Chapter 6 Test ReviewAlgebra 1: 2/13/2013

11.Graph to Solve2x – 3y = -6 and y = -3x + 2

12. Graph to Solve-3x + y = -3 and y = x - 3

13. Graph to Solvex + 2y = 6 and 3x + 6y = 8

14. Graph to Solve3x + y = 5 and 6x = 10 – 2y

15. MAGIC NUMBERS: Sean is trying to find two numbers with a sum of 14 and a difference of 4. Define two variables, write a system of equations, and solve by graphing.

17. Substitution to Solvex + 3y = -28 and y = -5x

18. Substitution to Solve3x + 2y = 16 and x = 3y - 2

19. Substitution to Solvex – y = 8 and y = -3x

20. Substitution to Solvey = 5x – 3 and x + 2y = 27

22. GEOMETRY: The perimeter of a rectangle is 48 inches. The length is 6 inches greater than the width. Define the variables and write equations to represent this situation. Solve the system by using substitution.

27. Elimination to Solve6x + y = 9 and -6x + 3y = 15

28. Elimination to Solvex – 4y = 2 and 3x + 4y = 38

29. Elimination to Solve2x + 2y = 4 and 2x – 8y = -46

30. Elimination to Solve3x + 2y = 8 and x + 2y = 2

31. BASEBALL CARDS: Cristiano bought 24 baseball cards for $50. One type of card costs $1 per card, and the other cost $3 per card. Define the variables, and write equations to find the number of each type of card he bought. Solve by using elimination.

36. Elimination to Solve8x – 3y = -35 and 3x + 4y = 33

37. Elimination to Solve2x + 9y = 3 and 5x + 4y = 26

38. Elimination to Solve-7x + 3y = 12 and 2x – 8y = -32

39. Elimination to Solve8x – 5y = 18 and 6x + 6y = -6

40. BAKE SALE: On the first day a total of 40 items were sold for $356. Define the variables and write a system of equations to find the number of cakes and pies sold. Solve by using elimination.

Bake Sale

Pies $ 10

Cakes $ 8

51. Graph to Solvex > 3 and y < x + 2

52. Graph to Solvey < 5 and y > x - 4

53. Graph to Solvey < 3x – 1 and y > -2x + 4

54. Graph to Solvey < -x – 3 and y > 3x - 2