Free Printable Algebra 2 S1 Final Exam Review

1.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

2.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

3.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

4.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

5.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

6.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

7.

Solve for a.

$a+5=-5a+5$

a)

$\frac{5}{3}$

b)

0

c)

no solution

d)

$-\frac{5}{3}$

8.

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

9.

a)

145

b)

165

c)

180

d)

190

10.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

11.

-x - 8 = -2

a)

10

b)

-6

c)

6

d)

-10

12.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

13.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

14.

Solve:

2y − 3 = 2y − 3

a)

y = 0

b)

y = -3

c)

infinitely many solutions

d)

no solutions

15.

Solve:

3(x − 2) = 3x − 6

a)

x = 6

b)

x = -6

c)

infinitely many solutions

d)

no solutions

16.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

17.

You take out a loan from a bank for $3600. You plan to pay back 300 per week. Which equation would help you solve the number of weeks to pay back the loan?

a)

3600 - 300w = 0

b)

-3600w + 300 = 0

c)

0 - 3600 = 300w

d)

w + 3600 + 300 = 0

18.

Four friends bought pizza. They all split the cost evenly. The pizza was $16.00. The total bill came to $32.00. Which equation matches this story.

a)

4 + 16 = 32

b)

16-4 = 32x

c)

16 + 4p = 32

d)

4p + 16 = 32

19.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

20.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

21.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

22.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

23.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

24.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

25.

a)

Function

b)

Not a Function

26.

a)

Function

b)

Not a Function

27.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

28.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

29.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

30.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

31.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

32.

Find the slope given these points:

(4,-4) & (2,0)

a)

-2

b)

2

c)

1/2

d)

-1/2

33.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

34.

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

a)

y = 2x - 5

b)

y = -2x - 5

c)

y = 2x - 1

d)

y = 2x - 7

35.

What is the equation of the line that passes through (-1, -4) and (-2, -1)

a)

y = 2x - 1

b)

y = -2x - 4

c)

y = 3x - 7

d)

y = -3x - 7

36.

What is the equation of the line that passes through (1, 4) and (2, 1)

a)

y = -3x + 1

b)

y = -3x + 4

c)

y = -3x - 7

d)

y = -3x + 7

37.

what is the slope intercept form for the equation -2x + 8y = 2

a)

y = -2x + 8

b)

y = 1/4x + 1/4

c)

y = -1/4x - 1/4x

d)

y = 2/8x + 4

38.

Convert the standard form equation into slope-intercept form.
5x - 4y = -20

a)

y = (5/4)x + 5

b)

y = -5x - 4

c)

x = 20

d)

y = 27, 239, 430

39.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

40.

What is the type of association?

a)

Negative

b)

no association

c)

positive

41.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

42.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line 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

43.

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

44.

Number of pets a person has and number of books a person has read

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

45.

Amount of Education and Amount of income

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

46.

Number of days absent from school vs. math average

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

47.

Which type of function is shown in the graph?

a)

Absolute Value

b)

Square Root

c)

Cube Root

d)

Rational

e)

Polynomial

48.

Which most likely represents the equation of this graph?

a)

y = |x + 2| + 3

b)

y = |x - 3| + 2

c)

y = |x + 3| + 2

d)

y = |x - 2| + 3

49.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

50.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

51.

a)

Cubic

b)

Linear

c)

Quadratic

d)

Absolute Value

52.

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

a)

a translation shifting f(x) 4 units up

b)

a translation shifting f(x) 4 units down

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

53.

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

a)

Vertical Compression by a factor of 2

b)

Vertical Stretch by a factor of 2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

54.

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

a)

Vertical Compression by a factor of 1/2

b)

Vertical Stretch by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

55.

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Narrower

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

56.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

57.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

58.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

59.

Lesly 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)

60.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

61.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

62.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

63.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

64.

y = -2x + 5
y = 2x - 11

a)

No Solution

b)

(0, 0)

c)

(3, -1)

d)

(4, -3)

65.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

66.

x + 2y = 2
x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

67.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

68.

