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Unit 7 Lesson 3: Two-Step Equations and Inequalities

Unit 7 Lesson 3: Two-Step Equations and Inequalities. Lesson 3: Two-Step Inequalities. Cornell Notes Header. Introduction Problem.

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Unit 7 Lesson 3: Two-Step Equations and Inequalities

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  1. Unit 7 Lesson 3: Two-Step Equations and Inequalities Lesson 3: Two-Step Inequalities

  2. Cornell Notes Header

  3. Introduction Problem • Mr. Smith wants to take his family, a wife and three children, to the movies. He has at most $62. Seven dollars will be spent buying the family a snack for the movie, and the rest will be spent on movie tickets. What amount can Mr. Smith pay for a movie ticket?

  4. Solving & Graphing Two-Step Inequalities - 7 - 7 5t ≤ 55 __ ___ 5 5 t ≤ 11

  5. Problem • Mr. Smith wants to take his family, a wife and three children, to the movies. He has at most $62. Seven dollars will be spent buying the family a snack for the movie, and the rest will be spent on movie tickets. What amount can Mr. Smith pay for a movie ticket? • t ≤ 11 Mr. Smith can pay no more than $11 dollars per ticket. • Can Mr. Smith take the family to the movies? • We cannot determine the answer with the information given.

  6. Solving and Graphing Two-Step Inequalities Group Problem • x/2 - 6 > 10 + 6 + 6 Add 6 to both sides to undo subtracting 6. x/2 > 16 2 ∙x/2 > 16 · 2 Multiply both sides by 2 to undo dividing by 2. x > 32 • Check: 34/2 – 6 > 10 Choose a value larger than 32 to check. 17 – 6 > 10 11 > 10

  7. Summary • Summarize your notes in one to two sentences using the words two-step inequality and graphing.

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