5.7a Systems of Linear Inequalities

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12 questions
Do Now
1

How are you feeling today? Why?

Today's Lesson: Systems of Inequalities
1

Which set of points is part of BOTH inequalities' solution sets?
Choose the best (most complete) solution.

10

Graphing a System of Inequalities
What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.

4

Graph the system of inequalities.

0

Which graph best represents the system of inequalities?

1

Which region in the graph represents the solution set to the system of inequalities?

Baking Word Problem!
1

Hayley bakes zucchini bread and banana bread. Some of the ingredients Hayley uses for each type of bread are shown in the tables.

On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear inequalities can Hayley use to model this situation, where b represents the number of loaves of banana bread and z represents the number of loaves of zucchini bread?

2
Using the above information about baking banana and zucchini bread, solve the problem.

What is the number of whole loaves of each type of bread Hayley should make in order to have the least amount of the 15 cups of flour and 9 eggs left over?

You may use Desmos calculator to find this answer.

Banana bread loaves:_______
Zucchini bread loaves: _______
Systems of Linear Inequalities
4
Use the WORD BANK to fill in the blanks: overlap, intersection, all, ordered pairs

The solutions of a system of linear inequalities are the _______ that are solutions to _______ inequalities in the system. On a graph the solutions to a system of inequalities is the_______ of the half-planes or where the shaded regions _______ .
1

Sketch the solution to the system of inequalities.

1

Sketch the solution to the system of inequalities.

1

Graph the system of inequalities.

Tonight's HW

Complete this Formative: all questions #1-12.


If you did NOT watch the video and take notes, you must do so tonight as well.