Free Printable Algebra II Final Exam Review

1.

Sally makes $8.50 an hour and has $1,000 in her bank account. She's saving up for a used car. Write an equation that helps her figure out how many hours she'll have to work for the car she wants.

(a)

2.

Which of the following represents the formula for height derived from the formula for the volume of a pyramid? $V=\frac{1}{3}lwh$

a)

$h=\frac{3v}{lw}$

b)

$h=3lvw$

c)

$h=\frac{lvw}{3}$

d)

$h=\frac{1}{3}lvw$

3.

$\frac{2}{3}x-9=7$

Solve:

(a)

4.

Simplify:
$9x^2+8-12+2x$

a)

$9x^2+2x-4$

b)

$9x^2+2x+4$

c)

$7x-4$

d)

$9x^2-10x+8$

5.

Which of the following categories is the narrowest category that the number -9 belongs to?

a)

Integer

b)

Whole Number

c)

Natural Number

d)

Real Number

6.

$ab=ba$ represents the (a) property of multiplication.

7.

$a+0=a$ demonstrates the (a) property of addition.

8.

Solve for y:
$-\frac{y}{4}+1\ge0$

a)

$y\le4$

b)

$y\ge-\frac{1}{4}$

c)

$y\ge-4$

d)

$y\le\frac{1}{4}$

9.

How many inches are in 22 feet?

(a)

10.

Solve for x (Provide both solutions with a space between them):
$\left|2x-8\right|+1=7$

(a)

11.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

12.

Solve for f:

42 = 7f

a)

294

b)

49

c)

35

d)

6

13.

Solve for r:

r - 11 = 5

a)

11

b)

14

c)

6

d)

16

14.

Simplify:

9p-8+8

a)

$9p+16$

b)

$9p-16$

c)

$9p\ +\ 1$

d)

$9p$

15.

Simplify:
$-9y+5y-7y+3y$

(a)

16.

Simplify:
$5\left(b+6\right)-3b$

(a)

17.

Simplify

(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

18.

Solve for x (write each solution with a space between them)

l 2x−1 l = 9

(a)

19.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

20.

Write x ≤ 23 in words.

a)

x is greater than 23

b)

x is greater than or equal to 23

c)

x is less than 23

d)

x is less than or equal to 23

21.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

22.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

23.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

24.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

25.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

26.

Pick the answer that is an example of the commutative property of multiplication

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

27.

Simplify using the order of operations:
$3\times10+8-4^2$

(a)

28.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

29.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

30.

Which of the following does the graph represent?

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

31.

Which of the following equations is represented by the graph above?

a)

$f\left(x\right)=\left|x+1\right|$

b)

$f\left(x\right)=\left|x-1\right|$

c)

$f\left(x\right)=\left|x\right|+1$

d)

$f\left(x\right)=\left|x\right|-1$

32.

Recall the graph of the parent function for absolute value functions: $f\left(x\right)=\left|x\right|$
Which transformation(s) of the parent function is/are applied in the image (Select all transformations you think apply. There might only be one transformation.)?

a)

Translation

b)

Stretch

c)

Shrink

d)

Reflection

33.

Recall the parent graph of absolute value functions: $f\left(x\right)=\left|x\right|$
Which transformation(s) is/are applied to the parent graph in the image (Select all that apply. There might only be one transformation.)?

a)

Translation

b)

Reflection

c)

Stretch

d)

Shrink

34.

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

a)

Wider

b)

Skinnier

35.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

36.

CLICK ON THE QUESTION TO SEE THE GRAPH AND CLICK AGAIN TO RESTORE IT!

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

37.

CLICK ON THE QUESTION TO SEE THE GRAPH AND CLICK AGAIN TO RESTORE IT!

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.
Use the line of best fit to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

38.

CLICK ON THE QUESTION TO SEE THE GRAPH AND CLICK AGAIN TO RESTORE IT!

The scatterplot shows the relationship between the number of hours a person exercises and the time it takes to drive to work. Which conclusion does the data most strongly support?

a)

The time it takes to drive to work decreases as the number of hours exercising increases.

b)

The time it takes to drive to work increases as the number of hours exercising increases.

c)

The time it takes to drive to work stays the same as the number of hours exercising increases.

d)

The time it takes to drive to work is not related to the number of hours exercising.

39.

CLICK ON THE QUESTION TO SEE THE GRAPH AND CLICK AGAIN TO RESTORE IT!

Look at the line of best fit in each graph. Which one is the most accurate representation of its data?

a)

A

b)

B

c)

C

d)

D

40.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

41.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

42.

a)

Function

b)

Not a Function

43.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

44.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

45.

a)

Function

b)

Not a Function

46.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

47.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

48.

