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Chapter 2 2-4 Solving two step inequalities.  Matt has 4 more hats than Aaron and half as many hats as Michael. If the three together have 24 hats, how.

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Presentation on theme: "Chapter 2 2-4 Solving two step inequalities.  Matt has 4 more hats than Aaron and half as many hats as Michael. If the three together have 24 hats, how."— Presentation transcript:

1 Chapter 2 2-4 Solving two step inequalities

2  Matt has 4 more hats than Aaron and half as many hats as Michael. If the three together have 24 hats, how many hats does Michael have?  A)7  B)9  C)12  D)14  E)18 Problem of the day

3  Answer D is the right answer Solution to the problem of the day

4  Solve inequalities that contain more than one operation. Objectives

5  Inequalities that contain more than one operation require more than one step to solve. Use inverse operations to undo the operations in the inequality one at a time. Inequalities

6  Solve the inequality and graph the solutions.  45 + 2b > 61  Solution: Example #1 0246810 12 14 16 18 20

7  Solve the inequality and graph the solutions.  8 – 3y ≥ 29  Solution: Example#2 –10 –8 –6–4 –2 0246810 –7

8  Solve the inequality and graph the solutions.  –12 ≥ 3x + 6  Solution: Example#3 Student guided practice –10 –8 –6–4 –2 0246810

9  Solve the inequality and graph the solutions.  Solution: Example#4 –20 –12–8–4 –16 0 –11

10  Solve the inequality and graph the solutions.  Solution: Example#5 –10 –20 –12–8–4 –16 0

11  To solve more complicated inequalities, you may first need to simplify the expressions on one or both sides by using the order of operations, combining like terms, or using the Distributive Property. How to solve inequalities

12  Solve the inequality and graph the solutions.  –4(2 – x) ≤ 8  Solution: Example#6

13  Solve the inequality and graph the solutions.  Solution: Example#7 0

14  GO ahead and do problems 1-6 from the two step worksheet Student guided practice

15  Solve the inequality and graph the solutions.  2m + 5 > 5 2  Solution: Example#8 0246810 12 14 16 18 20

16  Solve the inequality and graph the solutions.  3 + 2(x + 4) > 3  Solution: Example#9 –10 –8 –6–4 –2 02468 10

17  To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels? Applications of inequalities

18  The average of Jim ’ s two test scores must be at least 90 to make an A in the class. Jim got a 95 on his first test. What grades can Jim get on his second test to make an A in the class? Applications of inequalities

19  Today we learned about inequalities and how to solve them when they have more than one step.  Next class we are going to learned about solving inequalities with variables on both sides Closure

20 Have a nice day!!


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