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BELL-WORK

Learn to solve a set of simultaneous equations algebraically, with exercises on real-world scenarios. Find solutions step by step.

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BELL-WORK

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  1. BELL-WORK -3x + 5 = -3x + 8 5 = 8 No Solution

  2. Solving a Set of Simultaneous Equations Solve Eureka Lesson 22 Exercise 1a algebraically 4x – 1 = -½x + 8 3.5x = 9 x = 2 y = 7

  3. Solving a Set of Simultaneous Equations -3x + 4 = 3x – 2 6 = 6x x = 1 y = 1

  4. Solving a Set of Simultaneous Equations 4x – 9 = x – 3 6 = 3x x = 2 y = 1

  5. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub

  6. Real-World Simultaneous Equations

  7. Real-World Simultaneous Equations

  8. Real-World Simultaneous Equations

  9. Real-World Simultaneous Equations

  10. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub 82 – 5x = 37 – 2x

  11. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub 45 = 3x

  12. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub x = 15

  13. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub y = 7

  14. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub A tree costs $15

  15. Real-World Simultaneous Equations On Monday, Mrs. Jones had $82 to spend. After purchasing 5 trees, she had just enough money left to purchase 1 shrub. Later in that week, she purchased 2 trees. She had $37 with her, so again she had enough money left to purchase 1 shrub. Find the cost of a tree and the cost of a shrub. x = cost of a tree y = cost of a shrub A tree costs $15 A shrub costs $7

  16. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas On Monday… 5x + 4y = 7

  17. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas On Tuesday… 4x + 4y = 6

  18. Real-World Simultaneous Equations

  19. Real-World Simultaneous Equations

  20. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas 7 – 5x = 6 – 4x

  21. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas 7 – 5x = 6 – 4x x = 1

  22. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas 7 – 5x = 6 – 4x x = 1 y = 0.5

  23. Real-World Simultaneous Equations Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On Monday she paid $7 for five sandwiches and four sodas. On Tuesday, she paid $6 for four of each. Find the price of a sandwich and the price of a soda. x = cost of sandwiches y = cost of sodas A sandwich is $1 A soda is $0.50

  24. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second Since the interest rate in the first is 0.075 and 0.08 in the second, with a total of $469.75…

  25. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second Since the interest rate in the first is 0.075 and 0.08 in the second, with a total of $469.75… 0.075x + 0.08y = 469.75

  26. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second Since the total amount invested was $6000… x + y = 6000

  27. Real-World Simultaneous Equations

  28. Real-World Simultaneous Equations

  29. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second -0.9375x + 5871.875 = 6000 – x

  30. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second -0.9375x + 5871.875 = 6000 – x 0.0625x = 128.125

  31. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second -0.9375x + 5871.875 = 6000 – x 0.0625x = 128.125 x = 2050

  32. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second -0.9375x + 5871.875 = 6000 – x 0.0625x = 128.125 x = 2050 y = 3950

  33. Real-World Simultaneous Equations Last year, Zach received $469.75 in interest from two investments. The interest rates were 7.5% on one account and 8% on the other. If the total amount invested was $6000, how much was invested at each rate? x = amount in first y = amount in second $2050 in the first $3950 in the second

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