10-2-19 Solving Systems Inequalities Word Problems.notebook1
October 02, 2019
10/2/19   Algebra 2 Warm­up:  Spongebob and Patrick are selling chocolate bars door­to­door.   Large bags can carry 12 bars and small bags carry 6 bars.  They need to sell at  least 180 bars, but can only carry a max of 24 bags.  Write a system of  inequalities.     
Objectives ­ Graphing Systems of Inequalities
L: large bags s: small bags
10­2­19 Solving Systems Inequalities Word Problems.notebook
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10­2­19 Solving Systems Inequalities Word Problems.notebook
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Large Bags Sm
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Q Solving Systems of Linear Inequalities Quiz.docx
Name: ___________________________
Algebra 2: Systems of Linear Inequalities Word Problems
1. You can work at most 20 hours next week. You need to earn at least $90 to cover your weekly expenses. Your dog-walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write and graph a system of linear inequalities that represent the situation.
Let d represent dog walking hours.
Let c represent car washing hours.
In order to cover your weekly expenses, you could dog walk for ____ hours, and you could car wash for ____ hours.
2. Marsha is buying plants and bags of soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write and graph a system of linear inequalities that represent the situation.
Let b represent the number of bags of soil
Let p represent the number of plants
In order to get enough plants and stay under her budget, Marsha could buy ____ bags of soil, and buy ____ plants.
3. Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 24 candles, and he cannot spend more than $105. Write and graph a system of linear inequalities that represent the situation.
Let s represent the number of small candles
Let L represent the number of large candles
In order to buy enough candles and stay under his budget, Jonah could buy ____ small candles, and buy ____ large candles.
4. John is packing books into boxes. Each box can hold either 15 small books or 8 large books. He needs to pack at least 35 boxes and at least 360 books. Write and graph a system of linear inequalities that represent the situation.
Let s represent the number of small books
Let L represent the number of large books
In order to meet his storage capabilities and pack enough books, John could pack ____ small books and pack ____ large books.
SMART Notebook
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