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Lesson 7-6 Pages 355-359 Solving Multi-Step Inequalities PA Lesson Check 7-5
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What you will learn! How to solve inequalities that involve more than one operation.
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What you really need to know! Some inequalities require more than one step to solve. For such inequalities, undo the operations in reverse order, just as in solving multi- step equations.
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What you really need to know! Remember to reverse the inequality symbol when multiplying or dividing each side of the inequality by a negative number.
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What you really need to know! If the inequality contains parentheses, use the Distributive Property to begin simplifying the inequality.
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Example 1: 5x + 13 > 83 x > 14 5x > 70 14151213 10 111716
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Example 2: 7 – 4a ≤ 23 – 2a -2a ≤ 16 -4a ≤ 16 – 2a -6-5-8-7 -10 -9-3-4 a ≥ -8
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Example 3: According to a fitness magazine, to avoid injury while backpacking, three times the weight of your backpack and its contents should be less than your body weight. 3(b + c) < w
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A person weighing 213 pounds has a 10-pound backpack. What is the maximum weight for the contents of the pack? 3(b + c) < w
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A person weighing 213 pounds has a 10-pound backpack. What is the maximum weight for the contents of the pack? 3(10 + c) < 213
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30 + 3c < 213 3c < 183 c < 61 The weight of the contents should be less than 61 pounds.
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Page 357 Guided Practice #’s 4-12
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Pages 355-356 with someone at home and study examples! Read:
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Homework: Pages 357-359 #’s 14-44 even #’s 47-48, 50-63 PA Lesson Check 7-Ch7
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Link to Lesson 7-6 Review Problems
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Page 741 Lesson 7-6
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PA Lesson Check 7-Ch7
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Study Guide and Review Pages 360-362 #’s 1-43 (Odd answers in back of book)
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Prepare for Test! Page 363 #’s 1-25 PA LC Ch7
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Prepare for Test! Pages 364-365 #’s 1-22
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