This graph represents which function?

a)

y = -2x

b)

y = 2x

c)

y = -2x + 1

d)

y = 2x - 1

49.

The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the cost, c, for the number of pounds of cantaloupes bought, p.

a)

c = 45p

b)

c = 4.5p

c)

p = 4.5c

d)

p = 45c

50.

The grocery store sells cantaloupes for $4.50 per pound. Is the function continuous or discrete? Explain.

a)

continuous; you cannot have a fraction of a pound when you weigh cantaloupes

b)

continuous; you can have a fraction of a pound when you weigh cantaloupes

c)

discrete; you cannot have a fraction of a pound when you weigh cantaloupes

d)

discrete; you can have a fraction of a pound when you weigh cantaloupes

51.

Is the relation a function?

a)

yes, it is a function

b)

no, it is not a function

c)

not enough information to determine

52.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

53.

Which of the following is the slope-intercept form?

a)

m = (y₂ - y₁)/(x₂ - x₁)

b)

y = mx + b

c)

y - y₁ = m(x - x₁)

d)

ax + by = c

54.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

55.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

56.

y = 3x +2

y = 3x - 3

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

57.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

58.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

59.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

60.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

61.

1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

65

b)

92

c)

70

d)

76

62.

the slope is -5/7, what does that mean?

a)

gain 5 hour of sleep for 7 cups of coffee

b)

lose 5 hours of sleep for 7 cups of coffee

c)

lose 7 cups of coffee for 5 hours of sleep

d)

lose 5 cups of coffee for 7 hours of sleep

63.

As the age of the car increases, its value decreases. Which scatter plot represents this relationship?

a)

A

b)

B

c)

C

d)

D

64.

About how many male math teachers will there be in 2016?

a)

35

b)

46

c)

52

d)

70

65.

Which of the following would be a reasonable approximation for the length of time it would take this person to run 6 miles?

a)

≅ 50 min

b)

≅ 80 min

c)

≅ 45 min

d)

≅ 60 min

66.

What is a scatter plot?

a)

A graph that shows the relationship of two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

67.

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

68.

Level 1: Determine the type of correlation.

a)

Positive

b)

Negative

c)

No Correlation

69.

Write the equation of the following linear inequality.

a)

y>|x|+2

b)

y>|x|-2

c)

y>|x+2|

d)

y>|x-2|

70.

Select the correct graph for the inequality y > -3

a)

A

b)

B

c)

C

d)

D

71.

Select the correct graph the inequality y< 7/3x-2

a)

A

b)

B

c)

C

d)

_D

72.

Write the equation.

a)

y>|x-2|

b)

y>|x|+2

c)

y>|x+2|

d)

y>|x|-2

73.

a)

y< -|x-3|

b)

y<-|x+3|

c)

y< -|x|+3

d)

y<-3|x|

74.

Write the equation

a)

y<|x+1|+4

b)

y<|x+4|+1

c)

y<|x-1|+4

d)

y<|x-1|-4

75.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

76.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

77.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

78.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

79.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

80.

Find B-A

a)

-3 1
7 -1

b)

1 0
1 -4

c)

4 0
-6 0

d)

not possible because rows do not match columns

81.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

82.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

83.

In Matrix R (pictured) what is the value of element R_3,2

a)

8

b)

9.01

c)

6

d)

1

84.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

85.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

86.

Add.

a)

No Sum Exists

b)

c)

d)

87.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

88.

Find the product.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

89.

Element G₂₂ is

a)

1

b)

2

c)

3

d)

4

90.

Evaluate the determinant of the matrix.

a)

-21

b)

0

c)

9

d)

12

91.

Evaluate the determinant of the matrix.

a)

-21

b)

0

c)

9

d)

12

92.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

93.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

94.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

95.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

96.

What method should you use to factor the polynomial?

x² - 36

a)

Factor by Grouping

b)

Factor out the GCF

c)

Difference of Squares

d)

Master Products

97.

Factor

n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

98.

Which is a factor of $x^2-11x+24?$

a)

$\left(x+3\right)$

b)

$\left(x-3\right)$

c)

$\left(x+4\right)$

d)

$\left(x-4\right)$

99.

Which of the following is one of the factors of the expression: $4x^2-25?$

a)

$\left(4x-5_{ }\right)$

b)

$\left(2x+1\right)$

c)

$\left(4x-1\right)$

d)

$\left(2x-5\right)$

100.

Which shows the polynomial $8x^2+16x+8$ completely factored?

a)

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

b)

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

c)

$8\left(x+1\right)^2$

d)

$8\left(x+1\right)\left(x-1\right)$

101.

Multiply.
(x + 2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

102.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

103.

(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

104.

