11-12-19 systems of inequalities word problems
TRANSCRIPT
11-12-19 Systems of Inequalities Word Problems.notebook1
November 12, 2019
11/12/19 Algebra 1 Warmup: Is (3,10) a solution to the following system of linear inequalities? Show work.
Objectives Review for Section 4 Test
y < 3x + 1 5x + 2y > 30
111219 Systems of Inequalities Word Problems.notebook
2
111219 Systems of Inequalities Word Problems.notebook
3
4
(1,1) (3,2) (0,3) (0,4) (3,1)
What's this inequality?
2 3 4 3
3
3
5
November 12, 2019
Bristol is having a party and has invited 24 friends. She plans to purchase sodas that cost $5.00 for a 12pack and chips that cost $3.00 per bag. She wants each friend to have at least two sodas. Bristol's budget is $35.00. p: 12packs of soda c: bags of chips
12packs of soda
6
November 12, 2019
Sara and Jessica are selling apparel to earn money for a cruise. Knitted scarves are $50 each, and mittens are $25 per pair. They want to make at least 30 scarves and mittens combined. They need to earn at least $1000 to pay for the cruise. s: scarves m: mittens
scarves
7
Attachments
Systems of Linear Inequalities Word Problems.docx
Name: __________________________________
Graph the following linear equalities.
1.
2.
Name: __________________________________
1.
2.
3.
3.
4.
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 and not exceed your hourly availability, 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 boxes of small books
Let L represent the number of boxes of large books
In order to meet his storage capabilities and pack enough books, John could pack ____ boxes of small books and pack ____ boxes of large books.
SMART Notebook
Page 5
Page 6
Page 7
November 12, 2019
11/12/19 Algebra 1 Warmup: Is (3,10) a solution to the following system of linear inequalities? Show work.
Objectives Review for Section 4 Test
y < 3x + 1 5x + 2y > 30
111219 Systems of Inequalities Word Problems.notebook
2
111219 Systems of Inequalities Word Problems.notebook
3
4
(1,1) (3,2) (0,3) (0,4) (3,1)
What's this inequality?
2 3 4 3
3
3
5
November 12, 2019
Bristol is having a party and has invited 24 friends. She plans to purchase sodas that cost $5.00 for a 12pack and chips that cost $3.00 per bag. She wants each friend to have at least two sodas. Bristol's budget is $35.00. p: 12packs of soda c: bags of chips
12packs of soda
6
November 12, 2019
Sara and Jessica are selling apparel to earn money for a cruise. Knitted scarves are $50 each, and mittens are $25 per pair. They want to make at least 30 scarves and mittens combined. They need to earn at least $1000 to pay for the cruise. s: scarves m: mittens
scarves
7
Attachments
Systems of Linear Inequalities Word Problems.docx
Name: __________________________________
Graph the following linear equalities.
1.
2.
Name: __________________________________
1.
2.
3.
3.
4.
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 and not exceed your hourly availability, 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 boxes of small books
Let L represent the number of boxes of large books
In order to meet his storage capabilities and pack enough books, John could pack ____ boxes of small books and pack ____ boxes of large books.
SMART Notebook
Page 5
Page 6
Page 7