Systems of Inequalities D2

14 Systems of Inequalities D2 December 01, 2015 Have your homework out ready to check! Warm­Up HW Check Notes p. 59 Stations Homework ­ Practice #1­4 Reminders ­ Quiz Friday ­ Test next Tuesday Essential Question How do I find possible solutions to a system of inequalities? 1. Without graphing, explain why the point (2,­2) is not a solution to the system of inequalities and 2. Find each piece of information for the inequality 3x ­ 4y > 12 Slope: _______ Y­intercept: ________ Is the line dotted or solid? Shade up or shade down? 14 Systems of Inequalities D2.notebook December 01, 2015 Questions, Comments, Concerns? 14 Systems of Inequalities D2.notebook December 01, 2015 Systems of Inequalities p. 59 Essential Question How do I find possible solutions to a system of inequalities? 1. Write a system of inequalities for the graphs below: • Find the slope and y­intercept of one line. • Determine if the line is solid or dotted, then if it is shaded up or down. • Write the inequality for line 1. • Repeat for line 2! 14 Systems of Inequalities D2.notebook December 01, 2015 Systems of Inequalities p. 59 Essential Question How do I find possible solutions to a system of inequalities? 2. Write a system of inequalities for the graphs below: 14 Systems of Inequalities D2.notebook December 01, 2015 Systems of Inequalities p. 59 Essential Question How do I find possible solutions to a system of inequalities? 3. For which point on the grid satisfies the conditions and A. Point A B. Point B C. Point C D. Point D 14 Systems of Inequalities D2.notebook Systems of Inequalities p. 59 Essential Question How do I find possible solutions to a system of inequalities? 4. Jamal makes $12 an hour mowing yards and $6 an hour raking leaves. He cannot work more than 15 hours per week. Write and graph the two inequalities that Jamal can use to determine how many hours he needs to work at each job if he wants to earn at least $120 per week. Let Let If Jamal decides to mow for 11 hours, what is the maximum number of hours he could rake? If Jamal decides to rake for 6 hours, what is the minimum number of hours he would need to mow? December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 Systems of Inequalities p. 59 Essential Question How do I find possible solutions to a system of inequalities? You will complete each of the task cards, filling out the answer document. Due by the end of the period! 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 14 Systems of Inequalities D2.notebook December 01, 2015 HW Help: Systems of Inequalities Day 2 Remember: NO work = NO credit = NO kidding!! Order does not matter! 2. You try! 3. The y­coordinate should be bigger than ­4.5 and the x­coordinate should be less than ­3.4! 4. You do not need to graph here, as long as you can find the inequalities. A. x + y ≤ 20 2x + 5y ≤ 60 B. Can you have a negative amount of hats? C. Can you have half a hat or half a crown? D. Plug x=9 into BOTH equations to check! E. Plug y=6 into BOTH equations! 14 Systems of Inequalities D2.notebook Answer the exit ticket to the best of YOUR abilities. No notes, no neighbor, no help! December 01, 2015