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Chapter 6 Solving and Graphing Linear Inequalities

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Chapter 6 Solving and Graphing Linear Inequalities

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    1. Chapter 6 Solving and Graphing Linear Inequalities

    2. 6.1 Solving One-Step Linear Inequalities Objective: Graph linear inequalities in one variable Solve one-step linear inequalities

    3. Terms Graph

    4. Rules Inequalities Use the same rules that you use to solve equations. Starting your Graph If you have a > or < use an open circle If you have a > or < use a closed circle Drawing the line Pick a test point. If the test point is true draw your line so that it crosses the test point If your test point is false draw your line away from the test point Special Cases When you multiply or divide by a negative you have to flip the inequality sign.

    5. Practice X > -2 -10 < -x X – 5 > 1 5 + x > -5

    6. Practice 15p < 60 -10a > 100 -a < -2 10 5 + x > -5

    7. White Board Practice One person from each row get materials for white board practice

    8. 6.2 Solving Multi-Step Linear Inequalities Objective: Solve multi-step linear inequalities Use linear inequalities to model and solve real-life problems

    9. Things to Remember If you have a > or < use an open circle If you have a > or < use a closed circle When you multiply or divide by a negative you have to flip the inequality sign. Use order of operations in reverse to solve multi-step inequalities

    10. Practice X + 5 > -13 2(x-8) > -x + 4 15 – x < 7 - ½ x + 3 < 7

    11. 6.3 Solving Compound Inequalities Objective: Write, solve, and graph compound inequalities model a real-life problem with a compound inequality

    12. Terms Compound inequality

    13. Rules Solve each inequality separately Graph each inequality on the same number line If it is an AND graph SHADE WHERE THEY CROSS If it is an OR graph DO NOT SHADE

    14. Practice 6 < x – 6 < 8 6 + 2x > 20 or 8 + x < 0 -4 < 2 + x < 1 3x + 8 > 17 or 2x + 5 < 7

    15. 6.3 Solving Compound Inequalities Part 2 Objective: Write, solve, and graph compound inequalities model a real-life problem with a compound inequality

    16. Missing Assignments 2nd hour Ws 6.2 Brandon Blystone Dalton Mix Breanna Olinger Kyle Reed Cole Robertson Josh Thomas WS 6.3 Brandon Blystone Pre-Test Jonathan Crabb Cody Wheat Jeremy Wiggins 5th Hour Ws 6.1 AJ Knobelauch Ws 6.2 AJ Knobelauch Ws 6.3 Kristin Burnett AJ Knobelauch Ashlee Lewis Pre-Test Kristin Burnett

    17. Rules Solve each inequality separately Graph each inequality on the same number line If it is an AND graph SHADE WHERE THEY CROSS If it is an OR graph DO NOT SHADE

    18. Practice problems 3n + 3 > 24 or 5n - 3 < 25 -43 < 3x – 10 < -19

    19. Practice problems 5x – 10 > 5 or 10n - 30 < 120 15 < 3x – 9 < 21

    20. 6.4 Solving Absolute Value Equations and Inequalities Objective: Solve absolute value equations Solve absolute value inequalities

    21. Terms Absolute Value And graph Or graph

    22. Rules Get rid of absolute value by making 2 problems Determine the type of graph (and or or) Solve both equations Graph the answers on one number line

    23. Practice I x I = 8 I x – 5 I = 7 I x + 3 I < 8 I 3x + 2 I – 1 > 10

    24. White Board Practice One person from each row get materials for white board practice

    25. 6.5 Graphing Linear Inequalities in 2 Variables Objective: Graph linear inequalities in two variables

    27. 6.6 Stem-and-Leaf Plots and Measures of Central Tendency Objective: Make and use a stem-and-leaf plot Find the measures of central tendency

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