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Chapter 6 Test Review Algebra 1: 2/13/2013 11. Graph to Solve 2x – 3y = -6 and y = -3x + 2 12. Graph to Solve -3x + y = -3 and y = x - 3 13. Graph to Solve x + 2y = 6 and 3x + 6y = 8 14. Graph to Solve 3x + 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 Solve x + 3y = -28 and y = -5x 18. Substitution to Solve 3x + 2y = 16 and x = 3y - 2 19. Substitution to Solve x – y = 8 and y = -3x 20. Substitution to Solve y = 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 Solve 6x + y = 9 and -6x + 3y = 15 28. Elimination to Solve x – 4y = 2 and 3x + 4y = 38 29. Elimination to Solve 2x + 2y = 4 and 2x – 8y = -46 30. Elimination to Solve 3x + 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 Solve 8x – 3y = -35 and 3x + 4y = 33 37. Elimination to Solve 2x + 9y = 3 and 5x + 4y = 26 38. Elimination to Solve -7x + 3y = 12 and 2x – 8y = -32 39. Elimination to Solve 8x – 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 Solve x > 3 and y < x + 2 52. Graph to Solve y < 5 and y > x - 4 53. Graph to Solve y < 3x – 1 and y > -2x + 4 54. Graph to Solve y < -x – 3 and y > 3x - 2