Algebra I H 2008–2009 Semester 2 Assessment — Released
DRAFT
BEGIN PART I (50 questions)
1. What is the x-coordinate of the point of intersection for the two lines below?
A. –2
B. 0
C.
D. 2
2. What is the y-coordinate of the point of intersection for the two lines below?
A. –6
B. –3
C. 3
D. 6
3. How many solutions does the system have?
A. no solution
B. one solution
C. two solutions
D. infinitely many solutions
4. How many solutions does the system have?
A. no solution
B. one solution
C. two solutions
D. infinitely many solutions
5. Which point is in the solution set for the system of inequalities and ?
A.
B.
C.
D.
6. Which system of inequalities is graphed below?
A.
B.
C.
D. `
7. Jason has 20 coins in nickels and quarters. He has a total of $3.40 in coins. How many quarters does Jason have?
A. 10
B. 12
C. 13
D. 18
8. A movie theater sells regular tickets (r) for $12 each. Students receive discounted tickets (d) for $9 each. One evening the theater sold 834 tickets and collected $9,258 in revenue. Which system of linear equations can be used to determine the number of student tickets sold?
A.
B.
C.
D.
9. Evaluate when x = 2.
A. 12
B. 16
C. 36
D. 64
10. Determine the value of .
A. 9
B. 18
C. 27
D. 81
11. What is 75,200,000 in scientific notation?
A.
B.
C.
D.
12. Multiply: . What is the product in scientific notation?
A.
B.
C.
D.
13. If , what is the value of t?
A. 3
B. 8
C. 16
D. 48
14. Which expression is equivalent to ?
A.
B.
C.
D.
15. Evaluate the expression .
A. −32
B. 0
C.
D.
16. Evaluate the expression .
A. 1
B. 5
C. 10
D. 25
17. Which statement about is true?
A. It lies between 13 and 14.
B. It lies between 14 and 15.
C. It lies between 100 and 200.
D. It lies between 169 and 196.
18. Evaluate the radical expression .
A.
B.
C.
D.
19. Simplify the radical .
A.
B.
C.
D.
20. Simplify the radical .
A.
B.
C.
D.
21. Triangle ABC is a right triangle. Which equation could be used to determine the value of x?
A.
B.
C.
D.
22. Use the converse of the Pythagorean Theorem to determine if the 3 numbers could represent the sides of a right triangle.
I. 5, 7, 9
II. 5, 12, 13
Which of these sets of 3 numbers could represent the sides of a right triangle?
A. Neither I nor II
B. I only
C. II only
D. Both I and II
23. Find the area of the rectangle. Give the exact answer in simplest form.
A.
B.
C.
D.
24. Which expression represents the perimeter of the triangle shown below?
A.
B.
C.
D.
25. Subtract the following polynomials:
A.
B.
C.
D.
26. Multiply the binomials .
A.
B.
C.
D.
27. Multiply the polynomials:
A.
B.
C.
D.
28. Expand the expression .
A.
B.
C.
D.
29. Which of the following is a factor of ?
A.
B.
C.
D.
30. The graph of has how many x-intercepts?
A. 12
B. 2
C. 1
D. 0
31. Which of the following are true statements about the graph of ?
I. Opens Up
II. Opens Down
III. Axis of symmetry x = –4
IV. Axis of symmetry x = 4
A. I and III only
B. I and IV only
C. II and III only
D. II and IV only
32. Find the vertex of the parabola:
A.
B.
C.
D.
33. What is the domain and range of the function shown in the graph below?
A. Domain: all real numbers
Range: all real numbers
B. Domain:
Range:
C. Domain: all real numbers
Range:
D. Domain:
Range: all real numbers
2008–2009 1 GO ON
Clark County School District Revised 07/22/2009
Algebra I H 2008–2009 Semester 2 Assessment — Released
DRAFT
34. Which of the following is the correct use of the quadratic formula to find the solutions of the equation ?
A.
B.
C.
D.
2008–2009 1 GO ON
Clark County School District Revised 07/22/2009
Algebra I H 2008–2009 Semester 2 Assessment — Released
DRAFT
35. What is the solution set for the following equation?
A. {–9, –1}
B. {–9, 1}
C. {–1, 9}
D. {1, 9}
36. What are the roots (solutions) of ?
A.
B.
C.
D.
37. Which of the following equations has roots of –7 and 4?
A.
B.
C.
D.
38. Solve the equation .
A.
B.
C.
D.
39. Which of the following is the graph of ?
A.
B.
C.
D.
40. Which equation best represents the following graph?
A.
B.
C.
D.
41. The area of a rectangular tabletop is represented by . Which pair of expressions could represent the dimensions of the tabletop?
A. ,
B. ,
C. ,
D. ,
42. Simplify the rational expression:
A.
B.
C.
D.
43. Which answer shows a simplified form of the expression below?
A.
B.
C.
D.
44. What is in simplest form?
A.
B.
C.
D.
45. Subtract the rational expressions:
A.
B.
C.
D.
46. For what value(s) of x is the rational expression undefined?
A. 0
B. –5 and –2
C. 0 and 5
D. 2 and 5
47. Simplify the product:
A.
B.
C.
D.
48. 30% of 60 is what number?
A. 0.5
B. 1.8
C. 9
D. 18
49. Solve the equation below for x:
A.
B. 0
C.
D. 12
50. Which solution set represents the values of x that satisfy the equation below?
A. {–5, –4}
B. {–7, –2}
C. {4, 5}
D. {2, 7}
END PART I
GO ON TO PART II
BEGIN PART II (10 questions)
51. Which equation best represents the following graph?
A.
B.
C.
D.
52. Which of the following equations are exponential decay models?
I.
II.
III.
IV.
A. I and IV only
B. I and III only
C. II and IV only
D. II and III only
53. Solve the radical equation:
A.
B.
C.
D.
54. The area of the triangle below is 45.
Find the value of x.
A.
B. 8
C.
D. 113
55. The midpoint of is . If is the point , what are the coordinates of point?
A.
B.
C.
D.
56. Which equation can be used to find the distance between point and point ?
A.
B.
C.
D.
57. What number should be added to both sides of the equation below to complete the square?
A. 6
B. 24
C. 36
D. 144
58. The graph shows a function.
Which model best describes the graph?
A. absolute value
B. exponential
C. linear
D. quadratic
59. How many unique groups of five players can be chosen from a team of 8 players?
A. 40
B. 56
C. 120
D. 6720
2008–2009 1 GO ON
Clark County School District Revised 07/22/2009
Algebra I H 2008–2009 Semester 2 Assessment — Released
60. A French club with 10 members randomly selects its president and vice-president. The first name chosen is the president and the second name chosen is the vice-president.
How many different ways can a president and vice-president be chosen?
A. 10
B. 20
C. 45
D. 90
END PART II
2008–2009 13
Clark County School District Revised 07/22/2009
Algebra I H 2008–2009 Semester 2 Assessment — Released
Free Response
1. Simplify the following expression. Justify each step with the applicable property of exponents. Express your answer with no negative exponents.
2. A rectangular patio has length feet and width feet, where and :
A. If the patio’s perimeter is 60 feet, what is the value of x?
B. If the patio’s area is 9 feet2, what is the value of x?
2008–2009 1 GO ON
Clark County School District Revised 07/22/2009
Algebra I H 2008–2009 Semester 2 Assessment — Released
Free Response
3. Use the equation to answer the following questions:
A. Find the x-intercepts.
B. Find the vertex.
C. Sketch the graph.
D. State the domain and range.
2008–2009 2
Clark County School District Revised 07/22/2009