Math 8 Summer Assignment 2017 DUE: SEPTEMBER 13 TH, 2017

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1 Math 8 Summer Assignment 2017 DUE: SEPTEMBER 13 TH, 2017 Name: As an incoming 8th grade math student, it is important that you are proficient in several skills from previous math courses. This assignment contains examples of the skills you are expected to know such as solving equations, graphing coordinates, proportional relationships, and geometry as you enter your 8th grade math class this September. **Completion of this packet will count towards your first assessment grade.** **All students entering Math 8 will be assessed on the skills reviewed in this assignment.** If you need assistance with any of these skills, we strongly recommend that you utilize the videos that are provided for each section or go on the Math 8 Summer Assignments website:

2 I. Map Your Mathematical Trip! Directions: Solve each of the following problems. Remember to show all of your work. The solutions will give you the x and y-coordinates of the points you will plot on your map, in order, as you travel around Franklin and back. NOTE: You do not retrace your path to return home. Bon Voyage! Solving Equations: Solve each equation to reveal the x and y-coordinate for each location. Show all of your work. Problem 1: y x-coordinate: Solve 4x = 44 y-coordinate: Solve 2 = 1 Problem 2: x-coordinate: Solve x + 8 = 21 y-coordinate: Solve 4y 4 = 20 Problem 3: x-coordinate: Solve -5x 3 = -23 y-coordinate: Solve.5y + 11 = 13

Problem 4: https://www.youtube.com/watch?

-3(4 2y) = 24 Problem 5: https://www.youtube.com/watch?

y-coordinate: Evaluate the expression if a =- 2, b = 8, c = -9 if a

3 Problem 4: x-coordinate: Solve -5(x + 2) = 0 y-coordinate: Solve -3(4 2y) = 24 Problem 5: x-coordinate: Evaluate the expression b 2 4ac y-coordinate: Evaluate the expression if a =- 2, b = 8, c = -9 if a = -4, b = -5, c = -5 Problem 6: x-coordinate: Solve y-coordinate: Solve

4 Problem 7: x-coordinate: Solve 2x - 4-5x = 2 y-coordinate: Solve 4y + 1 = -3y + 22 Problem 8: x-coordinate : (-3) 2 y-coordinate: (2) ( -3) 2

Problem 9 https://www.youtube.com/watch?

5 Problem 9 EVALUATE THE FOLLOWING AND THEN PLOT THE MOST COMMON X AND Y COORDINATE x-coordinate: = y-coordinate: = -4 - ( -3) = 4 - (-7) = 6 + (-5) = 6 + (-3) = = 23 - (-2) = 1(-1) = - 3 ( -1) =

6 Problem 10: x-coordinate: Solve -3x + 2x + 14 = 3 y-coordinate: Solve 4y + 6 2y = 10 7th Grade PARCC Reference Sheet can be found on the website listed above. II. TRACK YOUR JOURNEY! 1. Connect a line from the coordinate points found in Problems 7, 8, and 9. Find the area of the triangle that is formed. 2. What is the distance from the coordinate point you found in Problem 4 to the point you found for Problem 7?

7 III. ALONG THE WAY 1. You drive 120 miles from Somerset, New Jersey to Allentown,Pennsylvania. a) If the trip took you 2 hours, what was your average speed in miles per hour? b) Write an equation to describe the number of miles driven, y, in terms of hours driven, x. c) Use your equation to fill in the table below. x (hours) y (miles) d) Does the above situation represent a proportional relationship? How do you know? e) If four gallons of gas cost $10, how much money will you spend on your trip?

2. You stop at a gas station between Franklin and Manville and buy a box of Sour Patch Kids. The box is a rectangular prism and measures 15 x 8 x 2 centimeters. a) What is the volume of the box?

8 2. You stop at a gas station between Franklin and Manville and buy a box of Sour Patch Kids. The box is a rectangular prism and measures 15 x 8 x 2 centimeters. a) What is the volume of the box? b) If the volume of a Sour Patch Kid is 6 cubic centimeters, approximately how many Sour Patch Kids will fit in the box if it is full? c) The box of Sour Patch Kids costs $1.85. Find the unit rate (price per Sour Patch Kid).

9 Math 8 Summer Assignment SCORING RUBRIC DUE SEPTEMBER 13 TH, 2017 SCORE CRITERIA 5 Student completed packet and showed effort throughout. 3 Student partially completed packet and showed little effort throughout. 0 Student did not complete packet or showed no effort throughout.

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