Identify solutions to systems of inequalities graphically. Write systems of inequalities from graphs and word problems.
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Some treasure has been buried at a point $${(x,y)}$$ on the grid, where $$x$$ and $$y$$ are whole numbers.
Here are three clues to help you find the treasure:
Clue 1: $$x> 2$$
Clue 2: $$x+y< 8$$
Clue 3: $$2y-x\geq 0$$
Which of the following points could be a possible location for the treasure?
(3,2) (2,3) (5,3) (3,5) (4,3) (5,2)
Write a system of linear inequalities that only has the region named as part of the solution set.
Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65. Write and graph a system of inequalities to represent this situation.
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Some treasure has been buried at a point $${(x,y)}$$ on the grid, where $$x$$ and $$y$$ are whole numbers.
Here are three clues to help you find the treasure:
Clue 1: $$x> 2$$
Clue 2: $$x+y< 8$$
Clue 3: $$2y-x\geq 0$$
Which of the following points could be a possible location for the treasure?
$${(3,2) }$$ $${(2,3)}$$ $${(5,3)}$$ $${(3,5)}$$ $${(4,3)}$$ $${(5,2)}$$
Representing Inequalities Graphically from the Classroom Challenges by the MARS Shell Center team at the University of Nottingham is made available by the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed Oct. 20, 2017, 4:36 p.m..
Modified by Fishtank Learning, Inc.Write a system of linear inequalities that only has the region named as part of the solution set.
Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65. Write and graph a system of inequalities to represent this situation.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can hold at most eight people. Additionally, each boat can only carry 1,200 pounds of people and gear for safety reasons. Assume an average an adult weighs 150 pounds and a child weighs 75 pounds. Also assume each group will require 200 pounds of gear plus 10 pounds of gear per person.
Fishing Adventures 3, accessed on Oct. 19, 2017, 3:49 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.