2

c)

f(x ) = I x - 4 I + 2

d)

f(x ) = -I x + 4 I + 2

85.

Choose the graph that matched the equation.
y = |x - 1|

a)

b)

c)

d)

86.

Choose the equation that matches the transformation:

--Reflection over the x-axis

a)

$y=-|x|$

b)

$y=|-x|$

c)

$y=\frac{1}{2}|x|$

d)

$y=2|x|$

87.

Which graph represents the parent function of an Absolute Value?

a)

Black

b)

Blue

c)

Orange

d)

Red

88.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

89.

What is the correct equation for this graph?

a)

y < |x+4| -3

b)

y ≤ |x+4|+ 3

c)

y ≤ |x-4| -1

d)

y < 1/2|x+4| + 1/2

90.

What is the correct equation for this graph?

a)

y > -|x| + 7/2

b)

y > -2|x| + 4

c)

y > -1/2|x| + 2

d)

y > |x| + 4

91.

Which graph matches the inequality?

a)

b)

c)

d)

92.

Write the absolute value inequality represented in the graph.

a)

$f\left(x\right)>\left|x-1\right|+3$

b)

$f\left(x\right)<\left|x-1\right|+3$

c)

$f\left(x\right)<\left|x+1\right|+3$

d)

$f\left(x\right)\le\left|x+1\right|-3$

93.

The solution to a system of equations is any ordered pair that makes both equations true.

a)

TRUE

b)

FALSE

94.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

95.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

96.

a)

a

b)

b

c)

c

d)

d

97.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

98.

Solve the following system:

y=6x-11

-2x-3y=-7

a)

$\left(2,\ 1\right)$

b)

$\left(1,\ 3\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(3,\ 2\right)$

99.

Solve the following system:

y=-3x+5

5x-4y=-3

a)

$\left(1,\ 2\right)$

b)

$\left(1,\ 5\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(5,\ 1\right)$

100.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

101.

Solve by elimination
-6x+y= -2
-3x-6y= 12

a)

(2,0)

b)

no solution

c)

(0,-2)

d)

infinite solutions

102.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

103.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

104.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

105.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

106.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

107.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

108.

What are systems of linear equations?

a)

a set of two or more linear equations with the same variables

b)

a polynomial with three terms

c)

set of two or more linear inequalities in the same variables

109.

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

a)

Ordered Pair

b)

Integer

c)

Ordered Triple

d)

Sum

110.

Solve the system.

a)

(2, -2, 3)

b)

(2, 1, 4)

c)

(-2, 2, -3)

d)

No Solution

111.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

112.

How is the entry of a matrix identified?

a)

Row x Column

b)

Column x Row

c)

Row only

d)

Column only

113.

Dimensions?

a)

a

b)

b

c)

c

d)

d

114.

Element G₂₂ is

a)

1

b)

2

c)

3

d)

4

115.

Element A₂₃ is

a)

-4

b)

3

c)

5

d)

-2

116.

Solve the system of equations:

a)

( 4, 2, -1)

b)

( 4, 3, -1)

c)

None of these

d)

( -4, 3, 1)

117.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

118.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

119.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

120.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

121.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

122.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

123.

What values of x and y make the equation true?

a)

x = 5

y = -2

b)

x = 3

y = -5

c)

x = 9

y = 10

d)

x = 16

y = -5

124.

Given these matrices find C - D

a)

b)

c)

d)

NA

125.

What is the value of the variable in the equation?

a)

b)

c)

d)

126.

What values of x and y make the equation true?

a)

x = 0

y = 3

b)

x = 2

y = 2

c)

x = 4

y = 3

d)

x = 7

y = 4

127.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 2 x 2 )

b)

( 6 x 2)

c)

( 2 x 6 ) )

d)

( 3 x 2 )

128.

Perform the operation if possible.

a)

A

b)

B

c)

C

d)

D

129.

Perform the operation if possible.

a)

A

b)

B

c)

C

d)

D

130.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

131.

Will this matrix have an inverse?

a)

Yes

b)

No

c)

Unable to Determine

132.

x - 3y = -13
4x + 2y = 4

a)

(1, 4)

b)

(-1, -4)

c)

(-1, 4)

d)

(1, -4)

133.

