| Graphing Systems of Equations |
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| 2) List the three types of possible solutions to a system of equations. |
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| 3) Describe the graph of an equation’s lines when a system of equation has no solution. Explain why there is no solution.
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| 4) Describe the graph of an equation’s lines when a system of equations has many solutions. Explain why there are many solutions. |
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In the following questions, graph each system of equations on graph paper, and then state the solution to the system of equations.
Click here to view and print graph paper. |
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| 7) Explain how to solve the previous problem. |
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| 10) A company has two molds to form tires. Mold A has a setup cost of $600 and the cost to make each tire is $15. Mold B has a setup cost of $1,100 and the cost to make each tire is $13. When comparing the cost of making the two tires, after what point will the tires made from Mold B actually be less expensive to make than the tires made from Mold A?
(a) State an equation that represents both setups. Graph both equations and find the point of intersection of the graphs. Use a graphing calculator or click here for a link to an online grapher. Note: You may need to zoom "out" to view the point where the two graphs cross each other.
(b) State the ordered pair that is the "breaking point", the point after which making the tires with Mold B is less expensive than making the tires with Mold A. Check the ordered pair by substituting the coordinates for x and y in each equation to make sure each results in a true statement.
(c) At how many tires and at what cost will the fees for making the tires from the two molds be the same?
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| Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet. |
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| Solving Systems by Substitution |
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In the following problems, use the substitution method to solve the systems of equations. State the solution as an ordered pair if there is one solution. If there are no solutions, state "No Solution." If there are many solutions, state "Many Solutions."
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| Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet. |
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23) What property is illustrated in the following expression: a(1) = a
Click here to review the unit content explanation for Expressions, Variables, and Properties. |
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24) What property is illustrated in the following expression: (x + 4) + y = x + (4 + y)
Click here to review the unit content explanation for Expressions, Variables, and Properties. |
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28) Simplify the expression by applying the laws of exponents.
Click here to review the unit content explanation for Rational Numbers and Exponents. |
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30) Explain the mistake made in simplifying the problem below.
Click here to review the unit content explanation for Polynomials. |
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31) Tommy takes his dog Em for a walk after school. Which scenario is represented best by the graph in terms of Tommy and Em's walk and rate of change?
Click here to review the unit content explanation for Linear Functions. |
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| 32) Mr. and Mrs. Bondy need to rent a car to take their children on a vacation. The table below shows the price list for renting a mid-size car for several days.
(a) Write an equation in slope-intercept form that correctly describes the relationship between the number of days and the rental charge.
(b) How much will it cost to rent the car for 14 days?
(c) If the family spent $1150 for renting the car, how many days did they rent the car?
Click here to review the unit content explanation for Linear Equations and Graphs.
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| 33) 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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| No offline activities found |
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