Download 1 - Clark County School District

Algebra II 2009–2010 Semester 1 Assessment — Released
1. To which sets of numbers does
4. What is the value of x when
2
3
belong?
3
1 7
x  ?
4
2 8
A. real numbers, whole numbers
A.
1
2
D. real numbers, whole numbers, natural
numbers
B.
6
11
2. Evaluate 2  a  3b  when a  1 and
C.
11
6
D.
8
3
B. real numbers, rational numbers
C. real numbers, integers, rational numbers
b
4
.
3
A. 6
5. Solve the formula for c, where E, m,
and c are positive real numbers.
B. 1
C.
10
3
E  mc 2
D. 6
3. Which is a simplified form of the
expression 4  x  3  2  6 x  1 ?
A. 8x  14
B. 8x  10
A. c 
Em
2
B. c 
E
2m
C. c 
E
m
D. c  Em
C. 8x  13
D. 8x 10
6. Solve for y:
3x  6 y  4x  7x  3  3 y
A. y 
8
x 1
3
B. y  2 x  1
2009–2010
Clark County School District
C. y 
8
1
x
9
3
D. y 
5
x
3
1
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
7. What is the solution set of 2 x  7  23 ?
A.
8
B.
15
C.
8, 15
D.
15, 15
10. Which graph is not a function?
A.
8. Which expresses all of the solutions for
the compound inequality?
B.
8  5 x  2  28
A. 2  x  6
B. x  2 or x  6
C. x  2 or x  6
D. no solution
C.
9. A plumber charges a $60 service charge
for making a house call. The cost for
labor is $45 per hour. Which is a linear
model for the cost of the plumber’s visit
where n represents the number of hours
of labor?
A. C  45n  60
B. C  45n  60
D.
C. C  60n  45
D. C  60n  45
2009–2010
Clark County School District
2
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
11. What is the range of the relation?
13. Which equation represents the relation?


11  
16 
 3,   ,  2,   ,  3, 6  
3 
3


x
y
−1
11
1
3
3
−5
5
−13
A. y  8 x  11
16 

A. 6,  , 3
3 

B. y  5 x  4
C. y  4 x  7
16 11 

B. 6,  ,  
3
3

D. y  2 x  1
 11

C.  , 3, 2 
 3

D.
−3
19
14. Use the graph.
3, 2, 3
12. Which is the equation of a line that
passes through the points  2, 3 and
 4, 1 ?
A. y  2 x  9
B. y 
1
x 1
2
C. y  2 x  7
What is the slope of the line?
D. y  2 x  1
2009–2010
Clark County School District
A. 
4
3
B. 
3
4
C.
3
4
D.
4
3
3
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
15. A community pool is being drained for
cleaning. At 9:00 a.m. the pool is
12 feet deep. At 1:00 p.m. the pool is
10 feet deep. What is the average rate of
change in the water level?
17. Which graph represents the equation
y  2 x  3 1?
A.
A. 2 ft per hour
B. 
C.
1
ft per hour
2
1
ft per hour
2
D. 2 ft per hour
B.
16. Classify the relationship between the
lines 4 x  y  5 and y  4 x  2 .
A. The lines are parallel.
B. The lines are perpendicular.
C. The lines coincide.
D. None of these
C.
D.
2009–2010
Clark County School District
4
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
18. The total amount of money that Susan
makes in a week varies directly with the
number of hours she works during that
week. If Susan makes $450 in a week
for working 30 hours, how many hours
must Susan work to make $525?
19. Which graph represents the piecewise
function?
1
 x  1,
f  x   2
 2,
x2
x2
A. 15 hours
A.
B. 17.5 hours
C. 32.5 hours
D. 35 hours
B.
C.
D.
2009–2010
Clark County School District
5
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
20. The equations of two lines are given.
23. Which graph shows the solution to the
system of inequalities?
2

 y  3 x  5

y  3 x2

4
y x3
7 x  6 y  9
What is the x-coordinate of the point of
intersection of the two lines?
A.
A. x = 9
B. x = −6
C. x = −12
D. x = −27
21. What is the y-coordinate of the solution
of the system of equations?
 3 x  4 y  15

 5 x  5 y  45
B.
A. y = −6
B. y = −3
C. y = 3
D. y = 6
22. What is the z-coordinate of the solution
of the system of equations?
C.
2 x  y  z  3

2 y  z  3

3 x  y  z  2

A. z = –2
B. z = –1
D.
C. z = 0
D. z = 1
2009–2010
Clark County School District
6
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
25. The volleyball team is having a
fundraiser and can purchase t-shirts for
$10 and sweatshirts for $15. The team
has a budget of $1200. Due to shipping
costs, no more than a total of 100 t-shirts
and sweatshirts combined can be
ordered. Let t represent the number of
t-shirts sold and s represent the number
of sweatshirts sold.
24. For one month of text messaging,
Southern Mobile charges a $7.00 base
fee and $0.10 per text message. Nevada
Cell charges $0.20 per text message with
no base fee. How many text messages
would have to be sent for the monthly
cost of both plans to be the same?
A. 50 text messages
B. 70 text messages
The constraints are illustrated in the
graph.
C. 80 text messages
D. 100 text messages
The team makes a profit of $6 on each
t-shirt and $10 on each sweatshirt. How
many of each need to be sold to
maximize profit?
A. 60 t-shirts, 40 sweatshirts
B. 40 t-shirts, 60 sweatshirts
C. 0 t-shirts, 80 sweatshirts
D. 100 t-shirts, 0 sweatshirts
2009–2010
Clark County School District
7
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
26. The tables show the number of shirts by
size for the student council and the
band.
Student Council
Size Boys Girls
S
5
15
M
7
16
L
14
0
Size
S
M
L
27. Determine the values of x and y that
make the equation true.
1  10
y
 5 x 6   20
 5 4    10 6    15 2 

 
 

Band
Boys Girls
13
33
18
24
19
4
A. x  4, y  7
B. x  6, y  7
Which could be used to find the total
number of shirts for small, medium and
large by gender?
C. x  2, y  5
D. x  6, y  7
 5 13 15 33
A.  7 18  16 24

 

14 19  0 4
28. What is the product MN?
 2 5 
 3 6 2 
M   1 0  , N  

 2 1 4
 3 1
 5 15 13 33
B.  7 16  18 24

 

14 0 19 4
6 13
A. 
6 
9
 5 13
15 16 0 
C.  7 18 
33 24 4 

14 19 
16 7 
B. 