(5x-1)(x+1)

a)

5x²+ 4x - 1

b)

5x²+6x - 1

c)

5x²- 4x -1

d)

5x² + 4x + 1

105.

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1). (HINT: V = lwh)

a)

x² -8x

b)

x² -2x -8

c)

2x³-3x² -18x-8

d)

2x³-8

106.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

107.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

108.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

109.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

110.

Select the solution(s) for the quadratic: $x^2-11x+19=-5$

a)

3

b)

8

c)

-9

d)

-3

111.

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

112.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

113.

What is the vertex?

a)

minimum/maximum

b)

width

c)

x-intercept

d)

y-intercept

114.

What are the roots of a parabola?

a)

line of symmetry

b)

height

c)

x-intercepts

d)

y-intercept

115.

Blue is the parent function

Green is the new function

Which transformations are present?

a)

Dilation

b)

Refection

c)

Translation

116.

Which transformation occurs?

Blue is the parent function

Green is the new function

a)

Translation (shifts up 3)

b)

Translation (shifts down 5)

c)

Dilates smaller

d)

Dilates larger

117.

$4x^2+16x=48$

Solve using factoring
Check $ALL$ Solutions that apply:

a)

$-2$

b)

$-8\pm4\sqrt{7}$

c)

$-6$

d)

$8\pm4\sqrt{7}$

e)

$2$

118.

Solve using Completing the square
$x^2−12x+30=−5$

a)

$x\ =\ \left\{-5,\ -7\right\}$

b)

$x\ =\ \left\{1,\ 11\right\}$

c)

$x\ =\ \left\{5,\ 7\right\}$

d)

$x\ =\ \left\{-11,\ -1\right\}$

119.

What are the solutions to $2x^2-7x-3=0$ ?

a)

b)

c)

d)

120.

What are the roots / zeros / solutions of the equation
$x^2-14x+48=0$ ?

a)

undefined

b)

$-6\ and\ 8$

c)

$6\ and\ -8$

d)

$6\ and\ 8\$

121.

$The\ solutions\ of\ 2x^2-8x\ =\ 0\ are$

a)

$-2\ and\ \ 2$

b)

$0,\ -2,\ and\ \ 2$

c)

$0\ and\ -4$

d)

$0\ and\ 4$

122.

Find the axis of symmetry for the graph

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = -1 , 3

123.

Find the axis of symmetry for f(x) = x² + 4x - 5

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

124.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

125.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

126.

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)

127.

Identify the zeros:

a)

x=2, x=6, x=-4

b)

(x+2)(x+6)(x-4)

c)

(x-2)(x-6)(x+4)

d)

x=-2, x=-6, x=4

128.

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

a)

3

b)

4

c)

5

d)

0

129.

Find all the solutions of x³ - x² - x + 1 if you know that (x-1) is a factor of it.

a)

-1, -1, 1

b)

-1, 1, 1

c)

-1, 0 1

d)

-1, 1, 2

130.

What does multiplicity of a zero mean?

a)

Look at the number of terms

b)

How many times the zero repeats

c)

Find the sum of all the coefficients

d)

Ratio your x and y

131.

Based on the end behavior, which option best describes the leading coefficient and degree?

a)

negative coefficient, even degree

b)

negative coefficient, odd degree

c)

negative degree, odd coefficient

d)

negative degree, even coefficient

132.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

133.

Find all the solutions of x³- 5x²- 2x + 24 if (x+2) is a factor.

a)

-2,1,0

b)

-2,-3,-4

c)

-2, 3, 4

d)

2, 3, 4

134.

Write the following polynomial in factored form.

x^3+8x^2+16x

a)

$\left(x+4_{ }\right)\left(x+4\right)$

b)

$x^3+8x^2+16x$

c)

$x\left(x+4\right)$

d)

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

135.

Find the real or imaginary solutions of this equation.

x^2-11x=-24

a)

x = -3 and 8

b)

x = 3 and 8

c)

x = 3

d)

x = 3 and -8

136.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

137.

$\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

138.

(4p³q⁶)⁴

a)

4p¹²q²⁴

b)

256p⁷q¹⁰

c)

256p¹²q²⁴

d)

4p⁷q¹⁰

139.

Simplify the following:
$\left(\frac{x^2}{y^3}\right)^4$

a)

$\frac{x^8}{y^{12}}$

b)

$\frac{x^6}{y^7}$

c)

$x^8y^{12}$

140.

Simplify the following:
$\left(4x^3y^2\right)^2$

a)

$16x^3y^2$

b)

$4x^6y^4$

c)

$16x^6y^4$

141.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

142.

Add the polynomials.
(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

143.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

144.

