1.4.4 Practice_ Modeling_ Solving Inequalities-2.pdf

1.4.4 Practice: Modeling: Solving Inequalities Practice Algebra II Sem 1 Points Possible: 20 Name: Emilio Castillo Date: Sep 28 YOUR ASSIGNMENT: Difference of 10 Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game. Your Player 1. Choose your player, and record the number chosen by the other player. ( 2 points: 1 point for each answer) a. Which player did you select?

I selected Erik b. What number did the other player pick? 10 Modeling Ways to Win 2. Should you use an equation or an inequality to represent the ways your player can win? Why? ( 2 points: 1 point for an answer, 1 point for an explanation) We need to use an inequality involving a positive number that is either less than or greater than 10. 3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? ( 2 points: 1 point for an answer, 1 point for an explanation)

4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? ( 2 points: 1 point for an answer, 1 point for an explanation) Yes because it needs to be posistive 5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17. Be sure to define your variable. ( 3 points: 1 point for defining the variable, 2 points for the correct inequality) 6. In order to graph your solutions, solve for the variable. Be sure to show your work. ( 2 points )

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