Solve the system by elimination.

−8x − 10y = 20
−8x − 6y = −4

a)

Infinite number of solutions

b)

(6, 5)

c)

(−6, −5)

d)

(5, −6)

69.

Solve by elimination
4x-6y= -6
-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

70.

Solve by elimination
2x+9y= -7
6x-3y= 9

a)

(-1, -1)

b)

(2,-1)

c)

(1,1)

d)

(1,-1)

71.

5x + 16y = -16
-9x - 8y = 8

a)

(3, 1)

b)

(3, -1)

c)

(-3, -1)

d)

(0, -1)

72.

3x + 5y = 46
4x + 3y = 43
x=_____
y=_____

a)

(7,5)

b)

(8,2)

c)

(-9,-2)

d)

(0,50)

73.

Solve the system by elimination.

4x + 12y = −1
−3x − 9y = 0

a)

(10, 1)

b)

(−10, −1)

c)

(10, −1)

d)

No solution

74.

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

a)

(4, −9)

b)

Infinite number of solutions

c)

(−9, 4)

d)

(4, 4)

75.

There are 20 animals in the barn. Some are geese and some are buffalo. There are 64 legs in all. How many of each animal are there?

a)

12 geese and 8 buffalo

b)

8 geese and 12 buffalo

c)

4 geese and 28 buffalo

d)

The buffalo all sat on the geese and now there are only 44 legs in all.

76.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

77.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

78.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

79.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

80.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

81.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

82.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

83.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

84.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

85.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

86.

What is the equation for the axis of symmetry?

a)

x=-1

b)

x=8

c)

x=0

d)

y=-1

87.

in the Quadratic Formula, the expression $b^2-4ac$

a)

discriminant

b)

vertex

c)

maximum value

d)

minimum value

88.

solution of a quadratic equation

a)

root

b)

quadratic function

c)

vertex

d)

parabola

89.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

90.

What is the vertex of this quadratic equation?
y = 2(x - 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

91.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

92.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

93.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

94.

Shift f(x)=x² three units to the left and 4 units down

a)

f(x)=(x+3)²-4

b)

f(x)=(x-3)²-4

c)

f(x)=(x+4)²-3

d)

f(x)=(x-4)²-3

95.

How would you describe the translation from f(x)=x² to f(x)=x²+5 ?

a)

Horizontal translation: five units to the right

b)

Horizontal translation: five units to the left

c)

Vertical translation: five units up

d)

Vertical translation: five units down

96.

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)

97.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

98.

Factor:

4h² - 12h + 9

a)

(2h - 3)²

b)

4(h + 9)(h + 1)

c)

(2h - 3)(2h + 3)

d)

(h - 9)(4h - 1)

99.

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)

100.

Factor

5x²- 28x + 32

a)

(3x - 10)(x + 6)

b)

(x - 8)(5x - 4)

c)

(5x - 8)(x - 4)

d)

(5x - 8)(x + 7)

101.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

102.

If the discriminant is zero you will have

a)

no real solutions

b)

two real solutions

c)

1 real solution

d)

1 imaginary solution

103.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

104.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

105.

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.

106.

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

a)

-8.14 and -6.14

b)

4.07 and 3.07

c)

3.85 and 0.65

d)

ZERO solutions

107.

The discriminant is

a)

ax² + bx + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

108.

a)

A

b)

B

c)

C

d)

D

109.

Solve using the Quadratic Formula:

2x² + x - 4 = 0

a)

x = -¼ and x = -2

b)

x = 1.19 and x = -1.69

c)

x = 8 and x = -4

d)

x = 1.69 and x = 1.20

110.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

114.

a)

15i

b)

9 + 6i

c)

-3i

d)

-9 + 6i

115.

Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 4i)

a)

-5 - 2i

b)

19 - 2i

c)

-5 + 6i

d)

19 + 6i

116.

Add/Subtract using the proper rules:
2i + 3 + 7 - 12 i

a)

10i - 10

b)

-10i + 10

c)

14i + 10

d)

-10i + 4

117.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

118.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

119.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

120.

