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| 1) Give an example of how systems of linear inequalities can be used in the real world. |
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| 2) When is a dashed line used to connect the points when graphing a linear inequality? |
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| 3) When is a solid line used to connect the points when graphing a linear inequality? |
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| 4) List the steps that should be followed when solving and graphing a linear inequality.
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| 5) Describe how to determine the region of the coordinate plane to shade when graphing linear inequalities. |
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| In the following problems, graph each inequality on graph paper, and then determine which inequality is correct. Write the notation for the inequality symbols as shown in the following examples. |
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| 6) Which graph matches the given inequality?
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| 7) Which graph matches the given inequality? |
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| 8) Which graph matches the given inequality? |
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| 9) Which graph matches the given inequality? |
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| Graphing Systems of Linear Inequalities |
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In the following problems, graph each system of inequalities on graph paper, and then determine the correct solution.
Click here to view and print graph paper. |
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| 10) Which graph represents the solution to the given system of inequalities? |
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| 11) Which ordered pair is part of the infinite number of solutions to the system of inequalities in the previous problem? |
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| 12) Which graph represents the solution to the given system of inequalities? |
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| 13) Which ordered pair is part of the infinite number of solutions to the system of inequalities in the previous problem? |
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| 14) Which graph represents the solution to the given system of inequalities? |
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| 15) Which ordered pair is part of the infinite number of solutions to the system of inequalities in the previous problem? |
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| 16) Which graph represents the solution to the given system of inequalities? |
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| 17) Which ordered pair is part of the infinite number of solutions to the system of inequalities in the previous problem? |
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| Applications of Systems of Equations |
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18) Jeff plants both corn and soy beans on his farm in Noble County. He has a total of 75 acres to plant his crops. Each acre of corn costs $300 to plant and each acre of soy beans costs $125 to plant. His total costs must be no more than $4,500. Determine a system of inequalities that will determine a reasonable number of acres of corn and number of acres of soy beans to plant and remain within his cost limit.
Let x = acres of corn and y = acres of soy beans. |
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| 19) Which region of the graph represents the range of possible solutions that are suitable for Jeff's planting of the 75 acres with corn and soy beans, yet remain within the cost limits he determined? Click here to view the graph. |
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| 20) Which ordered pair would be a solution to the system of inequalities? |
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22) Describe how you would graph the equation, –3x + 2y = 4, on a coordinate plane.
Click here to review the unit content explanation for Linear Functions. |
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24) Simplify and collect like terms.
Click here to review the unit content explanation for Polynomials. |
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25) What property is illustrated in the given math statement?
Click here to review the unit content explanation for Expressions, Variables, and Properties. |
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26) Which expression is not equal to (32 – 8x)/4?
Click here to review the unit content explanation for Polynomials. |
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27) Which expression is not equal to the others?
Click here to review the unit content explanation for Expressions, Equations, and Inequalities. |
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| 31) For the problem below, define a variable for each unknown, write a systems of equations, and then solve.
Two eggs and a serving of bacon cost $3.15. One egg and a serving of bacon cost $2.25. What is the cost of one serving of bacon?
Click here to review the unit content explanation for More Systems of Equations.
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| 32) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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