Solve the following systems of equations.

-x+6y-z=6

2x+y-3z=16

-x+5y+3z=-7

a)

A (0, -6, 0)

b)

B (0, 0, -6)

c)

C (3, 1, -3)

d)

D (-6, 4, -3)

134.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

a)

10 adults, 11 children

b)

12 adults , 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

135.

What is the parent function of a quadratic?

a)

$y=x$

b)

$y=x^2$

c)

$y=\sqrt{x}$

d)

$y=\left|x\right|$

136.

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

a)

shift 4 units up

b)

shift 4 units down

c)

shift 4 units to the left

d)

shift 4 units to the right

137.

How did we transform from y=x²to

y = -3x²

a)

reflection in x-axis and shifts down

b)

reflection x-axis and vertical stretch by 3

c)

vertical compression by 3

d)

reflection x-axis and vertical compression by 3

138.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

139.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

140.

If red represents y = x², which equation represents blue?

a)

y = 2x²

b)

y = -2x²

c)

y = -x²

d)

y = (x - 1)²

141.

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x²

a)

Reflected, narrower

b)

reflected, wider

c)

shifted down 4 units

d)

shifted up 4 units

142.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

shift right 2

b)

shift left 2

c)

shift up 4

d)

shift down 4

143.

What is the vertex of the following equation:
y=-3(x-2)² - 4?

a)

(-2,-4)

b)

(2,-4)

c)

(3,-4)

d)

(2,4)

144.

What is the axis of symmetry of the following equation:
y=-3(x-2)² - 4?

a)

x=-2

b)

x=2

c)

x=4

d)

x=-4

145.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

Horz shift right 2

b)

Horz shift left 2

c)

Vert shift up 4

d)

Vert shift down 4

146.

How did we transform from the parent function?

y = -1/5x² + 7 (Choose ALL that apply.)

a)

reflection over the x-axis

b)

vertical shift up 7

c)

vertical stretch of 1/5

d)

vertical shift down 7

e)

vertical compression of 1/5

147.

Match the equation to its description.

a)

Vertical Stretched by 2 and translation up 4

b)

Vertical Compressed by 2 and translation up 4

c)

Horizontal Stretched by 2 and translation left 4

d)

Horizontal Compressed by 2 and translation right 4

148.

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

a)

f(x) = 1/4(x - 4)² - 1

b)

f(x) = 4(x - 4)² - 1

c)

f(x) = 4(x + 4)² - 1

d)

f(x) = 1/4(x + 4)² - 1

149.

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

150.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

151.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

152.

What is the axis of symmetry of the given function?

a)

y = 1

b)

y = -1

c)

x = 1

d)

x = -1

153.

What is the vertex form for a vertex of (-3,-5) and when a=-2?

a)

y = -2(x-3)²+5

b)

y = -2(x+3)²+5

c)

y = -2(x+3)²-5

154.

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

155.

What is the RANGE for the graph?

a)

(-∞, ∞)

b)

(-∞, 4]

c)

All Real Numbers

d)

y ≤ 4

156.

Given the following points, write a quadratic function in standard form. (-4,30), (-2,15), (2,-9)

a)

f(x)= -1/4x² +6x +2

b)

f(x)= 1/4(x +3)²+ 28

c)

f(x)=4x²+ 24x + 6

d)

f(x)= 1/4x² -6x + 2

157.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

158.

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?

a)

9.0 seconds

b)

9.6 seconds

c)

81.0 seconds

d)

82.0 seconds

159.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

160.

Factor: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

(2x + 5) (2x - 5)

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

161.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

162.

Factor

2x² - 13x - 70

a)

(2x - 7)(x + 10)

b)

(7x + 5)(x + 2)

c)

(2x + 7)(x - 10)

d)

2(x + 7)(x + 10)

163.

64x² - 81y²

a)

(8x + 7y) (8x - 7y)

b)

(8x + 9y) (8x - 9y)

c)

(6x + 7y) (6x - 7y)

d)

(6x + 9y) (6x - 9y)

164.

Find the factors of 100x²-64

a)

(10x-8)(10x+8)

b)

(x-10)(x+8)

c)

(10x+8)(10x+8)

d)

(10x-8)(10x-8)

165.

