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Algebraic Equations Problem Solving Guide

This guide provides strategies to solve algebraic equations, step-by-step examples, and practice problems for mastering the concept. Learn how to simplify expressions, combine like terms, and isolate variables to find solutions. Improve your math skills with this comprehensive resource.

cameron-mckay
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Algebraic Equations Problem Solving Guide

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  1. P.O.D. Solve: 1. -3x + 7 = -11 2.

  2. # # # # Solving: ax + b = cx + d

  3. We must get the variables together before solving!! 5w + 1 = 2w + 13

  4. Examples: • x + 50 = 2x + 100 2. 9n + 5 = 4n – 35

  5. 3. 3(2x + 4) = 2(2x + 25)

  6. 4. 12y + -9(y + 5) = 8(y – 1) – 2 + 2y

  7. 5. 3m – (5m – 2) = 4m + 2(m – 7)

  8. A concert was held at RHS. The income from the concert came from a $250 donation from the school and ticket sales at $8 per ticket. Rent for the auditorium was $200. The school had to pay the band $1400, plus $2 for each ticket sold. The school broke even (didn’t make or lose any $). How many tickets were sold?

  9. HW #1-12 Answers: • x = 1 2. x = 1 3. x = 7 4. x = 10 5. x = 5 6. x = 6 • x = 12 8. x = -12 9. x = -2 10. x = 11 11. x = 5 12. x = 3

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