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Wednesday, November 10

Wednesday, November 10. Objective: Students will identify solutions of inequalities and write inequalities. Today’s Agenda: Practice 3-3 is due Fill in planner with today’s assignment (Practice 3-4) Bell work.

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Wednesday, November 10

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  1. Wednesday, November 10 Objective: Students will identify solutions of inequalities and write inequalities. • Today’s Agenda: • Practice 3-3 is due • Fill in planner with today’s assignment (Practice 3-4) • Bell work Solve each equation, if possible. If the equation is an identity or has no solution, write identity or no solution.

  2. Today’s Objective(s) • SWBAT • Solve multi-step inequalities with variables on one or both sides.

  3. Steps for Solving Multi-Step Inequalities First, use the distributive property to eliminate any grouping symbols. If there are any!

  4. Steps for Solving Multi-Step Inequalities Second, combine like terms to get your variable on one side of the inequality symbol and combine all constants. If there are variables on both sides!

  5. Steps for Solving Multi-Step Inequalities Third, undo any constant that is being added or subtracted to or from the variable. If there is one!

  6. Steps for Solving Multi-Step Inequalities Finally, eliminate any coefficient from your variable to isolate the variable on one side of the inequality If there is a coefficient!

  7. Example A No grouping symbols, move on to step 2 No like terms, move on to step 3 Undo addition by subtracting 7 from both sides. Then go to step 4 Undo multiplication by dividing both sides by 6. Then graph your solution. 2 3 4 5 6 7 8

  8. Example B Use the distributive property, move on to step 2 Combine like terms, move on to step 3 Undo addition by subtracting 4 from both sides. Then go to step 4 Divide both sides by -1. which reverses the inequality symbol Then graph your solution. 2 3 4 5 6 7 8

  9. No grouping symbols, move on to step 2 Example C Combine like terms to get the variable on one side. Then move on to step 3 Undo subtraction by adding 15 to both sides. Then move on to step 4 Divide both sides by 2. Then graph your solution. 10 11 12 13 14 15

  10. Example D: Write and solve an inequality. • Jackie is a sales associate in a clothing store. Each week she earns $250 plus a commission equal to 3% of her sales. This week she wants to earn no less than $460. How much clothing does she need to sell? Jackie must sell at least $7000 worth of clothing in order to earn at least $460.

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