Bell Work 10/8/14 Solve the inequality. 1. x29 4. 13 x 2 2. x 7 1 5. 3. x 2 6 4.2 x 3.6 Yesterday’s Homework 1. Any questions? 2. Please pass your homework to the front. • Make sure the correct heading is on your paper. • Is your NAME on your paper? • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted. Heading 4/13/2015 3.3 Solving Inequalities by Multiplying and Dividing TSWBAT: solve one-step linear inequalities using multiplication and division. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Notes • Review 4 x 28 2. 5x 45 5 5 4 4 x 9 x7 x x 4. 6 7 6 5. 2 9 2 6 2 x 42 18 x 1. 3 1 3 7. x 8 1 3 1 1 x 24 18 3x 3 3 6x x 6. 4 10 4 4 x 40 3. 2 5 5 8. 8 x 21 5 2 40 x 2 20 x Notes • Rules for Solving Inequalities 1. Solve just like you would an equation. - THERE IS ONLY ONE EXCEPTION: If you multiply or divide by a negative number you MUST reverse the inequality symbol. Notes Solve the inequality. Ex. 3x 18 Isolate the variable! 3 3 x6 Do we have to flip the sign? Now you try. Ex. 6 x 42 6 6 xx 77 Isolate the variable! Do we have to flip the sign? Notes Solve the inequality. Ex. 4 x 20 Isolate the variable! 4 4 x 55 Do we have to flip the sign? Now you try. Ex. 2 x 12 Isolate the variable! 2 2 x6 Do we have to flip the sign? Notes Solve the inequality. Ex. x 4 3 4 4 x 12 Isolate the variable! Do we have to flip the sign? Now you try. Ex. x 5 6 5 5 x 30 30 Isolate the variable! Do we have to flip the sign? Notes Solve the inequality. Ex. x 3 9 3 3 xx 27 27 Isolate the variable! Do we have to flip the sign? Now you try. Ex. x 6 8 6 6 x 48 Isolate the variable! Do we have to flip the sign? Notes Solve the inequality. Ex. 5 Isolate the variable! 5 3 5 x 6 3 1 Do we have to flip the sign? 3 30 x 10 x 3 Now you try. Ex. 3 2 3 3 x 4 1 2 2 12 x 2 x 6 Isolate the variable! Do we have to flip the sign? Notes Solve the inequality. Ex. 30 6x 6 6 5 x x 5 Isolate the variable! Do we have to flip the sign? Just flip it! Now you try. Ex. 35 5x Isolate the variable! 5 5 7 x Do we have to flip the sign? Just flip it! x 7 Notes Solve the inequality. Ex. x 3 2 2 5 2 1 6 x 5 Isolate the variable! Do we have to flip the sign? Now you try. Ex. x 2 Isolate the variable! 6 6 6 3 Do we have to flip the sign? 1 12 x x 4 3 Summary To solve an inequality involving multiplication equation The or division just treat it like a regular ________. divide by a only difference is that if you multiply or ______ symbol If the variable is negative you must flip the _______. ________ flip the whole thing. on the right side do not forget to ____ Ticket Out the Door Complete the Ticket Out the Door without talking!!!!! Talking = time after the bell! Put your NAME on the paper. When finished, turn your paper face DOWN. Solve the inequality. 4 x 36 Today’s Homework Rules for Homework 1. Pencil ONLY. 2. Must show all of your work. • NO WORK = NO CREDIT 3. Must attempt EVERY problem. 4. Always check your answers. Homework Solve the inequality. 1. 4 x 16 4. x 3 5 7. 2 x 4 5 10. 18 3x 3.3 2. 3x 21 5. x 8 6 8. 3 x6 2 11. 24 3x 3. 8x 32 6. x 10 2 9. 4 x 8 5 12. 5 5 x 2