Find the factors of x²-81

a)

(x-9)(x+9)

b)

(x+9)(x+9)

c)

(x-9)(x-9)

d)

Can't be factored

166.

Factor: 6x² + 9x

a)

(6x + 1)(x + 3)

b)

(3x + 1)(2x + 3)

c)

3x(2x + 3)

d)

6x(x + 3)

167.

3v² - 8v + 5

a)

(3v + 5)(v - 1)

b)

(3v - 5)(v + 1)

c)

(3v - 5)(v - 1)

d)

(3v + 5)(v + 1)

168.

Which of the following trinomials is a perfect square trinomial?

a)

r² - 6r + 36

b)

4y² + 10y + 25

c)

x² + 16x + 16

d)

9a² - 12a + 4

169.

Factor Completely:
6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

170.

Factor

$5x^2+28x+32$ Write your answer with NO SPACES

(a)

171.

Factor

$6x^2-13x+5$ Write your answer with NO SPACES

(a)

172.

Find the factors of 4x²-16x-9

a)

(2x-9)(2x+1)

b)

(2x+9)(2x-1)

c)

(4x-1)(x+9)

d)

(x+1)(4x-9)

173.

What are the roots of the function?

a)

x = 4, -1

b)

(-4, 1)

c)

x = -4, 1

d)

(4, 0) (-1, 0)

174.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

175.

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

176.

What are the solutions?

a)

-2, 1

b)

1, 2

c)

-1,2

d)

0,-4

177.

Solve by the Extraction of Roots method: -5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

178.

Solve by the Extraction of Roots method: (x - 2) ² = 49

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

179.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

180.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

181.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

182.

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.

183.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

184.

Simplify -√-48

a)

4i√3

b)

-4i√3

c)

i√48

d)

-48i

185.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

186.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

187.

a)

A

b)

B

c)

C

d)

D

188.

Where is point C located?

a)

$2+i$

b)

$1+2i$

c)

$2i$

d)

$2-i$

189.

Find: $\left|5-2i\right|$

a)

$29$

b)

$\sqrt{29}$

c)

$3\sqrt{3}$

d)

$3$

190.

Look at the equation below.

$x^2+2x-5=2$

Which values of x satisfy the equation? Write your answers in simplest radical form.

a)

$-1\pm2\sqrt{2}$

b)

$1\pm2\sqrt{2}$

c)

$-1\pm2i\sqrt{2}$

d)

$1\pm2i\sqrt{2}$

191.

Solve the equation with the quadratic formula and fully simplify your answer.

a)

b)

c)

d)

192.

Solve the equation

$x^2-5x+8=0$

a)

$x=\frac{-5\pm i\sqrt{7}}{2}$

b)

$x=\frac{5\pm i\sqrt{7}}{2}$

c)

$x=\frac{8\pm i\sqrt{7}}{2}$

d)

$x=\frac{5\pm\sqrt{57}}{2}$

193.

x² - 9x - 112 ≥ 0

a)

-7 < x < 16

b)

-7 ≤ x ≤ 16

c)

x < -7 or x > 16

d)

x ≤ -7 or x ≥ 16

194.

Solve the quadratic inequality:

$x^2+10x+16<0$

a)

$2<x<8$

b)

$-8<x<-2$

c)

$-8<x<2$

d)

$-2<x<8$

195.

Solve the quadratic inequality: $x^2+11x+10\ge0$

a)

$x\le-10\ ,\ \ x\ge-1$

b)

$x\ge1\ ,\ \ x\le10$

c)

$1\le x\le10$

d)

$-1\le x\le11$

196.

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

a)

(6, 5) and (2, 5)

b)

(2, 6)

c)

(6, 2)

d)

(5, 6) and (5, 2)

197.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

a)

b)

c)

d)

198.

Factor completely: $-90x^3-189x^2+972x$

Type your answer with NO SPACES!

(a)

199.

Factor completely: $-18x^3+152x^2+90x$

Type your answer with NO SPACES!

(a)

200.

Factor completely: $-99x^3+616x^2+1408x$

Type your answer with NO SPACES!

(a)

Honors Algebra 2 Fall Semester Exam Review

Total questions: 200

Worksheet time: 11hrs 37mins

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