Name Date Teacher Semester SUMMER PACKET Accelerated Algebra 017-018 Teacher Mrs. Robison Mrs. Miller Email krobison@gettysburg.k1.pa.us emiller@gettysburg.k1.pa.us 1
Welcome to Accelerated Algebra! I. The problems in this packet are designed to help review the topics from previous mathematics courses that are important to your success in Accelerated Algebra. Please complete each problem, as they are topics you will need to know for this course. II. One resource you may use to help you is the online textbook. Focus on chapters 1-3. In order to access the online student edition, each student will have to visit the textbook site (use Internet Explorer) below and select the picture of the blue textbook. Then provide the following username and password: www.algebra.com User Name: ALG05 Password: thu9echa III. Online resources you may use include, but are not limited to: http://www.purplemath.com http://www.mathforum.org/dr.math/ http://www.mathisfun.com Check out http://www.khanacademy.org for videos that help review specific topics. Click on link and "browse the library" IV. You may email questions to your teacher. Email will be checked weekly over the summer. V. Pacing: Below is a suggested time frame for completion. Please manage your time wisely. Fall Semester Spring Semester Pages #3-6 End of June End of November Pages #7-10 End of July End of December Pages #11-14 Before 1 st day of school Before 1 st day of nd semester VI. Bring the COMPLETED summer packet with you on the first day of class. The packet will be given credit on that day. Anyone without the completed packet will get a zero. Within the first week of the semester a test will be given on the material from the packet. Be prepared! All math courses at the high school require the use of a graphing calculator. The teacher will model the use of the TI-83, TI-83+, TI-84, or TI-84+ model. You are free to purchase from a different company or a different model; however, you will need to know how to use the calculator you choose.
Accelerated Algebra Summer Assignment Name Date Teacher For each question, show work below the problem and write your answer in the blank provided. ANSWERS WITHOUT WORK WILL NOT BE GRADED. Expressions and Formulas: Find the value of each expression. 3 1. ( ) ( 3)( 8) ( 5)( 10). 4( 5 3) ( 4 8) 16 1.. 1 ( 8) 3. 5 5( 3) 4. ( 1) 4( 9) 4 5 9 3. 4. 3 1 Evaluate each expression if a, b 8, c, d 3, and e. 4 3 5. ( ) 6. ac 4 b a c d c d e 5. 6. 1 7. 9bc 8. ab ( d 3 c) 7. e 8. 3
Simplify each expression. 9. 3( m z) 5( m z) 10. x 3y ( 5x 3y z) 9. 10. 1 1 11. 6 ( v) 4 ( v 1) 1. ( 15d 3) ( 8 10d) 3 11. 1. Solve each equation. Check your solution. 13. 10 3 y 60 14. 5 n 98 n 15. 4. 5 p 8. 7 4 13. 14. 15. 16. 4n 0 53 n 17. 100 0 5r 18. x 75 10 x 16. 17. 18. Solve each formula for the specified variable. d f 19. xy x 7, for x 0. 6, for f 4 19. 0. 1. 3( j k) 108, for j. 3. 5s 4 4 t, for s 1.. 4
Solve each absolute value equation. Check your solutions. 3. 5f 3f 4 0 4. 4b 3 15 b 3. 4. Solve each inequality. Then, graph the solution set on a number line. 5. z 9 5z 6. 4( 5x 7) 13 5. 6. Solve each inequality. Then, graph the solution set on a number line. 7. - 10 3x 14 8. 3a 8 3 or 1 a 6 7 4 7. 8. 5
9. 18 4x 10 50 30. 5k 13 or 8k 1 19 9. 30. Solve each inequality. Then, graph the solution set on a number line. 31. 3x 4 8 3. 4s 1 7 31. 3. Find each value if f( x) x 4 and g( x) x 3 x 33. f( 1) 34. f( b) 35. g( ) 36. g( 7 c) 33. 34. 35. 36. 6
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. 13 35 5 3 3 4 10 3 37. (, ),(, ),(, ),(, ) 38. (, ),(, ),(, ),(, ) Domain: Range: Function? Yes or No Domain: Range: Function? Yes or No 39. y x 1 40. y x 4 Domain: Range: Function? Yes or No Domain: Range: Function? Yes or No Determine the x-intercept and y-intercept of each equation. Then graph the line. 41. x 3y 6 4. 5y x 10 y-intercept: x-intercept: y-intercept: x-intercept: 7
Find the slope of the line that passes through each pair of points. 43. ( 47, ) and ( 613, ) 44. ( 64, ) and ( 34, ) 43. 44. 45. ( 51, ) and ( 7, 3) 46. ( 1, 4) and ( 15, ) 45. 46. 47. ( 7, ) and ( 33, ) 48. ( 59, ) and ( 55, ) 47. 48. Graph the line passing through the given point with the given slope. 1 49. slope = and ( 0, ) 50. slope = and ( 14, ) 51. slope = 0and (, 5) 3 8
Write an equation in slope-intercept form for the line that satisfies each set of conditions. 3 13 5. slope = and ( 4, 6) 53. slope =, y-intercept 4 54. slope = and ( 5, 7) 5 5. 53. 54. 9
Write an equation in slope-intercept form for the line that satisfies each set of conditions. 1 55. passes through ( 4, ), parallel to the line whose equation is y x 5 55. 56. passes through ( 31, ), perpendicular to the graph of y 3x 56. 57. passes through ( 1, 1), parallel to the line that passes through ( 4, 1) and (, 3 ) 57. 58. passes through ( 47, ), perpendicular to the line that passes through ( 36, ) and ( 315, ) 58. 10
Graph each inequality. 59. y 3x 1 60. y x 5 Is (0,0) a solution? Is (0,0) a solution? 11
Solve the following system of equations graphically. 61. x y 7 3x y 8 6. 4x x y 6 y 4 Solution: Solution: 1
Solve the following system of equations using substitution. 63. x y 4 x y 0 63. Solve the following system of equations using elimination. 64. x 4y 4 x 1y 13 64. 13
Find the coordinates of the vertices of the figure formed by each system of inequalities. 65. x y x y x 65. 14