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Name: ____________________________________________________________________ Date: __________ Summer 2015 Geometry Packet The goal of summer math is to ensure that students are prepared for their high school math classes. The skills learned in elementary and middle schools are an integral part of success at the high school level, and this packet covers many of the important concepts that students entering high school should have mastered. All students entering Geometry as either a sophomore or freshmen must complete this math packet over the summer. It is due Wednesday, September 2, 2015 (or the first day you are in school). Packets will not be accepted late. You will receive two grades for this packet β one quiz grade of 100% for completing all of the problems, and another quiz grade based on the accuracy of your work and answers. Be sure to show all work to complete the problems. In your Geometry class, you will not be using a calculator regularly. Therefore, there is NO CALCULATOR USE ALLOWED ON THE SUMMER PACKET. Additionally, all students will be taking a pretest the first day of school on the information covered in this math packet, and students will not be allowed to use a calculator on the pretest either. For more practice on these skills, use the following internet sources: www.purplemath.com www.khanacademy.com If you lose your packet, there is a copy on the website, http://npsd.k12.ri.us/nphs/ under βAcademicsβ. Good luck and have a great summer! 1 Integer Rules: Addition: Same sign, just ADD and keep the sign Different signs, SUBTRACT and keep the sign of the larger number Subtraction: Change the operation to addition and change the sign of the second number. Now it is ADDITION, use the rules from above Multiplication/Division: If the signs are the same, the answer is POSITIVE 2 If the signs are different, the answer is NEGATIVE Calculate the surface area of the following figures. Use the PARCC formula sheet given in the packet. Round your answers to the nearest hundredth. 1) For Problem #1 only, find the perimeter of the net. P = _________ 2) 3) GRAPH THE FOLLOWING EQUATIONS. 3 1) π = ππ β π 3) π¦ = 2 3 π₯ + 1 2) π¦ = β3π₯ + 2 4) 3π₯ + 2π¦ = 6 Solve the following equations. Show all work! 4 1) 7π + 12 = β4π + 78 4 4) 12 β 5 (π₯ + 15) = 4 2) πβ4 π 6 =2 5) 3(π β 2) = 2(3π + 3) 3) 5(π + 8) β 7 = 103 6) Solve for u. ππ = πππ + π 5 Perfect Squares and Square Roots List all of the perfect squares under 150 (there are twelve) and find their square roots. Simplify the following radicals. No decimals. Show work! 1) β32 2) 3β18 4) β 6 5) β 12 3) β5 β β10 β72 6) 6 β35 15 Factor each expression. Show all work! 1) 14π‘ 2 β 21π‘π’ + 35π‘ 2 π’2 2) π₯2 β 4π₯ β 12 3)2π 2 + 13π β 24 4) 16π‘ 2 β 36π‘ + 8 5) 9π 2 β 12π + 4 6) 64 β 36π₯ 2 6