Solve -2x² + 4x = 9

a)

(2 - i√14)/2 , (2 + i√14)/2

b)

(2 - i√-56)/2 , (2 + i√-56)/2

c)

(2 - i√-14)/2 , (2 + i√-14)/2

d)

(2 - √14)/2 , (2 + √14)/2

121.

Solve x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

122.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

123.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

124.

Which of the following binomials is not a difference of squares?

a)

x² - 64

b)

x² - 16

c)

x²+ 400

d)

x² - 100

125.

Factor x³ - 4x.

a)

(x-4)(x²-4)

b)

x(x-2)(x+2)

c)

x(x-4)

d)

(x-2)(x+2)

126.

$18x^2+12x$

a)

$2x(9x+6)$

b)

$6x(3x+2)$

c)

$18x(x-6)$

d)

$12x(6x+1)$

127.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

128.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

129.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

130.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t² + 64t + 80. What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

131.

Classify by degree and number of terms:

3x³ – 6x

a)

Quadratic Binomial

b)

Cubic Binomial

c)

Cubic Trinomial

d)

4th degree Binomial

132.

Classify by degree and number of terms:

12

a)

Constant Monomial

b)

Linear Binomial

c)

Constant Binomial

d)

Linear Monomial

133.

Classify the polynomial by degree and number of terms:

3x² – 8x + 1

a)

Cubic Trinomial

b)

Cubic Binomial

c)

Quadratic Trinomial

d)

Quadratic Binomial

134.

Classify the following polynomial

a)

binomial polynomial

b)

quadratic binomial

c)

quartic binomial

135.

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

a)

UP-UP

b)

UP-DOWN

c)

DOWN-UP

d)

DOWN-DOWN

136.

f(x) = -3x² - 5x + 12

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

137.

f(x) = -3x⁵ + 5x⁴ - 7x³ + 2x - 12

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

138.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

139.

What does it mean to "find the zeros"?

a)

Finding where the graph crosses the x-axis

b)

Finding where the graph crosses the y-axis

c)

Finding the very bottom of the graph.

d)

Finding the very top of the graph.

140.

What are the linear terms of the polynomial function?

a)

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

b)

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

c)

(x-2)(x-1)(x+1)(x+2)(x-4)

d)

(x-2)(x-1)(x+1)(x+2)(x+4)

141.

What are the
zeros of the polynomial
y = (x + 4)(x + 1)(x - 3)?

a)

-4, -1, 3

b)

3, -3, 4, 1

c)

4, 1, -3

d)

3, -4, -1, 3

142.

a)

p(x) = (x − 1)(x + 2)(x + 5)

b)

p(x) = (x + 1)(x − 2)²(x − 5)

c)

p(x) = (x − 1)²(x + 2)(x + 5)

d)

p(x) = (x − 1)(x + 2)²(x + 5)

143.

a)

f(x) = (x + 2)(x − 3)²(x − 1)

b)

f(x) = (x − 2)(x + 1)(x + 3)²

c)

f(x) = (x + 2)(x − 1)(x − 3)

d)

f(x) = (x − 1)²(x − 3)(x + 2)

144.

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

a)

y = x(x - 9)(x - 3)(x + 2)

b)

y = x(x + 9)(x + 3)(x - 2)

c)

y = -x(x - 9)(x - 3)(x + 2)

d)

y = -x(x + 9)(x + 3)(x - 2)

145.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

146.

Which term must be inserted in the dividend before you begin long division?

$\left(2x^3+5x^2+9\right)\div\left(x+3\right)$

a)

$0x^4$

b)

$0x^3$

c)

$0x^2$

d)

$0x$

147.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

148.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

149.

a)

2x³ + 3x + (7/x-4)

b)

2x² + 3x + 8 + (7/x-4)

c)

2x² + 3x + 8

d)

2x² - x + 10 + (6/x-4)

150.

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

a)

True

b)

False

151.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

152.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

Algebra 2 S1 Final Exam Review

Total questions: 152

Worksheet time: 9hrs 32mins

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