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Solving Multi-Step Equations

Solving Multi-Step Equations. Objective: Solve equations that involve more than one operation. 5-Minute Check.

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Solving Multi-Step Equations

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  1. Solving Multi-Step Equations Objective: Solve equations that involve more than one operation.

  2. 5-Minute Check • Rupesh earned some money mowing lawns one month. He put half of his money into savings. With the rest, he spent $15 on a new CD, $6 to see a movie, $3 on food, and he still had $24 left. How much money did Rupesh earn mowing lawns that month?

  3. 5-Minute Check • Rupesh earned some money mowing lawns one month. He put half of his money into savings. With the rest, he spent $15 on a new CD, $6 to see a movie, $3 on food, and he still had $24 left. How much money did Rupesh earn mowing lawns that month? • $96

  4. 5-Minute Check • In an intramural basketball game, Annie made 6 points more than Roberto. Roberto made half as many points as Charlie. Charlie made 3 more points than Darla. If Darla made 9 points, how many points did Annie make?

  5. 5-Minute Check • In an intramural basketball game, Annie made 6 points more than Roberto. Roberto made half as many points as Charlie. Charlie made 3 more points than Darla. If Darla made 9 points, how many points did Annie make? • 12 points

  6. Solving Multi-Step Equations To solve multi-step equations, first undo operations involving numbers without variables.

  7. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution.

  8. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 Add 8 to each side.

  9. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 Add 8 to each side.

  10. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 Add 8 to each side. Multiply each side by 2.

  11. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Add 8 to each side. Multiply each side by 2.

  12. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Check: b/2 – 8 = 20 Add 8 to each side. Multiply each side by 2.

  13. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Check: b/2 – 8 = 20 56/2 – 8 ?= 20 Add 8 to each side. Multiply each side by 2. Replace b with 56.

  14. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20 Add 8 to each side. Multiply each side by 2. Replace b with 56. Do the division first.

  15. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20 20 ?= 20 Add 8 to each side. Multiply each side by 2. Replace b with 56. Do the division first. The solution is 56.

  16. Solving Multi-Step Equations Example Solve b/2 – 8 = 20. Check your solution. b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 b/2 = 28 2* b/2 = 28 * 2 b = 56 Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20 20 ?= 20 Add 8 to each side. Multiply each side by 2. Replace b with 56. Do the division first. The solution is 56.

  17. Solving Multi-Step Equations Application: Solve the following by first writing an equation. Teresa’s grocery bill totaled $12.5. If she bought an item for $7.94 and two packs of soft drinks, how much did each pack of soft drinks cost?

  18. Solving Multi-Step Equations Application: Solve the following by first writing an equation. Teresa’s grocery bill totaled $12.5. If she bought an item for $7.94 and two packs of soft drinks, how much did each pack of soft drinks cost? Answer: $2.28

  19. Solving Multi-Step Equations Assignment: Page 590 12 - 32 odd, show your work.

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