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5.7a Systems of Linear Inequalities

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Last updated over 2 years ago
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Today's Lesson: Systems of Inequalities
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Baking Word Problem!
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Systems of Linear Inequalities
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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.

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1.

How are you feeling today? Why?

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2.

Which set of points is part of BOTH inequalities' solution sets?

Choose the best (most complete) solution.

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3.

Graphing a System of Inequalities

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

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4.

Graph the system of inequalities.

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5.

Which graph best represents the system of inequalities?

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6.

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

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7.

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?

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8.

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:

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9.

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 .

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10.

Sketch the solution to the system of inequalities.

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11.

Sketch the solution to the system of inequalities.

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12.

Graph the system of inequalities.