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Solving Equations Revisited

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General Strategy for Solving Equations

  • Be very comfortable solving 1 and 2 step equations
    • Practice!
  • With more complicated equations:
    • Clear fractions by multiplying by common denominator
    • Clear brackets using distributive property
    • Collect like terms
    • Get to 1 or 2 step equation then solve

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Ex 1: Solving One-Step Equations

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Ex 2: Solving One-Step Equations

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Is This a Solution?

  • Determine if x=-2 is a solution of
  • We don’t know how to solve this type of question!
  • Instead, substitute the solution into each side - if both sides are equal, then it is a solution

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Ex 3: Two-Step Equations

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Ex 4: Equations with Collecting Like Terms

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Ex 5: Application - Finding intercepts

  • Find the intercepts of the line 3x - 4y + 24 = 0
  • Recall the x-intercept is when y=0
  • The y-intercept is when x=0
  • After you’ve solved these equations, check against Desmos!

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Ex 6: Equations with Brackets

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Ex 7: Equations with Fractions