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Systems of Equations Whiteboard Practice **Get whiteboard, sock, & marker.** By PresenterMedia.comPresenterMedia.com
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What type of solution does a system of equations that has intersecting lines when graphed have? Systems of Equations
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ANSWER: One Solution Systems of Equations
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What is a set of two or more linear equations containing two or more variables called? Systems of Equations
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ANSWER: A System of Equations Systems of Equations
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What type of solution does the following system have? Systems of Equations
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ANSWER: No solution. The equations have the same slope but different y-intercepts so the lines are parallel. Systems of Equations
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What is the solution for the system of equations graphed? Systems of Equations
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ANSWER: (-1, -1) Systems of Equations
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Which ordered pair is a solution of the system of equations? A.) (-1, 2)B.) (-3, 0)C.) (3, 6) Systems of Equations
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ANSWER: A. ) (-1, 2) Systems of Equations
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With the ____________ method of solving systems, you have to be careful and check the solution in both equations because it is sometimes difficult to identify the exact solution. Systems of Equations
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ANSWER: Graphing Method Systems of Equations
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Solve the system of equations using any method you choose. Systems of Equations
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ANSWER: (-2, -2) Systems of Equations
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One cell phone company has a $50 activation fee and costs $30 a month. Another company has no activation fee and costs $40 per month. Write a system of equations and find out when the costs will be the same. Systems of Equations
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ANSWER: y = 30x + 50 x = # months y = 40 x y = total cost Solution (5, 200). The cost for both companies will be $200 in 5 months. Systems of Equations
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What is the first step in solving a system of equations algebraically? Systems of Equations
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ANSWER: Rewrite the equations in slope-intercept form (y = mx +b). Systems of Equations
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Rewrite the following equation in slope-intercept form. 4x – 2y = -16 Systems of Equations
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ANSWER: y = 2x + 8 Systems of Equations
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What is the system of equations and the solution that is represented by the graph below? Systems of Equations
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ANSWER: y = -2x – 1 y = x + 5 (-2, 3) Systems of Equations
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PopcornFlix has a movie rental plan in which a customer pays a membership fee of $20 plus $2 for each movie rented. Non-members pay $3 for each movie rented plus a $5 security deposit. How many movies would a person need to rent to make the membership plan a better deal? Write a system of equations and solve to answer the question. Systems of Equations
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ANSWER: y = 2x + 20 y = 3x + 5 (15, 50) A person would need to rent 16 movies or more to make the membership plan a better deal. Systems of Equations
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You have been given two job offers – job A and job B as shown in the table below. After how many years will the salaries be equal? Write a system of equations and solve to answer the question. Systems of Equations JobStarting SalaryYearly Increase A$35,000$1000 B$50,000$250
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ANSWER: y = 1000x + 35,000 y = 250x + 50,000 (20, $55,000) The salaries will be equal in 20 years and the amount will be $55,000. Systems of Equations
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What method for solving systems of equations requires rewriting each equation in slope- intercept form and setting the equations equal to each after taking out the y’s? Systems of Equations
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ANSWER: Algebraically Systems of Equations
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Match the system of equations with its solution. 1.) A. (-2, 1) 2.) B. No Solution 3.) C. Infinitely Many Solutions Systems of Equations
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ANSWER: 1 – C 2 – A 3 - B Systems of Equations
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