2. Solve each system by graphing. 1. y = ½ x y = 3x + 5

3. Solve each system by graphing. 2. x + y = -2 2x – 3y = -9

4. Solve each system by graphing. 3. 2x – y = – 2 4x – 2y = 2

5. Solve each system by graphing. 4. y = x 2x + y = – 3

6. Part 2: Solve each system by substitution 5. y = x – 3 4x – y = 33

7. Part 2: Solve each system by substitution 6. 2x + y = 2 x = y – 2

8. Part 2: Solve each system by substitution 7. x – 2y = 6 y = ½ x + 3

9. Part 2: Solve each system by substitution 8. y = x – 2 2x – 2y = 4

10. Part 3: Solve each system by elimination. 9. –2x + 3y = 6 2x + y = 10

11. Part 3: Solve each system by elimination. 10. –8x – 10y = 14 8x + 10y = –14

12. Part 3: Solve each system by elimination. 11. 2x + 4y = 10 x + 2y = 4

13. Part 3: Solve each system by elimination. 12. 2x + 3y = 5 x + y = 3

14. Part 4: Which is the best method for the following? DO NOT SOLVE. Graphing, Substitution, or Elimination 13. 8x – 11y = 214. y = 3x – 14 y = 10x + 1 y = –5x + 9 15. x = 3y +2 16. 4x + 7y = -6 4x – 2y = -1 x – y = 4

15. 17. You have a test worth 100 points containing a total of 40 questions. There are 2-point questions and 4-point questions on the test. Write the system of equations in the blanks below. DO NOT SOLVE. Equation__________________ Equation___________________

16. 18. The perimeter of a rectangular field is 504 yards. It's length, l, is 6 yards shorter than twice it's width, w. Write a system of equations that can be used to determine the dimensions of the wooden deck. DO NOT SOLVE. (Remember P = 2l + 2w ) Equation__________________ Equation___________________

17. 19. I have nickels and dimes in my pocket worth 75 cents. The total number of coins I have is 11. Write the two equations that represent the money in my pocket. Solve the system to find the amount of each of the coins. Equation_______________ Solution: ______________

18. _______20. What is the x-coordinate of the solution of the following system? y = 2x x + y = 12 A 2B 4C 3 D -2

19. _______21. What is the solution of the system: y = x + 1 and y = x – 3? A (2,1)B (0,2)C (-2, -3)D No Solution

20. _______22. Which of the following ordered pairs is a solution to the system? 3x – y = 9 5x – 2y = 16 A (2, -3)B (3, 0) C (4, 2) D (2, 3)

21. _______23. Mark and Amy have 84 comic books altogether. Mark has 6 fewer than twice the amount that Amy has. Which system of equations can be used to find out how many comic books that Mark has? A m + a = 84B m + a = 84 m = 6 – a m = 2a – 6 C m + a = 6 D m + a = 84 84 = 2a m = 6 – 2a

22. _______24. What is the y-coordinate of the solution to the system displayed in the table? A 13 B 17 C 10 D 8 xy 813 915 1017 1119 xy 815 916 1017 1118

23. _______25. Valerie runs and plays golf for 15 hours each week. The number of hours she practices golf each week, g, is 2 more than the number of hours she runs, r, each week. Which system of equations could be used to find the number of hours she runs and plays golf each week? A g + r = 15B g + r = 15 g = 2r g = r – 2 C g + r = 15 D 15 – 2r = g g = r + 2 g + r = 15

24. _______26. Which situation best represents the system of equations shown below? 5x + 2y = 50 x + y = 12 A Mary had $50. She spent $5 for each pizza and $2 for each drink. B A quiz in Algebra was worth 50 points. The multiple choice was counted as 5 points and the true / false are 2 points each. C There is $50 worth of paper in the storage room. Some of the boxes cost $5 a box and some boxes cost $2. There are 12 boxes altogether.

25. _______27. Determine the number of solutions for the following system: x – 8y = 6 2x – 16y = 12 A No Solution B Infinitely Many Solutions C One Solution

26. _______28. Determine the number of solutions for the following system: y = -x + 8 x + y = 7 A No Solution B Infinitely Many Solutions C One Solution

27. _______29. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? A 1600 children and 600 adults B 600 children and 1600 adults C 700 children and 1500 adults D 1500 children and 700 adults

28. _______30. A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totalled $487. The second order was for 6 bushes and 2 trees, and totalled $232. The bills do not list the per-item price. What were the costs of one tree? A $47 B $23 C $36 D $28