Algebra 1 6-6 Independent Practice: Systems of Linear Inequalities
By Matt Richardson
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Last updated over 2 years ago
8 Questions
10
1.
Graph the system on the canvas below by hand, without the aid of a graphing utility.
Graph precisely and include important graph detail: label axes and indicate their scale, include arrows at the ends of solid or dashed boundary lines, shade one side or the other of each boundary line in the system. Use a shading technique that makes it easy to determine which regions are shaded once, twice, and not at all. If you need assistance, please ask.
You may complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
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10
2.
Graph the system.
After graphing with this Desmos utility, you may revise your work on the previous item.
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3.
What system of inequalities is represented by the graph?
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4.
Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 4 lb in all. What is a graph showing the amount of each fruit you can buy?
Graph precisely and include important graph detail: label axes and indicate their scale, include arrows at the ends of solid or dashed boundary lines, shade one side or the other of each boundary line in the system. Use a shading technique that makes it easy to determine which regions are shaded once, twice, and not at all. If you need assistance, please ask.
You may complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
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10
5.
Vocabulary: How can you determine whether an ordered pair is a solution of a system of linear inequalities?
You may use the canvas to help illustrate your written response.
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6.
Reasoning: Suppose you are graphing a system of two linear inequalities, and the boundary lines for the inequalities are parallel. Does that mean that the system has no solution? Explain.
You may use the canvas to help illustrate your selected response.
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7.
Writing: How is finding the solution of a system of inequalities different from finding the solution of a system of equations? How is it the same? Explain.
You may use the canvas to help illustrate your written response.
