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Algebra 1 | Unit 2 | Lesson 26: Modeling with Systems of Inequalities in Two Variables | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

Algebra 1 | Unit 2 | Lesson 26: Modeling with Systems of Inequalities in Two Variables | Practice Problems
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8 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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Explain what the second inequality in the system tells us about the situation related to buying notepads.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

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Complete the graphs to show the solution set to the system of inequalities.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

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Find a possible combination of large and small packages of notepads the organizer could order.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

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Create a system of inequalities that describes the constraints in this situation where a stylist manages haircuts and hair coloring.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

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Identify a point that represents a combination of haircuts and hair-coloring jobs that meets the stylist’s requirements.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

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Identify a point that is a solution to the system of inequalities but is not possible or not likely in the situation and explain why this solution is impossible or unlikely.

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7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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