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Deductive reasoning and algebraic proof — Homework

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Deductive reasoning and algebraic proof — Homework

Write each two-column proof, citing a property of equality (or the Distributive Property) for every step.

  1. 1.Given 3x - 7 = 20, what property justifies moving to 3x = 27?
  2. 2.Given 3x = 27, what property justifies moving to x = 9?
  3. 3.Write a two-column proof: Given 5(x - 3) = 40, prove x = 11.
  4. 4.Given AB = CD and CD = 15, what property lets you conclude AB = 15?
  5. 5.A classmate skips straight from "2x + 6 = 20" to "x = 7" in one line with no reason given. Explain what is missing.
🌲 Homeschool of the FutureTenth Grade · Math · week 5 homework