Fort Zumwalt West High School Pre-AP Algebra SUMMER REVIEW PACKET Name: * This packet is to be handed in to our Pre AP Algebra teacher on the first da of the school ear. *All work must be shown in the packet OR on separate paper attached to the packet. *Completion of this packet will be counted toward our first quarter grade. An assessment of these skills will occur the first week of school. There are man websites available for tutorials and etra practice. For eample, Kahnacadem.org is a great resource.
Pre AP Algebra Summer Packet Set up and solve an equation for each problem. 1. And s weight is 105 pounds. This is nine pounds more than two-thirds his brother s weight. Find his brother s weight.. Maria drove 111 miles in hours. About how far could she drive in 5 hours?. Carl makes a % commission on each of his sales. When he sold a new car, he made $190. How much did the car cost? 4. The length of a rectangle is 4 ft. This is 6 ft. more than twice the width. Find the perimeter. 5. The earl membership to the San Diego Zoo for a famil with adults and children is $144. The regular admission to the zoo is $18 for each adult and $8 for each child. How man times should such a famil plan to visit the zoo in a ear to make a membership less epensive than paing regular admission? 6. Keith weighs 00 pounds. He wants to weigh less than 175 pounds. If he can lose an average of pound per week on a certain diet, how long should he sta on his diet to reach his goal weight? 7. Nicholas wants to order a pizza. He has a total of $1.00 to pa the deliver person. The pizza costs $7.50 plus $1.5 per topping. If he plans to tip 15% of the total cost of the pizza, how man toppings can he order?
8. The total number of people at last Frida s football game was,000. Student tickets were $ and adult tickets were $5. If the school collected $7,750 in ticket sales, how man students and how man adults bought tickets? Define our variables, then write and solve a sstem to find our answer. 9. Three times one number added to five times another number is 54. The second number is two less than the first. Find the numbers. 10. The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. You must be able to do these fraction and radical problems without a calculator! Find the value of each epression. Show an work ou used to obtain the answer. 11. 1. 4 1. 5 7 16 4a 8 1 14. 7 9 5 1 15. 5 8 16 16 8 16. 1 7 11 9 16 Simplif each radical epression. 17. (4 6) 18. 4 19. 18 0. 14 1. 11. 8. 4 18 4. 4 5 5. 8 +
Solving these first degree equations. 6. 7 5 16 7. n 1 n n 86 8. 5 7 5 9. w 4 w 6 5 5 Multipl these binomials. 0. 5 1. 6 1. 5. ( + ) 4. ( 5) 5. ( + 4) 6. (+5)(-5) 7. ( + 4)( 4) Factor each polnomial completel. 8. 1 6 9. 7 40. 7 15 41. z + 4z 1 4. 6 + 5 + 4. k + k 60 44. 10b 4 15b 45. 9c 0c + 5 46. 9n 4 47. mn mt + pn pt 48. 1 5 40 49. 15 + 14 8 50. 8 18 + 9 51. 16 56 + 49
(Factoring continued) 5. b 100 5. n 64 54. 5 55. + 8 + 4 56. + 0 7 57. 5 + 58. 4 + 1 + 5 59. 7 + 60. 4 7 61. + 19 + 45 6. + 4 + 1 6. + 8 + 5 64. 4ab + 8b + a + 6 65. 1 + 5 5 66. + 7 7 67. 4b 0 + 15a ab 68. 4 + 14 + 6 + 1 69. 6 15 8 + 0 Solve these equations b factoring. 70. 6 7 0 71. 10 11 0 7. 5 15 90 0 7. 4 7 5 Solve each equation b using the Quadratic Formula. Leave answers in simplified radical form. 74. 4 10 75. 4 0 76. 15 77. 15
Graph and label each point on the coordinate plane. 78. A 80. C (, ) ( 4, 4) 79. B 81. D (4, ( 1, 0) ) 8. Find the slope between points A and D. 8. Write the equation of a line that connects points B and C. Find the slope of the line from the given information. 84. (, 5) and ( 0, 1) are on the line 85. passes through ( 6, ) and (, ) 86. (, 4) and (, ) are on the line 87. Passes through (-, 4) and (0, 5) 88. the line is perpendicular to = - + 5 89. has this graph Write the equation of the line in point-slope form, given the following information. 90. slope: -4 and through (-, ) 91. slope: 1 and through (6, 0) Write the equation of these lines in slope-intercept form from the given information. 9. passes through (5, 1) and (, 4) 9. passes through (-, ) and (-, -) 94. vertical through (4, 1) 95. horizontal through (4, 1)
Write the equation of these lines in slope-intercept form from the given information. 96. -intercept is 4 and -intercept is - 97. has this graph 98. passes through (-1, 4) and is parallel to = ⅓ + 4 99. passes through (0, 5) and is perpendicular to = 8 100. passes through (, -1) and is parallel to + = 4 Graph these linear equations. 101. 5 15 10. 4 ( 5) 5 10. f( ) 104.
Graph these lines that are in slope-intercept form. 105. = 106. = - +4 Graph these inequalities. 107. < ½ 108. + 109. An airplane at an altitude of 000 feet descends at a rate of 500 feet per mile. Write a linear equation in slope-intercept form to model this situation. 110. Ale is on the biggest loser. His beginning weight is 45 pounds. Ale wants to lose 15 pounds per week. Write a linear equation in slope-intercept form to model Ale s potential weight loss. 111. In 00, the student population at Washington High School was 1,950. In 009, the population was,550. Find the average rate of change in student population for Washington High School.
Solve these sstems of equations using substitution or elimination. 11. 4 10 5 4 11. 4 1 6 114. 6 4 1 115. 8 14 Epress each of the following in simplest form. Answers should not have an negative eponents. 116. 5a o 117. c c 1 118. (a ) 119. (n p 1 ) (np) 10. (m) (5m 7 ) 11. (a 5 ) 1. ( b c 4 ) 5 1. 4m(a ) 14. m6 m 4 15. 4 16. 5 5 4 17. 4 1 18. 5 6 5 19. a b a 4 10. ( 4) 11. m m 1 1. ( 1 4 ) 8 1. 7 14. (a 4 b 6 ) 1 15. 1 6 4 16. (a ) 6 5 17. 5 4 5 ( z ) ( z) 18. 18 4 9 19. p 9 p q q 4