Algebra I H Semester Practice Eam 1. What is the -coordinate of the point of intersection for the two lines below? 6 7 y y 640 8 13 4 13. What is the y-coordinate of the point of intersection for the two lines below? 16 16 6 7y 0 3y 4 4. How many solutions does the system of equations have? 4y 1 3 6y 9 no solution one solution two solutions infinitely many solutions 5. Which ordered pair is in the solution set for the system of inequalities shown below?, 1 0, 1 1, 6, 1 y 3 y1 3. How many solutions does the system of equations have? y 4 4y 8 no solution one solution two solutions infinitely many solutions 008 009 1 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 6. Which system of inequalities is shown in the graph below? (Assume each tick mark is one unit.) y 1 y y 1 y y 1 y y 1 y 7. Yolanda has 30 coins worth $.35. She has only nickels and dimes. How many dimes does Yolanda have? 15 17 19 3 8. Karla is 3 times as old as Lauren. In 4 years, the sum of their ages will be 56. Which system of linear equations can be used to find the age of Karla (k) and Lauren (l)? k 3l 4k 4l 56 l 3k 4l 4k 56 k 3l k 4l456 l 3k l k 4 56 9. Evaluate 3 when 3. 18 7 43 79 10. Determine the value of 48 64 96 18 3 4. 11. What is form? 0.0000157 0.000157 15,700 1,570,000 4 1.57 10 in standard (decimal) 008 009 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 5 6.010 1. Divide:. What is the quotient 3 3.010 in scientific notation? 13. If 3 9 18 0. 10 8 0. 10.0 10 8.0 10 y 6, what is the value of y? 3 14. Which epression is equivalent to 3 3 3 4 abc abc? 1 4 6a b c 8 3 11 6a bc 1 4 9a b c 8 3 11 9a bc 15. Simplify the following epression using only positive eponents: 16. Evaluate the epression 8 16 3 17. Which statement is the best approimation of 85? 3 6. It lies between 9 and 10 and is closer to 10 than it is to 9. It lies between 9 and 10 and is closer to 9 than it is to 10. It lies between 81 and 100 and is closer to 100 than it is to 81. It lies between 81 and 100 and is closer to 81 than it is to 100. 18. What is the simplest form of the radical 64 epression? 400 5 8 0 5 1 0 10a 8 0 10a 10a 008 009 3 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 19. Simplify the radical 108. 3 3. Find the area of the figure. Give the eact answer in simplest form. 6 3 3 6 3 1 0. Simplify the product 18 3. 3 10 6 3 3 3 6 1. The length of a rectangular television is 0 inches. The diagonal measures 5 inches. Which epression below can be used to find the width, in inches, of the television? 30 10 30 10 0 4. Which epression represents the perimeter of the rectangle? 5 0 inches + 3 0 5 inches 0 5 5 0 inches inches. Use the converse of the Pythagorean Theorem to determine which 3 numbers could represent the sides of a right triangle., 4, 5 3, 3, 5 4, 4, 5 6, 8, 10 6 + 8 6 + 16 1 + 8 1 + 16 4 + 5 008 009 4 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 5. The function g is the amount of money Shawn has in the bank at the beginning of the month. The function f is the amount of money withdrawn from the account during the month. Which epression represents the amount of money left at the end of the month? 8. Epand the epression: 7 4 49 4 49 4 8 49 4 8 49 f ( ) 3 1 g ( ) 6 0 5 5 8 5 8 5 8 5 5 8 9. Which of the following is a factor of 3 16 1? 3 3 3 3 4 3 5 6. Which epression below represents the product of 5 6 and 5? 30. How many -intercepts does the graph of y 9 30 5 have? 10 37 30 10 13 30 10 13 30 10 37 30 0 1 3 7. Multiply the polynomials: 1 4 5 3 8 6 9 3 8 6 3 8 14 9 3 8 14 008 009 5 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 31. Which of the following are true statements about the graph of y 3 1 6? I. Opens up II. Opens down III. Ais of symmetry = IV. Ais of symmetry = I and III only I and IV only II and III only II and IV only 3. Find the verte of the parabola given by the equation below: (1, 7) (1, 5) (, 0) (3, 5) y 3 6 4 33. Determine the domain and range of the function y 1 3 shown in the graph below. (Assume each tick mark represents one unit.) Domain: 3 1 Range: all real numbers Domain: 1 3 Range: all real numbers Domain: all real numbers Range: y 4 Domain: all real numbers Range: y 4 008 009 6 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 34. Which of the following is the correct use of the quadratic formula to find the solution set of the equation 3 4 8? 