ID: A
Algebra II B (3rd) Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Solve 225x 2  9.
A x  2
1
B x
5
C
x  3,  15
D
x  5
H
10
2 2
2. Simplify  3  i 3 
F
G
3i
3  i3
J
____
3. What is the perimeter of a square whose side is 8.2 centimeters?
A 16.4 cm
C 32.8 cm2
B 32.8 cm
D 67.24 cm2
____
4. Which is a list of all the roots of x 3  x 2  4  4x ?
F 1, 2, 2
H 1, 2i, 2i
G 1, 2, 2
J 1, 2i, 2i
____
5.
Which are alternate exterior angles?
A 1 and 3
B 1 and 8
____
 2

6. Simplify   4i  3  i .
3

1
F 2  6 i
3
1
G 2  11 i
3
C
D
H
J
3 and 6
6 and 7
2
1
6 i
3
3
1
6  11 i
3
3
____
7. Find the minimum or maximum value of g x   x 2  2x  48 .
A maximum of 49
C minimum of 49
B maximum of 0
D minimum of 48
____
8. Which is a fourth degree trinomial with a leading coefficient of 3?
F x 2  3x 4  13x
H 3x 3  x 2  12
G 3x 4  8x 3  x  2
J x  x 2  3x 4
1
ID: A
____
9. What type of angle is 1?
A
B
acute
right
C
D
obtuse
straight
____ 10. Given GH with endpoints G  11, 4  and H  1, 9  , what are the coordinates of the midpoint of GH ?
F  12, 5 
H  10, 13 
 5, 6.5 
G  6, 2.5 
J


____ 11. Which line is parallel to y 
A
B
1
x7
2
y  2x  5
y
1
x  5?
2
C
y  x  10
D
y  2x  10
____ 12. Which is a third degree polynomial with 3 and 2 as its only zeros?
F f(x)  x 2  x  6
H f(x)  x 3  4x 2  3x  18
G
f(x)  x 3  2x 2  5x  6
J
____ 13. Solve the quadratic inequality 3x 2  3x  6  12.
A 2  x  3
C
B 1  x  2
D
f(x)  x 3  x 2  8x  12
x  2 or x  3
x  1 or x  2
____ 14. Solve 9x 2  25  0.
F
3  5i
H
5
 i
3
G
3
 i
5
J
5  3i
C
D
68
112
____ 15. What is mPMN ?
A
B
22
90
2
ID: A
____ 16. If mA  4x  2 , what is the measure of the complement of A?
F 90
H 178  4x
G 4x  92
J
88  4x
____ 17. A circle has a diameter of 8 feet. What is its approximate area?
A 12.56 ft 2
C 50.24 ft 2
B 25.12 ft 2
D 200.96 ft 2
____ 18. Name the intersection of plane P and line m.
F
G
line n
point A
H
J
AC
AE


____ 19. Which of the following is NOT a factor of  x 4  x 3  7x 2  x  6  ?


A x1
C x1
B x2
D x2
7  11i
.
i
7i  11
7i  11
____ 20. Simplify
F
G
H
J
7i  11
7i  11
C
D
26
40
____ 21. What is the measure of RT ?
A
B
5
16
____ 22. Write a quadratic function in standard form with zeros of 2 and 11.
F f x   x 2  9x  22
H f x   x 2  9x  22
G
f x   x 2  9x  22
J
3
f x   x 2  9x  22
ID: A
____ 23. Which is the equation of the line shown in the graph?
A
1
y x
2
B
y  2x 
C
5
2
D
____ 24. Which describes the slope of a horizontal line?
F positive
H
G negative
J
1
y   x5
2
1
5
y x
2
2
zero
undefined
____ 25. Which correctly completes the sentence?
If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are _________.
A supplementary
C corresponding
B complementary
D congruent
____ 26. Find the zeros of k x   x 2  10x  200.
F 10 and 20
G 5 and 255
H
J
____ 27. What is the distance from M  1, 6  to N  11, 1  ?
A 12 units
C
149 units
B
D
0 and 20
20 and 10
13 units
169 units





____ 28. Given points A  1, 5  , B  2, 1  , C  1, 1  , and D  3, 5  , what type of lines are AB and CD ?
F parallel
H horizontal
G perpendicular
J vertical
____ 29. Use the Quadratic Formula to solve 3x 2  6x  4  0
A
3 
3i
C
1 
3
i
3
B
1 
3
3
D
1 
2
i
2
H
J
3x 4  4x 3  8x 2  12x  3
3x 4  6x 3  12x  3
____ 30. Find the product.
 x 2  3   3x 2  4x  1 



4
3
2
F 3x  4x  10x  12x  3
G 3x 4  5x 3  x 2  3
4
ID: A
____ 31.
If DH EH , whcih of the following must be true.?
A DH  HG
C DH  CG
B
DC  AE
4
____ 32. Expand  p  r  .
F p 4  r4
G
p 4  4p 2 r 2  r 4
D
DH  AE
H
p 4  4p 3 r  6p 2 r 2  4pr 3  r 4
p 4  2p 3 r  4p 2 r 2  2pr 3  r 4
J
____ 33. Write the quadratic function c x   x 2  8x  17 in vertex form.
2
2
A c x   x  4   1
C c x   x  6   5
B
2
c x   x  4   33
D
2
c x   x  6   19
____ 34. What is the area of a triangle with a height of 3 inches and a base of 5.5 inches?
F 8.25 in 2
H 16.5 in.
2
G 8.5 in
J 16.5 in 2
____ 35. Which is a list of all the roots of x 5  7x 4  18x 3 ?
A {0, 2}
C {9, 0, 2}
B {2, 0, 9}
D {9, 2, 0, 2, 9}
____ 36. Which angles are adjacent and form a linear pair?
F
G
1 and 2
3 and 4
H
J
2 and 3
1 and 5
____ 37. Add or subtract. Write your answer in standard form.
 3
 

 x  2x  3  –  3x 2  4x  3 

 

3
A 2x  6x  6
C x 3  3x 2  2x
B x 3  3x 2  6x  6
D x 3  3x 2  6x  6
5
ID: A
____ 38. Which is the equation of the line through  1, 11  and  2, 2  ?
1
F y  3x  8
H y  x8
3
G 3x  y  8
J 3x  y  8
2
____ 39. For a quadratic equation with the discriminant 4  4  2  1, identify the number of solutions and their
type(s).
A 1 real solution
C 2 complex solutions
B 1 real and 1 complex solution
D 2 real solutions
____ 40. Consider h x   2x 2  6x  36. Find its vertex and y-intercept.
F (1.5, 40.5); 36
H (2, 40); 36
G (1.5, 40.5); 18
J (8, 2); 18
____ 41. Divide.
 x 3  x  6   x  2 


2
A x 3
B x 2  2x  3



C
D
x2  x  3
x  1  x  2 
H
J
72
108


____ 42. Given RS  QP , what is the value of x?
F
G
6
9
6