Combine like terms:

8x³y + 3x²y + 4xy + 5x²y + 2xy + 7x²y

a)

8x³y + 8x²y + 2xy

b)

11x³y + 15x²y + 8xy

c)

8x³y + 15x²y + 6xy

d)

23x²y + 6xy

145.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

146.

Simplify:

a)

6x² - 20x + 6

b)

6x - 5

c)

-14x +6

d)

6x² - 11x - 6

147.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

148.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

149.

Divide

a)

(x-6)

b)

(x+8)

c)

(x-8)

d)

(x+6)

150.

Identify the zeros:

a)

x=-2, x=-1, x=0

b)

x=-2, x=0

c)

x=-1, x=0, x=2

d)

x=-2, x=0, x=1

151.

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

a)

4

b)

7

c)

2

d)

5

152.

Choose the best equation to match the graph.

a)

$y=\left(x-2\right)\left(x-4\right)\left(x-8\right)$

b)

$y=-\left(x-2\right)\left(x-4\right)\left(x-8\right)$

c)

$y=\left(x+2\right)\left(x+4\right)\left(x+8\right)$

d)

$y=-\left(x+2\right)\left(x+4\right)\left(x+8\right)$

153.

a)

$y=x^2\left(x-6\right)$

b)

$y=x\left(x-6\right)$

c)

$y=\left(x-6\right)^2$

d)

$y=x\left(x+6\right)$

154.

a)

$y=-20\left(x+2\right)^2\left(x-5\right)$

b)

$y=-20\left(x+2\right)\left(x-5\right)$

c)

$y=\left(x+2\right)^2\left(x-5\right)$

d)

$y=\left(x+2\right)\left(x-5\right)$

155.

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

a)

{-4, 0, 1}

b)

{-1, 4}

c)

{-1, 0, 4}

d)

{-4, 1}

156.

What is the factored form of a function if it has zeros of 2, 3 and -1 and all factors have a multiplicity of 1?

a)

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

b)

(x-1)(x-2)(x-3)

c)

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

d)

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

157.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

158.

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

159.

Determine the end behavior for the following polynomial.

y=-3\ -6x^5-9x^8

a)

Up and Up

b)

Up and Down

c)

Down and Down

d)

Down and Up

160.

Write the following polynomial in factored form.

x^3+8x^2+16x

a)

$\left(x+4_{ }\right)\left(x+4\right)$

b)

$x^3+8x^2+16x$

c)

$x\left(x+4\right)$

d)

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

161.

Find the zeros of the function. State the multiplicities.

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

a)

$-\frac{3}{2},\ 1\left(multiplicity\ 2\right)$

b)

$-\frac{3}{2},\ 1$

c)

$\frac{3}{2},\ -1\left(multiplicity\ 2\right)$

d)

$\frac{3}{2},\ -1$

162.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

163.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

164.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

165.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

166.

a)

b)

c)

d)

167.

a)

b)

c)

d)

168.

a)

b)

c)

d)

169.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

170.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

171.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

172.

When f(x) = 9 - 3x and g(x) = 5x - 7

find f(x) + g(x).

a)

14x - 10

b)

-8x + 2

c)

2x + 2

d)

2x - 2

173.

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

a)

8

b)

-8

c)

28

d)

None of these.

174.

When f(x) = x²+ 9 and g(x) = x - 9,

find f(x) - g(x).

a)

x²+ x + 9

b)

x²- x + 9

c)

x²- x

d)

x²- x + 18

175.

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

176.

f(x)=2x + 4

g(x)=3x²- 1

Find f(x) ⋅ g(x)

a)

6x⁴+ 12x³- 4x²- 8x

b)

-6x³+ 12x²+ 2x - 4

c)

6x³+ 12x²- 2x - 4

d)

5x²- 18x + 20

177.

f(x) = 4x + 8

g(x) = x + 3,

Find f(x) ⋅ g(x)

a)

4x²+ 24

b)

4x²+ 20x + 24

c)

4x²+ 12x + 24

d)

4x²+ 4x + 24

178.

f(n)=x²+ 1

g(n)=2x - 5

Find f(n) - g(n)

a)

x²- 2x + 6

b)

-x²+ 2x + 4

c)

-x²- 2x - 6

d)

x²- 2x - 4

179.

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

a)

19

b)

23

c)

-10

d)

None of these.

180.

Given f(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))

a)

-7x + 1

b)

5x +1

c)

-5x -1

d)

5x + 1

181.

When f(x) = 2x and g(x) = x²+ 3 , find f(g(x)).

a)

x²+ 2x + 3

b)

4x²+ 3

c)

2x²+ 3

d)

2x²+ 6

Algebra II Final Exam Review

Total questions: 181

Worksheet time: 10hrs 52mins

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