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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?
Hint: First solve the inequality for y, don’t forget to reverse the inequality symbol.
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Graphing Systems of Linear Inequalities
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?
Hint: Locate each ordered pair of number in the graph and check to see which one is correct location.
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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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| 18) 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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| 19) Simplify and collect like terms: (3x + 4y) + (2x – 5y) – (5x + 3y).
Hint: Remember when you subtract you add the opposite, example –(a – b) = –a + b
Click here to review the unit content explanation for Polynomials.
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| 20) Simplify and collect like terms.
Click here to review the unit content explanation for Polynomials.
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| 21) 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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| 22) Which expression is not equal to (32 – 8x)/4?
Click here to review the unit content explanation for Polynomials.
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| 23) 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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| 24) What is the equation of the line that contains the points (9, –3) and (0, 5)? Express the equation in slope-intercept form.
Click here to review the unit content explanation for Linear Equations and Graphs.
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| 25) Solve the inequality –5x + 4 > –2x + 31, for x.
Click here to review the unit content explanation for Integers and Equations.
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| 26) Solve the system of equations. State the answer as an ordered pair.
Click here to review the unit content explanation for More Systems of Equations.
4x+ 13y = 40
4x + 3y = –40
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27) 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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| 28) 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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