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CW 5.7 systems of Inequalities 2

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5.7 systems of Inequalities 2

Lesson objective:
- Write systems of linear inequalities.
- Use systems of linear inequalities to solve real-life problems.
Starter
Example
Another example
Question 1
1.

Write a system of linear inequalities represented by the graph.




Write your answer in the following format.
2 inequalities separated by a comma and a space.

Question 2
2.

Write a system of linear inequalities represented by the graph.




Write your answer in the following format.
2 inequalities separated by a comma and a space.

Question 3
3.

Write a system of linear inequalities represented by the graph.




Write your answer in the following format.
2 inequalities separated by a comma and a space.

Example
Question 4
4.

You can spend at most $21 on fruit. Blueberries (x) cost $4 per pound, and strawberries (y) cost $3 per pound. You need at least 3 pounds of fruit to make muffins.

Write a system of linear inequalities that represents the situation.

Write your answer in the following format.
2 inequalities separated by a comma and a space.

Question 5
5.

You can spend at most $21 on fruit. Blueberries (x) cost $4 per pound, and strawberries (y) cost $3 per pound. You need at least 3 pounds of fruit to make muffins.

Graph a system of linear inequalities that represents the situation.

Question 6
6.

You can spend at most $21 on fruit. Blueberries (x) cost $4 per pound, and strawberries (y) cost $3 per pound. You need at least 3 pounds of fruit to make muffins.

Determine whether you can buy 4 pounds of blueberries and 1 pound of strawberries.

Question 7
7.

You can spend at most $21 on fruit. Blueberries (x) cost $4 per pound, and strawberries (y) cost $3 per pound. You need at least 3 pounds of fruit to make muffins.


Identify and interpret a solution of the system.

Question 8
8.

You are fishing in a lake for salmon (X) and trout (Y). You can sell the salmon for $3
each, and trout for $5 each. Regulations say that you can’t catch more than
15 fish a day, and you can’t catch more than $55 of fish a day.

Write a system of linear inequalities that represents the situation.

Write your answer in the following format.
2 inequalities separated by a comma and a space.

Question 9
9.

You are fishing in a lake for salmon (X) and trout (Y). You can sell the salmon for $3
each, and trout for $5 each. Regulations say that you can’t catch more than
15 fish a day, and you can’t catch more than $55 of fish a day.

Graph a system of linear inequalities that represents the situation.

Identify and interpret a solution of the system in the answer box.

Question 10
10.

You earn £12 per hour working as a manager at a grocery store. You also coach a soccer team for £10 per hour. You need to earn at least £110 per week, but you do not want to work more than 20 hours per week.

Graph a system of linear inequalities that represents the situation.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 11
11.

You earn £12 per hour working as a manager at a grocery store. You also coach a soccer team for £10 per hour. You need to earn at least £110 per week, but you do not want to work more than 20 hours per week.

Identify and interpret a solution of the system in the answer box.

Question 12
12.

Give yourself a rating on the first lesson objective

I can write systems of linear inequalities from a graph

Question 13
13.

Give yourself a rating on the second lesson objective

I can use systems of linear inequalities to solve real-life problems.