4 4 438 4 4 4 3 8, 3 3 4 4 438 4 4 4 3 8, 3 3 4 4 438 4 4 4 3 8, 3 3 4 4 438 4 4 4 3 8, 3 3 35. What is the solution set for the equation below? 7, 1 1, 7 3, 4 3 69 16 37. Which of the following equations has roots of 3and 1? 3 1 0 3 1 0 3 1 0 3 1 0 36. What are the roots (solutions) of the equation 6 3? 3 6,3 6 3 6, 3 6 3 6,3 6 3 6, 3 6 008 009 7 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 38. Solve the equation: 4 3 4 4, 3 3 16 9 16 16, 9 9 9 16 0 39. Which of the following is the graph of y 3? (Assume each tick mark represents one unit.) 008 009 8 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 40. Which equation best represents the graph below? (Assume each tick mark represents one unit.) 6 y 6 y 3 1 y 3 1 y 41. The area of a right triangle is 1 represented by 9 36. Which pair of epressions could represent the base and height of the right triangle? 6, 6 9, 4 1, 3 18, 4. Simplify the rational epression: 3 9 7 8 15 9 5 9 5 9 7 15 8 3 3 9 5 3 43. Which answer shows a simplified form of the epression below? 1 3 3 7 y y 36 10 y 4 y 7 10 7 36y 3 4 4y 3 4 5 008 009 9 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 44. What is form? 3 5 in simplest 4 4 47. Simplify the quotient: 6 9 4 1 56 8 4 4 8 45. What is 1016 4 104 4 416 4 44 4 5 3 in simplified form? 46. For what values of is the rational 104 epression undefined? 36 I. = 6 II. = 4 III. = 6 4 3 4 3 3 4 3 1 4 48. Eighteen is what percent of 30? 5.4 % 4.6% 55% 60% 49. Solve the equation below for : 0 13 8 1 1 5 6 4 10 I only III only I and III only I, II, and III 008 009 10 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 50. Which solution set represents the values of that satisfy the equation below? 3 7 8 10, 1 8, 3 1, 10 3, 8 51. Which of the following graphs could model the graph of the equation 1 y 3? (Assume each tick mark represents one unit.) 008 009 11 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam 5. A used truck purchased for $10,000 depreciates at the rate of 15% per year. Which of the following equations would be used to find the value of the truck after 5 years? V 0.155 10,000 V 0.155 10,000 V 10,0001 0.15 5 V 10,0001 0.15 5 53. Solve the radical equation 9 1 16 for. 5 16 5 4 54. The perimeter of the rectangle below is 30. 18 19 75 570 6 Find the value of. 6 55. The midpoint of AB is, 3 the point 5, 10. If A is, what are the coordinates of point B? ( 1, 4) (, 7) 56. Which equation can be used to find the E 5, and distance between point point F 3, 6? d 5 3 6 d 5 3 6 d 35 6 d 35 6 57. What number should be added to both sides of the equation to complete the square for the equation 8 17? 4 16 9 49 008 009 1 GO ON Clark County School District Revised 07//009
58. The table shows a function. y 4 1 1 0 0 1 1 4 Which model best fits the data? absolute value eponential linear quadratic 59. A teacher needs to choose 3 students to carry boes to the office. How many unique groups of 3 could she choose from the 5 students in her room? 6 10 15 60 60. A baseball coach needs to select a pitcher and a catcher from the 11 people on the team. If the coach randomly chooses the pitcher and then the catcher, how many different ways could he choose them? 1 4 110 0 Algebra I H Semester Practice Eam 008 009 13 Clark County School District Revised 07//009
Algebra I H Semester Practice Eam Free Response 1. Simplify the following epression. Justify each step with the applicable property of eponents. Epress your answer with no negative eponents. 64ab 6ab ab 4a 3 5 4 4 6 5. A rectangular patio has length f feet and width g ( ) 5: g feet, where f( ) 3 7 and g f If the patio s perimeter were 88 feet, what would be the value of? If the patio s area were 11 square feet, what would be the value of? 008 009 1 GO ON Clark County School District Revised 07//009
Algebra I H Semester Practice Eam Free Response 3. Use the equation y 8 15 to answer the following questions: Find the -intercepts. Find the verte. Sketch the graph. y State the domain and range. 008 009 Clark County School District Revised 07//009