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Published byArnold Holt Modified over 8 years ago
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Copy the essential question on the top of page 13: How can you explain if a linear equation has one solution, no solution, or infinite solution? Warm-up Solve the situation. Show your work. You are folding origami cranes that will be used as decorations at a wedding. If you make cranes for 1 hour without a break, you can make 40 cranes. During a 3 hour period, you make 100 cranes. How much time did you spend not making cranes? 30 minutes
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One Solution Solve: 3x – 5 = 13 3x – 5 = 13Write original equation 3x – 5 + 5 = 13 + 5Addition property 3x = 18Simplify Division property Division property X = 6Simplify
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No solution Solve: -2(x – 5) = 7 – 2x -2(x – 5) = 7 – 2x -2(x – 5) = 7 – 2x -2x + 10 = 7 – 2x -2x + 10 = 7 – 2x -2x + 10 – 7 = 7 – 7 – 2x -2x + 10 – 7 = 7 – 7 – 2x -2x + 3 = -2x -2x + 3 = -2x -2x + 2x + 3 = -2x + 2x -2x + 2x + 3 = -2x + 2x 3 = 0 3 = 0 Write original equationWrite original equation Distributive propertyDistributive property Subtraction propertySubtraction property SimplifySimplify Subtraction propertySubtraction property SimplifySimplify This solution is not true – so there is no solution.
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Infinite many solutions Solve: 5(3 – 2x) = -(10x – 15) 5(3 – 2x) = -(10x – 15) 5(3 – 2x) = -(10x – 15) 15 – 10x = -10x + 15 15 – 10x = -10x + 15 15 – 10x + 10x = 15 – 10x + 10x 15 – 10x + 10x = 15 – 10x + 10x 15 = 15 15 = 15 Write original equationWrite original equation Distributive propertyDistributive property Addition propertyAddition property SimplifiedSimplified This solution is true – so there is infinite many solutions. Any number you put in for x will work.
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Station Time! Get out your LadderGet out your Ladder Be prepared to move to your station in one minute.Be prepared to move to your station in one minute. Begin working without being reminded !Begin working without being reminded !
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Quiz Time Put all your station materials awayPut all your station materials away Make sure you have a practice worksheet to complete for homeworkMake sure you have a practice worksheet to complete for homework Clear off your table & put up a red folderClear off your table & put up a red folder Be prepared to tell Mrs. S what color test you need.Be prepared to tell Mrs. S what color test you need. When you finish, put your test in the basket and continue working on your practice sheet if you have time.When you finish, put your test in the basket and continue working on your practice sheet if you have time.
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Homework Practice # of Solutions worksheet# of Solutions worksheet Complete the video lesson for the next station or review the video lesson for the station you did today if needed.Complete the video lesson for the next station or review the video lesson for the station you did today if needed. Review and reflect on your notes from today.Review and reflect on your notes from today.
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2 minute countdown Make sure your planner is filled out.Make sure your planner is filled out. Organize and put away your materials. Don’t leave anything behind!Organize and put away your materials. Don’t leave anything behind! Thank someone for their help or kindness.Thank someone for their help or kindness. Stay seated until Mrs. S dismisses you.Stay seated until Mrs. S dismisses you. Remember every minute counts!
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