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Do Now! (Please)

Chapter 3 Student Notes: Full slides available on website These are meant to supplement additional notes. Assessment topics may not be limited to only what appears in this packet. . Do Now! (Please) .

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Do Now! (Please)

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  1. Chapter 3 Student Notes: Full slides available on websiteThese are meant to supplement additional notes. Assessment topics may not be limited to only what appears in this packet.

  2. Do Now! (Please) • With the help of your graphing calculator and a partner, solve this problem. (Use 0-10 on the x-axis and 0-5 on the y-axis) • The coolest person ever is trying to decide between long distance phone carriers. They offer the following prices: Find equations to model the cost “y” of each plan for “x” minutes and graph your equations on the calculator. Under which circumstances is each plan most desirable? EXPLAIN.

  3. Brought to You by the College Board….. 1) If , what is ? 2) If 4x+3y=14 and 3x-3y=13, what is 7x?

  4. Systems • Graph each system, then determine whether the system has one solution (name it!), no solution, or infinitely many solutions. Test your answers using algebra! 1) 2) 3)

  5. Word Problems! • A test has twenty questions worth 100 points.  The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each.  How many multiple choice questions are on the test? Let x=the number T/F questions and y=the number of MC questions So

  6. More Challenging! • The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.

  7. 3.3 Solving Systems of Inequalities • Graph the inequalities separately (you may wish to use different colored pencils to do this). Remember when to use dotted lines and when to use solid lines! • The solution is simply where the shaded regions overlap.

  8. Example • Graph the system of inequalities:

  9. Your Turn! • Graph the system of inequalities:

  10. Write a System of Inequalities for the Solution Region Below

  11. Is it possible for a system of inequalities to have no solution?

  12. Application • A person’s theoretical maximum heart rate is 220-x where x is the person’s age in years (for ages 20-65 inclusive). When a person exercises, it is recommended that the person strive for a heart rate that is at least 70% of the maximum and at most 85% of the maximum. Write and graph a system of linear inequalities to represent this situation, and use it to determine if a 40 year old with a heart rate of 150 bpm when exercising is within the target zone.

  13. Solution

  14. Give it a Try! • You want to make a health mix of nuts and raisins that provides at least 1800 calories for a hike along the Appalachian Trail that has no more than 110 grams of fat and weighs no more than 20 ounces. Let n = nuts and r = raisins. • Write and graph a system of inequalities to model this situation.

  15. Solution

  16. One More Practice Suppose a zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 ft and the distance around it should be no more than 310 ft. What are the possible dimensions of the habitat?

  17. Solution

  18. 3.4 Do Now : “The Troll Toll” Solve this brainteaser: You are on your way to visit your Grandma, who lives at the end of the valley. It's her birthday, and you want to give her the cakes you've made. Between your house and her house, you have to cross 7 bridges, but there is a troll under every bridge! Each troll, quite rightly, insists that you pay a troll toll. Before you can cross their bridge, you have to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake. • How many cakes do you have to leave home with to make sure that you arrive at Grandma's with exactly 2 cakes?

  19. What Do You Notice?

  20. Application • A public swimming pool has the following rates: ages under 5 are free, ages 5-16 are $3, and ages 16 and up are $4. The pool also has a policy that every child under age 5 must be accompanied by an adult. The families in your neighborhood decide to go to the pool as part of a summer party. There are 22 people in your group and an equal number of children under age 5 as people 16 years old and older. The total admission cost was $54. How many of each group went? • X = ages under 5 • Y = ages 5 -16 • Z = ages 16 and up

  21. You Try! • Courtney has a total of 256 points on three Algebra tests. His score on the first test exceeds his score on the second by 6 points. His total score before taking the third test was 164 points. What were Courtney’s test scores on the three tests?

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