Solving Inequalities February 16th,

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1 Solving Inequalities February 16th, Warm-Up (3min) 1.) Describe how you would solve the following equation using inverse operations: 3X = ) Apply your thinking to the following problems: a.) 3.5N = 28 b.) P - ¾ = 4 ½ Learning Target I can use to represent and solve real world problems. 3.) What do you think goes into our learning target blank Wrap Up

2 February 15th, 2018 Learning Target: I can use to represent and solve real world problems. Success: 1.) Solve real world problems 2.) Understand what an inequality is 3.) Write and solve inequalities

3 Inequalities- Reminder An inequality says that two values are not equal. a b says that a is not equal to b There are other special symbols that show in what way things are not equal. a < b says that a is less than b a > b says that a is greater than b

4 Maya spent more than $22 at King Soopers for 5 bags of Takis. Takis are less than $6. What was the price of the bags of Takis? How can we represent the solution? Hold up your white board with an answer.

5 Maya spent more than $25. Inequalities Problem We can represent this with a variable and inequality M > 25 Maya spent more than 25 dollars Each bag of Takis is less than 6 dollars. T < 6 Takis are less than 6 dollars

6 Episode II More than Equations Your goal is for you and your team to find the correct solutions. Each person at your group must find a correct, but different possible solution. You will then decide on an inequality or equation to represent the scenario. The group that shows, the correct number sentence and solutions fastest wins!

7 Kyle sells more than 45 cupcakes. What are possible solutions to show how many Kyle sells? Create an inequality to represent this. Hold up your white board with an answer.

8 At Sea World, San Diego, kids are only allowed into the Air Bounce if they are between 37 and 61 inches tall. They are only allowed on the Tide Pool Climb if they are 39 inches tall or under. Whiteboard Races What do you know about the kids that are allowed to ride both the Air Bounce and Tide Pool Climb? Create an inequality to represent this. Hold up your white board with an answer.

9 Taylor ran 3 miles yesterday and a few more today. Overall, she ran less than 12 miles. What are some possible number of miles she ran today? Create an inequality to show all of the possible answers to this problem. Graph it!

10 Enrique makes $12 a hour babysitting and makes more than $120. What are some possible number of hours he would have to work? Create an inequality to show all of the possible answers to this problem. Draw your graph.

11 How can we solve this? Enrique makes $12 a hour babysitting and makes more than $ H > 120

12 Mady can eat less than 20 candy bars this week. What are possible number of candy bars Mady can eat? Create an inequality to show all of the possible answers to this candy bar problem.

13 What connects do you see in all representations? Mady eats less than 20 candy bars M < How does this show the solutions?

14 Miraya has to make more than $100 for her fundraiser. Each fundraiser item costs $7. What are some possible number of items she can sell? Create an inequality to show all of the possible answers to this problem. Graph it!

15 Holley wrote the inequality: 3X < 17 What are some possible numbers that X can be to make this inequality true?

16 Jackson wrote the inequality: 21 < 5Y What are some possible numbers that Y can be to make this inequality true?

17 James wants to visit less than 50 states in a week. What are some possible number of states he would have to travel to each day to meet this goal in a week? Create an inequality to show all of the possible answers to this problem.

18 Eliana wrote the number sentence: 2X + 7 = 21 What are some possible numbers that X can be to make this true? Graph it!

19 1a) Write an equation to represent the following scenario: Sam ran 6 miles Monday then ran a few more on Tuesday, at the end of the day Tuesday he ran a total of 11 miles. 1b) Solve your equation from 1a 2a.) Write an inequality that represents the following scenario: Sam has more than twice the amount of money as Ryan. Sam has 28 dollars. 2b.) Graph the inequality to show how much money Ryan could have.

20 Plicker (2 ½min) This week, we discussed solving equations let s check our understanding. Solve the following equations- 1) 5X = 125 2) Y + 6 > ) W - 7 < 20