Solving Multi-Step Equations in Integrated Mathematics

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"Learn to solve multi-step equations in integrated mathematics by separating, simplifying, determining variable placement, and solving for the unknown. Practice with examples provided to enhance understanding."

  • Mathematics
  • Equations
  • Integrated
  • Problem Solving
  • Solve

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  1. Solving Multi-Step Equations INTEGRATED MATHEMATICS

  2. Objectives Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms.

  3. Multi-Step Equations 1) Separate the Equation 2) Simplify A) Distributive Property B) Combine Like-Terms 3) Should It Stay or Should It Go (Variables on Left/Constants on Right) 4) Solve for Variable

  4. Multi-Step Equations Ex. 1) 7? + 3 4? + 1 = 10

  5. Multi-Step Equations Ex. 2) 4? 1 + 3? = 10

  6. Multi-Step Equations Ex. 3) 29 = 6? + 5 4 + ?

  7. Multi-Step Equations Ex. 4) 2? + 4 x 3 = 18

  8. Multi-Step Equations Ex. 5) 135 = 3 1 5? 8?

  9. Multi-Step Equations Ex. 6) 9 = 7 7? 1 + 2(? + 1)

  10. Multi-Step Equations Ex. 7) 5 6? 1 5 1 + 8? = 70

  11. Try These 1. 4? 10 1 3? = 20 2. 42 = 5(8n 1)2(n 2) 3. 4? 10 1 3? = 20 4. 2(3p + 1) 4(2 3p) = 50

  12. Multi-Step Equations 1) Separate the Equation 2) Simplify A) Distributive Property B) Combine Like-Terms 3) Should It Stay or Should It Go (Variables on Left/Constants on Right) 4) Solve for Variable

  13. Multi-Step Equations Ex. 9) 3 + 5? = 6? 7 2?

  14. Multi-Step Equations Ex. 10) 7? + 3 = 2(5? + 3)

  15. Multi-Step Equations Ex. 11) 3(7 + 2x) = 30 + 7(x 1)

  16. Multi-Step Equations Ex. 12) 4(3 + 5y) 4 = 3 + 2(y 2)

  17. TRY THESE 1) 8? + 6 2? = 12 4? 2 2) 4d 8 d = 6 - d 3) 3 ? + 4 5 = 5 + 12 4) 4v + 5v 4 = 10 + 3v 5. ? ? ?? = ?(? + ?) 6. ? ? ? + ? ? + ? = ? ?

  18. Objectives Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms. Students will differentiate between equations that have no solution and an infinite number of solutions.

  19. Solutions to Linear Equations Solutions to Linear Equations An equation with one variable may have: Exactly One Real Solution Infinite Real Solutions (Identity) No Real Solution

  20. Multi-Step Equations Ex. 1) 5x 2 = 8x + 4 3x

  21. Multi-Step Equations Ex. 2) 2(4 + x) = 2x 6

  22. Multi-Step Equations Ex. 3) 7x 3 + 5x = 2(6x + 3) 9

  23. Multi-Step Equations Ex. 4) 3m + 3 = 3(m 2) + 9

  24. TRY THESE 1) 3x 9 + 5x = 2(6x + 3) 4x 2) 3d 8 2d = 6 d 3) 3 ? + 2 5 = 1 + 3? 4) 4v + 5v 8 = 3v 10 + 6v + 2 5. 12t + 2 15t = 3t 2

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