MHCA Math Summer Packet 2015

Transcription

1 MHCA Math Summer Packet 2015 Directions: For students entering Algebra 2 CP You are to complete all the problems assigned in this packet by Friday, September 4 th. If you don t turn in your summer packet when it is due, you will be required to work on your summer packet in the library during your Club period time, every day until your summer packet is complete. You will also lose 10 points from your overall summer packet grade. The summer packet will count as your 1 st Marking Period Project. Failure to complete this on time or to take it seriously will drastically reduce your 1 st Marking Period Grade. Students in Honors class who don t turn in their packet on time WILL NOT be recommended for Honors the following year. You may use as much scrap paper as you want for this packet, but you will ONLY turn in the 6 answer sheet pages for a grade. Any answers not written on the answer sheet will be assumed to have not been answered and you will lose the point for that problem. When you get your graded answer sheet back you can look back at your work to see where you made the mistake. If you can t find it, you are encouraged to see your teacher before school, during club or after school for help. All the material in this packet is what you learned in your math class this past year; so none of it should be new. You will be expected to know all the material in this packet for your Algebra 2 CP class this year. Your teacher WILL NOT reteach the material found in this packet; they will only review it with you at appropriate points in the class. If you do encounter questions where you are not sure how to solve, you may use the links to my YouTube videos for the Algebra 1 and Geometry classes. You should also watch videos from Khan Academy if you can t find your topic in the Algebra 1 and Geometry videos or if you need more supplemental videos. If you have any questions regarding the completion of the MHCA Math Summer Packet please contact me at fmcmahon@maryhelp.org. Have a great summer and we look forward to seeing you at the start of the school year! Fred McMahon Mathematics Department Chair

2 Answer Sheet Use Graph 62. Use Graph 63. Use Graph

3 64. Use Graph 65. Use Graph 66. Use Graph 67. Use Graph 68. Use Graph 69. Use Graph 70. Use Graph Use Graph 88. Use Graph 89. Use Graph 90. Use Graph 91. Use Graph 92. Use Graph 93. Use Graph 94. Use Graph 95. Use Graph 96. Use Graph 97. Use Graph 98. Use Graph 99. Use Graph 100. Use Graph #61 #62

4 #63 #64 #65 #66 #67 #68

5 #69 #70 #87 #88 #89 #90

6 #91 #92 #93 #94 #95 #96

7 #97 #98 #99 #100 # #

8 Use the Pythagorean Theorem to solve for x. Round to the nearest thousandths place if necessary. 1) Alsdkfj 2) Alkdsjf 3) Alsdkfj Use the special right triangles to solve for x and y ) Asldfkj 5) Alsdkj 6) Aldskj 12 7) Alsdkfj 45 Y 30 Y Y Y Use Right Triangle Trigonometry to solve for the missing variables. Round to the nearest thousandths place if necessary. 8) Alsdkjf 9) Aldskj 10) Alsdfkj Z 35 Y Y Z Z 9 Y 21 Solve each equation for x. Round to the nearest thousandths if necessary 11) 7x 9 = 17 15) 8x x + 5 = 52 12) 2x + 5 = 17 16) 7x x 6 = 4 13) 6x 8 = 2x ) 5x x = 6x 20 14) 2x + 17 = 9x 13 18) 2 3 x 5 = 3 5 x + 1

9 19) 7 6 x + 2 = 9x ) 7(2x 8) + 5 = 10x + 9 Solve the following absolute value functions. Round to the nearest thousandths place if necessary. 21) 2x 5 = 17 23) 4x 2 = 12 25) 5x + 7 = 25 22) 3x + 6 = 19 24) 2x + 9 = 13 Solve the following proportions. Round to the nearest thousandths place if necessary. 26) 2 3 = 8 x 28) 3 5 = 27 6x 3 30) 5 6 = 2x 7 3x+5 27) 7 4 = x 19 29) 2 9 = 7x+1 38 Solve each system of equations for x and y 31) y = 2x 5 3x + y = 0 32) y = 4x + 2 5x 2y = 30 33) x = 3y + 4 3x + 6y = 6 34) x = 2y + 9 5x 6y = 13 35) 3x + 5y = 2 6x + 5y = 16 36) 4x + 9y = 22 4x 3y = 10 37) 2x 7y = 16 5x + 7y = 40 38) 8x + 5y = 41 8x + 2y = 26 39) 3x + 5y = 23 2x 4y = 14 40) 6x + 8y = 12 5x 3y = 21 Solve each quadratic equation by factoring 41) x 2 5x 36 = 0 43) x 2 16x + 63 = 0 45) x 2 12x + 36 = 0 42) x x + 56 = 0 44) x x 24 = 0 46) x 2 4x 32 = 0

10 47) x x + 24 = 0 48) x 2 + 2x 63 = 0 Solve each quadratic equation by using the quadratic formula. Round to the nearest thousandths place if necessary. 49) 2x 2 7x + 15 = 0 50) 5x 2 + 9x 8 = 0 Use the properties of exponents to simplify the following problems 51) x 4 x 9 52) (x 2 ) 4 53) (x 3 y 7 z 9 ) (x 12 y 5 z 2 ) 54) x 7 55) x4 y 3 z 8 x 3 y 6 z 5 Add or Subtract the following polynomials 56) (4x 2 7x + 9) + ( 6x 2 + 8x 4) 57) ( 7x 2 + 5x 13) (2x 2 + 8x 10) FOIL the following expressions 58) (5x 7)(2x + 8) 59) (3x 5) 2 60) (8x 4)(x 2 + 9x 1) Graph the following linear functions in slope-intercept form 61) y = 2x ) y = 3 5 x 4 65) y = 1 7 x ) y = 4x 2 64) y = 2 3 x + 6 Graph the following linear functions in standard form 66) 2x + 8y = 16 68) 7x 4y = 28 70) 2x + 3y = 12 67) 6x + 3y = 18 69) 5x 4y = 20

11 Use the given information to write the equation of the line 71) m = 3, b = 4 75) m = 3; ( 4, 7) 79) ( 6, 3), (0, 6) 72) m = 1, b = ) m = 2 ; (6, 1) 3 80) (4, 2), (4, 8) 73) m = 2, b = ) m = 7 ; ( 4, 2) 2 74) m = 4; (1, 2) 78) (8, 1), (5, 7) Solve the following linear inequalities. Round to the nearest thousandths place. 81) 4x 3 > 16 83) 5x + 4 < 6 82) 2x ) 8x 6 12 Solve the following compound inequalities 85) 2 < 3x ) 7 2x 5 < 13 Graph the following linear inequalities 87) y < 2x ) 5x 3y > 15 88) y 3x ) 4x + 2y +5 Graph the following quadratic functions 91) f(x) = x 2 + 2x ) f(x) = x 2 2x ) f(x) = x 2 4x ) f(x) = 2x 2 8x ) f(x) = x 2 + 6x ) f(x) = 2x 2 + 4x 1

12 97) f(x) = 2x 2 + 4x 3 99) f(x) = 3x 2 6x ) f(x) = 3x x ) f(x) = 3x 2 6x 1