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System of Equations Substitution EliminationGraphing Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy Real life scenarios
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What is the solution to this system of equations? Jeopardy
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(1,6) Jeopardy
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A system of equations has been graphed at the right. What is the solution to this system of equations? Jeopardy Each tick mark = 1
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(3, 3) Jeopardy
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(1, 2) is a solution to which system of equations? Jeopardy
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Given the system of equations, what do you know about their solution? Jeopardy
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There is no solution. The lines have the same. The lines are parallel. They lines will not intersect. Jeopardy
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xy -20 02 24 46 68 xy 5 08 111 214 317 Each table represents a set of linear data. What is the solution to this system of equations?
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(-3, -1) Jeopardy xy -4-2 -3 -20 02 24 46 68 xy -3 5 08 111 214 317
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Solve this system of equations by substitution: Jeopardy
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(2, 6)
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Jeopardy Solve this system of equations by substitution:
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Jeopardy (3, 4.5)
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Jeopardy Solve this system of equations by substitution:
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(6, 4) Jeopardy
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Solve this system of equations by substitution:
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(0, 2) Jeopardy
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Which system of equations if already set up to use the substitution method to solve for the solution? Jeopardy
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You want to use the elimination method to solve for the solution to this system of equations. Tell how you can eliminate the y term.
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Jeopardy Multiply the first equation by -8 and the second equation by 7 and then add the equations. Or Multiply the first equation by 8 and the second equation by -7 and then add the equations Or Multiply the first equation by 8 and the second equation by 7 and then subtract the equations
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Jeopardy Solve this system of equations by elimination:
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Jeopardy (20, 40)
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Jeopardy Solve this system of equations by elimination:
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Jeopardy (-2.5, -1)
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Jeopardy Solve this system of equations by elimination:
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Jeopardy Infinitely many solutions because the two equations are the same line.
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Jeopardy Solve this system of equations by elimination:
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(1, 3) Jeopardy
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What best describes the systems of equations shown in the graph below? Jeopardy graphing
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Jeopardy No Solution graphing
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Which of the following is true for a system of equations to have an intersection at exactly one point? a.) Both equations must have the same slope. b.) Both equations must have the same slope and the same y-intercept. c.) The equations must have different slopes and the y- intercepts can be the same or different. Jeopardy graphing
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Jeopardy c.) The equations must have different slopes and the y-intercepts can be the same or different. graphing
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What inequality statement is graphed at the right? Jeopardy graphing
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Jeopardy graphing
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Jeopardy The dark blue section represents the solution of a system of inequalities. True or False The points (4, 1) is in the solution set. graphing
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Jeopardy False graphing
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Jeopardy What inequality statement is graphed at the right? graphing
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x < 2 Jeopardy graphing
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Jeopardy A buffet has one price for adults and another for children. The Taylor family has two adults and three children, and their bill was $40.50. The Wong family has three adults and one child. Their bill was $38. Write a system of equations to determine the price for an adult and for a child? real life scenarios
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Jeopardy 2x + 3y = 40.50 3x + y = 38 real life scenarios
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Jeopardy Suppose your community center sells a total of 292 tickets for a basketball game. An adult ticket costs $3 and a student ticket costs $1. The sponsors collect $470 in total ticket sales. Write a system of equations to determine how many adult and student tickets were sold? real life scenarios
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Jeopardy 3a + s = 470 a + s = 292 real life scenarios
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Jeopardy real life scenarios Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Bill buys 10 hours of physical training. Determine which health club plan would cost less for Bill.
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Jeopardy real life scenarios
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Jeopardy real life scenarios Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Identify the hours of physical training when both plans cost an equal amount.
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Jeopardy real life scenarios
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Jeopardy real life scenarios Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Describe which plan costs less with respect to hours of physical training.
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Jeopardy real life scenarios
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Jeopardy Complete the following statements: 1. A system of two linear equations has no solution if … 2. A system of two linear equations has infinitely many solutions if … 3. A system of two linear equations has exactly one solution if …
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1.The equations have different y-intercepts and the same slope (parallel lines) 2.The equations have the same y-intercept and the same slope (same lines) 3.The equations have different slopes and the same or different y-intercepts (intersecting lines) Jeopardy
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