1 / 17

Do Now 12/16/09

Do Now 12/16/09. Take out HW from Monday and Tuesday. Text p. 366, #16-32 even, 36 & 40 Text p.368, #1-10 Copy HW in your planner. Text p. 372, #10-24 even, 30-34 even, 38, 40. 16) d ≥ -37.2 18) k ≤ 0.49 20) x ≥ 37.5 22) y ≤ 45 24) p ≤ -0.38 26) t < 0.61

jolene
Download Presentation

Do Now 12/16/09

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Do Now 12/16/09 • Take out HW from Monday and Tuesday. • Text p. 366, #16-32 even, 36 & 40 • Text p.368, #1-10 • Copy HW in your planner. • Text p. 372, #10-24 even, 30-34 even, 38, 40

  2. 16) d ≥ -37.2 18) k ≤ 0.49 20) x ≥ 37.5 22) y ≤ 45 24) p ≤ -0.38 26) t < 0.61 28) The inequality sign was not reversed when dividing by -15. x < -3. 30) 8x > 50; x > 25/4 32) v/-9 < -18; v > 162 36) at most 5 CDs 40) d < 18(0.75); d < 13.5 miles HomeworkText p. 366, #16-32 even, 36 & 40

  3. Punchline worksheets “How Can you Tell Van Winkle’s Trousers?” “How Did the Turtle Call for HELP When His Car Broke Down?” There’s a rip in them He Used His Shell Phone

  4. 1) x ≥ -13 2) y < 8 3) v ≥ -3 4) w > 13 5) r < 8 6) s > -31 7) m ≤ -13 8) n < 28 9) c ≤ -48 10) at least 50 minutes Homework Text p.368, #1-10

  5. Section 6.3“Solve Multi-Step Inequalities” INEQUALITIES – mathematical sentence formed by placing a <, ≤, >, or ≥ between two expressions. 13 * 22 ≥14 - z 2y – 8 < 12 5c + 14 > 30 w/11 - 10 ≤121

  6. Section 6.3“Solve Multi-Step Inequalities” The steps for solving two-step and multi-step equations can be applied to linear inequalities.

  7. 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!!

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

  9. Solve –0.6(x– 5)<15 – –0.6(x–5)<15 – –0.6x+ 3 <15 – –0.6x<12 – ANSWER – The solutions are all real numbers greater than equal -20. Check by substituting a number more than -20 in the original inequality. Divide each side by 0.6. Reverse inequality symbol. x > –20 – Write original inequality. Distributive property Subtract 3 from each side.

  10. –1 –1 ( p –12) > –2 4 4 ( p –12) > -2 ANSWER The solutions are all real numbers greater than 20. Check by substituting a number greater than 20. Write original inequality. – ¼ p + 3 > -2 Distributive property. -¼ p > –5 p < 20

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

  12. 14x+ 5 < 7(2x –3) There are no solutions because 5<–21is false. Solve: 14x+ 5 < 7(2x –3) Write original inequality. 14x+ 5 < 14x –21 Distributive property 5 < –21 Subtract 14xfrom each side. **HINT** If an inequality is equivalent to an inequality that is false, such as 5 < -21, then the solution of the inequality has NO SOLUTION.

  13. All real numbers are solutions because –1 > –6 is true. 12x –1 > 6(2x – 1) 12x –1 > 6(2x – 1) Write original inequality. 12x –1 > 12x – 6 Distributive property –1 > –6 Subtract 12xfrom each side. **HINT** If an inequality is equivalent to an inequality that is true, such as -1 > -6, then the solutions of the inequality are ALL REAL NUMBERS .

  14. Graphs of “No Solution” and “All Real Numbers” • “No Solution” • “All Real Numbers”

  15. Amount ofgasoline (gallons) Maximumamount (dollars) Price ofcar wash (dollars) Price ofgasoline (dollars/gallon) + • < g < 1.99 + 8 20 – Car Wash Use the sign shown. A gas station charges $.10 less per gallon of gasoline if a customer also gets a car wash. What are the possible amounts (in gallons) of gasoline that you can buy if you also get a car wash and can spend at most $20? Because you are getting a car wash, you will pay $2.09–2 $.10 = $1.99 per gallon of gasoline. Let gbe the amount (in gallons) of gasoline that you buy. STEP 1 Write a verbal model. Then write an inequality.

  16. STEP2 You can buy up to slightly more than 6 gallons of gasoline. Solve the inequality. 1.99g +8 ≤ 20 Write inequality. Subtract8from each side. 1.99g ≤ 12 Divide each side by 1.99. g ≤ 6.03015. . . CHECK You can use a table to check the reasonableness of your answer.The table shows that you will pay $19.94 for exactly 6 gallons of gasoline. Because $19.94 is less than $20, it is reasonable to conclude that you can buy slightly more than 6 gallons of gasoline.

  17. Homework • Text p. 372, #10-24 even, 30-34 even, 38, 40

More Related