 2 0
3 0
 12

C.  3 2 7 
 9 4 1
 5 15
13 18 19
D.  7 16  

 33 24 4

14 0  
24 
 16 7

D.  3 6 2 
 11 17 10 
1
 6
29. What is the determinant of 
?
 5 3 
A. −23
B. −13
C. 13
D. 23
2009–2010
Clark County School District
8
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
30. A linear system is written as a matrix
equation:
31. What graph represents
2
f  x    x  1  3 ?
 5 7   x   9 

 2
3   y   3 

A.
Solve the matrix equation for x.
A. x  3
B. x  6
C. x  33
D. x  48
B.
C.
D.
2009–2010
Clark County School District
9
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
32. What are the solutions to the quadratic
equation 5 x 2  4 x  12  0 ?
A. x  6, x 
2
5
B. x  4, x 
3
5
C. x  3, x 
4
5
35. What is the solution set of the equation
1 2
x  5  55 ?
2
6
D. x  2, x 
5
A.
10, 10
B.
5, 5
C.
5
D.
10
36. Using the discriminant, how many real
and imaginary solutions are there for
the equation?
33. What is the solution set for the
quadratic equation x 2  9 x  6  0 ?
3x2  4 x  2  0
 9  105 9  105 
,
A. 

2
2


A. 2 real solutions, no imaginary solutions
B. 1 real solution, 1 imaginary solution
 9  105 9  105 
,
B. 

2
2


C. 1 real solution, no imaginary solutions
D. no real solutions, 2 imaginary solutions
 9  57 9  57 
,
C. 

2
2


37. What are the solutions of
x 2  8 x  25  0 ?
 9  57 9  57 
,
D. 

2 
 2
A. x  8  6i or x  8  6i
B. x  4  3i or x  4  3i
C. x  4  2i or x  4  2i
34. What value of c makes the left side of
the equation a perfect square trinomial?
D. x  4  3i or x  4  3i
x2  8 x  c  0
38. What is the product  3  2i  3  2i  ?
A. 4
B. 8
A. 5  12i
C. 16
B. 13  12i
D. 64
C. 5
D. 13
2009–2010
Clark County School District
10
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
39. What graph represents the quadratic
inequality?
40. Use the formula below, where h is the
height (in feet) of a falling object after t
seconds and h0 is the object’s initial
height (in feet).
y   x2  6x  3
h  16t 2  h0
A.
A boy standing on a balcony 144 ft
above the ground drops a coin. How
much time does it take for the coin to
reach the ground? (Hint: h  0 when the
coin reaches the ground.)
A.
B.
1
seconds
3
B. 2 seconds
C. 3 seconds
D. 4 seconds
C.
D.
2009–2010
Clark County School District
11
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
41. What graph represents the polynomial
function f  x    x  2 x  1 x  3 ?
42. What graph represents the polynomial
function y  x 4  4 x 3  5 x  5 ?
A.
A.
B.
B.
C.
C.
D.
D.
2009–2010
Clark County School District
12
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
43. Which polynomial represents the
product  x 3  1  x  1 ?
45. What are the zeros of the polynomial
function represented by this graph?
A. x 4  1
B. x 4  1
C. x 4  x3  x  1
D. x 4  x3  x  1
44. What is the solution set of the equation
x 4  10 x 2  9  0 ?
A.
3, 1, 1, 3
B.
3i, i, i, 3i
A.
2, 0, 3
C.
9, 1, 1, 9
B.
3, 0, 2
D.
9i, 9i, 1, 1
C.
2, 3
D.
3, 2
46. What is the set of all real zeros of the
polynomial function
f  x   x3  3x2  x  3 ?
2009–2010
Clark County School District
A.
3
B.
3, 1
C.
1, 1, 3
D.
3, 1, 1
13
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
47. According to the Fundamental Theorem
of Algebra, how many zeros does the
function have?
50. What function represents the graph?
f  x   4 x3  x2  5 x  2
A. 2
B. 3
C. 4
D. 5
48. What is  x 3  4 x 2  2 x  3  divided by
 x  3 ?
A. f  x    x 2  4
A. x 2  5 x  18
B. f  x    x3  2 x 2  4
B. x 2  7 x  23
C. f  x    x 4  x3  2 x 2  4
C. x  x  1
2
D. f  x    x5  x 4  x3  2 x 2  4
D. x 2  4 x  2
49. Which describes the end behavior of the
graph of f  x    x 3  2 x  4 as
x   ?
A. f  x   
B. f  x   
C. f  x   4
D. f  x   1
2009–2010
Clark County School District
14
Revised 07/06/2010
GO ON
Algebra II 2009–2010 Semester 1 Assessment — Released
Free Response
1. This question obsolete as of 2011–2012. See new test specifications and practice questions.
2. This question obsolete as of 2011–2012. See new test specifications and practice questions.
3. This question obsolete as of 2011–2012. See new test specifications and practice questions.
2009–2010
Clark County School District
1
Revised 06/02/2011
GO ON