Do Now 11/16/09 Take out HW from Friday. Copy HW in your planner.

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Presentation transcript:

Do Now 11/16/09 Take out HW from Friday. Copy HW in your planner. Practice worksheet 3.4 Punchline worksheet 24 “How Did the Turtle Call for Help When His Car Broke Down?” Copy HW in your planner. Text p. 151, #10-30 evens Quiz sections 3.4 – 3.6 Wednesday Chapter 3 Test Friday 11/20 Be ready to copy POTW #2

Homework Practice worksheet 3.4 evens

Homework Punchline worksheet 24 “How Did the Turtle Call for Help When His Car Broke Down?” He Used His Shell Phone

Objective SWBAT solve multi-step inequalities

Warm-up Solve Multi-Step Equations Remember this? Warm-up Solve Multi-Step Equations In your notebook, complete the following three examples. Show all of your steps.

Section 3.6 “Solve Multi-Step Inequalities” The steps for solving two-step and multi-step equations can be applied to linear inequalities. Solving Multi-Step Inequalities STEP 1- Use distributive property and combine like terms. STEP 2- Collect variables on one side of the equation. STEP 3- “Undo” addition and/or subtraction. STEP 4- “Undo” multiplication and/or division. (If multiplying or dividing by a negative, flip the inequality sign). STEP 5- Solve for the variable. STEP 6- Check your work. STEP 7- Graph your solution

REMEMBER!!!!! Multiplying and/or dividing each side of an inequality by a NEGATIVE number only produces an equivalent inequality IF the inequality sign is REVERSED!!

Solving Two-Step Inequalities… Isolate the variable! Get ‘x’ by itself. 3x + 5 > -19 To get the ‘x’ by itself first get rid of “adding 5.” 5 5 Do the opposite. “Subtract 5.” Whatever you do to one side of the inequality you must do the other side. 3x > -24 To get the ‘x’ by itself get rid of “multiplying by 3.” 3 3 Do the opposite. “Divide by 3.” x > -8

3x – 7 < 8. Graph your solution. Solve Write original inequality. +7 +7 3x < 15 Add 7 to each side. 3 3 x < 5 Divide each side by 3. ANSWER The solutions are all real numbers less than 5. Check by substituting a number less than 5 in the original inequality.

Solve – 6(x – 5) ≤ 150 –6(x – 5) ≤ 150 –6x + 30 ≤ 150 - 30 - 30 Write original inequality. –6x + 30 ≤ 150 Distributive property - 30 - 30 – 6x ≤ 120 Subtract 30 from each side. -6 -6 – x > –20 Divide each side by 6. Reverse inequality symbol. – ANSWER The solutions are all real numbers greater than equal -20. Check by substituting a number more than -20 in the original inequality.

6x – 7 > 2x+17. Graph your solution. Solve Subtract 2x from each side. -2x -2x 4x – 7 > 17 Add 7 to each side. +7 +7 4x > 24 Divide each side by 4. x > 6 ANSWER The solutions are all real numbers greater than 6.

Practice

Homework Text p. 151, #10-30 evens