Lawrence High School s Required Geometry Honors 2016 Summer Assignment
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1 Lawrence High School s Required Geometry Honors 2016 Summer Assignment Geometry Honors Summer Assignment Page 1 Revised 2016
2 Directions: You are expected to complete this Summer Math Packet to be best prepared for your scheduled math class in September. This packet is due the first week of school. Complete ALL problems. Show all work for every problem. There is a Google Classroom set up named Geometry Honors for you to post questions or answer questions of your fellow classmates. The Code is: 502chgl Google Classroom Group Code: Go to Click on I m a Student Enter access code: 502chgl to access the class. This Google group has been established in order to provide you, the students, with support as a group. If you are struggling with concepts/material, there is a blog option to post questions to one another. In addition, you have the educational resources listed below for additional assistance. Remember the math course from the current school year is the prerequisite course for the course you have enrolled into for the Fall. Your personal notebook and handouts from this year s class is a resource that is at your disposal. You also have the educational resources listed below for assistance, and the instructor may monitor the Google Classroom throughout the summer. Scoring/Grading: Each LHS packet is worth a total of 30 points. Each problem is worth ½ point Any problem with no work shown will receive 0 points. Do not squeeze your work onto the packet pages. Use a separate piece of paper with your name on each page to show your neat and organized work Your teacher will enter a 30 point Summer Math Packet Grade into Power School to record earned grades on the Summer Packet There will be a short quiz after selected Packet material is reviewed in class. Resources: For additional examples and support you can reference any of the sites listed below and search the skill/concept. KhanAcademy.com You Tube.com or Teacher Tube.com MathIsPower4u.com IXL.com Geometry Honors Summer Assignment Page 2 Revised 2016
3 Solve each equation. Show all work. 1. x 9 = 8 2. x 2 3 = n 13 = 1.4n (2x + 5) = 5x x + 1 = 3 (x + 8) 6. 9(8d 5) + 13 = 12d Two scientists are measuring Lava temperatures. One scientist records a temperature of 1725 F. The other scientist records a temperature of 950 C. Which is the greater temperature? (Use C = 5 (F 32)) Your profit for mowing lawns this week is $24. You are paid $8 per hour and you paid $40 for gas for the lawn mower. How many hours did you work this week? Set up and solve an equation. 11. The vertices of a triangle are A(2, 5), B( 1, 2), and C (3,1). Reflect the triangle in the x axis. Then rotate the triangle 90 degrees about the origin. What are the coordinates of the image? Geometry Honors Summer Assignment Page 3 Revised 2016
4 12. The vertices of a triangle are A (2, 4), B(2, 1), and C (5, 1). Dilate the triangle with respect to the origin by a scale factor of 2. Then translate the triangle 2 units left and 1 unit up. What are the coordinates of the image? Determine if each equation is linear. If so, rewrite it in the form Ax + By = C. 13. y = 2x Y = -4x y = x Graph each equation. 16. y = x Y 3 = x + y = 4 Write the equation in slope intercept form from the given information. 19. m = 3, (0, 4) 20. (3, -4), (-6, -1) 21. (5, 8), (-3, 8) 22. (2, 3), (4, 3) 23. Parallel to the graph of 3x 3y = 5 and passes through (1, 0) 24. Perpendicular to the graph of x 3y = 6 and passes through (7, -5) Geometry Honors Summer Assignment Page 4 Revised 2016
5 Solve each system of equations by graphing. 25. y = 10 x 26. 2x + y = -5 Y = x + 1 3x + 3y = 9 Solve each system using substitution x y = Y = 2x - 4 8x + y = 3 y - 2x = 2 Solve each system using elimination x + 3y = x 2y = 16 3x + y = 7 3x + y = The number of y vocabulary words you learn after x weeks is represented by the equation y = 15x. a. Graph the equation and interpret the slope. b. How many new vocabulary words do you learn after 5 weeks? c. How many more vocabulary words do you learn after 6 weeks than after 4 weeks? Geometry Honors Summer Assignment Page 5 Revised 2016
6 Tell whether each relation is a function and explain why Simplify each expression Write each answer in scientific notation ,000, Geometry Honors Summer Assignment Page 6 Revised 2016
7 Factor the following completely 44. x 2 x X 2 7x x 2 + 9x x 2 18x x x The area of a rectangle whose sides are x and x + 6 is 27. Find the dimensions of the rectangle. Use an equation and solve by factoring. Simplify. Leave your answer in simplest radical form Jessica is making a collage of rectangles for her art project. The largest rectangle is 12 inches long and 8 inches wide. What is the length of the diagonal of the rectangle? 60. Jamal and Gloria start hiking from the same point. After Bill hikes 7 miles due east and Jamal hikes 4 miles due north, how far apart are the two hikers? Geometry Honors Summer Assignment Page 7 Revised 2016
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