Thanksgiving Break Homework Packet Name: Per: Everyday on break, you are expected to do at least 15 minutes of math work. Here s your schedule: Mon 11/19 Tues 11/20 Wed 11/21 Thurs 11/22 Fri 11/23 Operations with Signed Fractions and Decimals (10 problems) Solving Equations (10 problems) Part A: Solving Systems of Equations using the Graphing Method (6 problems) Solving Systems of Equations using the Elimination Method (10 problems) Solving Systems of Equations Word Problems (5 problems) Part B: Solving Systems of Equations using the Substitution Method (5 problems) Criteria for Success: 1. ALL WORK IS SHOWN FOR ALL PROBLEMS remember no work, no credit 2. All work is legible 3. All work is turned in on Monday November 27th in Homerooms If you are stuck, try the following: Look through your composition notebook for example problems Look through Khan Academy videos for examples (Use the topics under each date to search for videos) Dojo message Ms. Wong or email at mwong@kippla.org
MONDAY: Operations with Signed Fractions and Decimals
TUESDAY: Solving Equations Remember the steps are: Distributive Property Combine Like Terms Move Variable to the Left (using Opposites) Move Number to the Right (using Opposites) Get x by itself by dividing or multiplying
WEDNESDAY, part A: Solving Systems of Equations using the Graphing Method
1. Find the solution by graphing y = -2x + 2 y = x - 1 2. Find the solution by graphing y = 4x - 2 y = 4x + 3 3. Find the solution by graphing y = ½x + 3 y = x + 4 4. Find the solution by graphing y = -x y = x (Estimate)
5. Find the solution by graphing y = ⅔x + 2 y = ⅔x + 2 6. Find the solution by graphing y = ½x + 2 y = -¼x - 1 WEDNESDAY, part B: Solving Systems of Equations using the Substitution Method
1. Solve by substitution y = 3x - 5 y = x + 3 2. Solve by substitution y = 2x + 16 y = 5x + 4
3. Solve by substitution x = -y - 2 2x + 3y = -9 4. Solve by substitution y = x - 3-2x + 2y = 1 5. Solve by substitution x = 3-2y 2x + 4y = 6 THURSDAY: Solving Systems of Equations using the Elimination Method
Example Three: Solving when equations have coefficients that are multiples 1. Solve by elimination 2x + y = 6-2x + y = 2 2. Solve by elimination -4x + 5y = 0-6x + 5y = -10
3. Solve by elimination 2x - 3y = -9 x + y = -2 4. Solve by elimination y - x = 4 2y + x = 8 5. Solve by elimination 2x - y = 4 ½x + y = 1 6. Solve by elimination -4x + 6y = -20 2x - 3y = 10 7. Solve by elimination 6x - 2y = -16 4x + y = 1 8. Solve by elimination 6x - y = 4 6x + 3y = -16
9. Solve by elimination 2x - 2y = 5 2x - 3y = 3 10. Solve by elimination y - 2x = 6 y - 2x = -4 FRIDAY: Solving Systems of Equations Word Problems 1. Jacques will wash the windows of a house for $15.00 plus $1.00 per window. Ray will wash them for $5.00 plus $2.00 per window. Let x be the number of windows and y be the total charge for washing them. Write an equation that represents how much each person charges to wash windows. Solve the system of equations and explain what the solution means and when it would be most economical to use each window washer.
2. Elle has moved to Hawksbluff for one year and wants to join a health club. She has narrowed her choices to two places: Thigh Hopes and ABSolutely fabulus. Thigh Hopes charges a fee of $95 to join and an additional $15 per month. ABSolutely fabulus charges a fee of $125 to join and a monthly fee of $12. Write two equations that represent each club's charges. What do your variables represent? Solve the system of equations and tell when the costs will be the same. Elle will only live there for one year, so which club will be less expensive? 3. Misha and Nora want to buy season passes for a ski lift but neither of them has the $225 needed to purchase a pass. Nora decides to get a job that pays $6.25 per hour. She has nothing saved right now but she can work four hours each week. Misha already has $80 and plans to save $15 of her weekly allowance. Who will be able to purchase a pass first? 4. Ginny is raising pumpkins to enter a contest to see who can grow the heaviest pumpkin. Her best pumpkin weighs 22 pounds and is growing at the rate of 2.5 pounds per week. Martha planted her pumpkins late. Her best pumpkin weighs 10 pounds but she expects it to grow 4 pounds per week. Assuming that their pumpkins grow at these rates, in how many weeks will their pumpkins weigh the same? How much will they weigh? If the contest ends in seven weeks, who will have the heavier pumpkin at that time? 5. Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has $215 and can save $35 each week. Betty has $380 and can save $20 each week. When will Larry and Betty have the same amount of money?