Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan...
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![Page 1: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.](https://reader035.fdocuments.us/reader035/viewer/2022070323/56649e185503460f94b0489b/html5/thumbnails/1.jpg)
Adapted from the Traveling Book Seller, Drew Polly, 2006
Systems of Linear Systems of Linear EquationsEquations
By Dylan NicolettiBy Dylan NicolettiSummit High SchoolSummit High School
Objectives
Questions
Credits
![Page 2: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.](https://reader035.fdocuments.us/reader035/viewer/2022070323/56649e185503460f94b0489b/html5/thumbnails/2.jpg)
Objectives
– Using appropriate computation methods 1.2.a
– Use multiple forms of linear equations 2.1.b– Represent linear functions using a table,
graph equations, and convert from one form to another 2.1.c
– Solve equations for one variable in terms of another 2.4.c
– Solve systems of linear equations with two and three variables 2.5.c
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Directions
• Use a piece of paper to record all attempts at each problem.
• If you get the wrong answer, look for your mistake and rewrite the problem with your correction so you have a fully written correct response.
• Have fun and remember, you are practicing for a great performance on your upcoming assessment.
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Question Page
2
Questions
3
14
1 4 5
6 7 8 9 10
11 12 13 15Solving by Elimination
Solving by Substitution
Solving by Graphing
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CreditsAll teachers and students at non-profit schools can use, revise, or adapt this game at will at no cost on the condition that all prior designers are
cited.
• Adapted from “The Traveling Georgia Artist” by Lloyd Rieber, The University of Georgia, May 20, 2003
• Adapted from “The Traveling Book Seller” by Drew Polly,
UNC-Charlotte
Question Page
![Page 6: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.](https://reader035.fdocuments.us/reader035/viewer/2022070323/56649e185503460f94b0489b/html5/thumbnails/6.jpg)
That’s Correct!
Question Page
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Sorry, that’s not correct!
Question Page
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1) Graph the system of equations and select the ordered pair that represents the system’s solution.
• ( 2 , 8 )• ( -2 , 8 )• ( 2 , -8 )• ( -2 , -8 )
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23
42
yx
xy
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2) Two linear equations that have the same slope but different y-intercepts will have the following solution.
• None• One• Infinitely Many• Not Enough Information
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3) By analysis or graphing, the following system has how many solutions?
• None• One• Infinitely Many• Two
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824
42
yx
xy
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4) If you wanted to graph a system by graphing the equations in slope-intercept form, what would be your first step?
• Solve Each Equation for x• Solve Each Equation for y• Write Equations in Standard• Find the X-Intercept of Each
Line
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5) Linear equations with different slopes _________ have one solution.
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• Never• Sometimes• Always• It depends on the coefficients
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6) Solve the following system using substitution.
• ( 0 , 2 )• ( 2 , 2 )• ( -2 , 0 )• ( 2 , 0 )
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2
42
yx
xy
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7) Solve the following system using substitution.
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• ( 2 , 0 )• ( 0 , 2 )• ( -2 , 0 )• ( 0 , 0 )
2
22
yx
yx
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8) Find a and b so that ( 2 , 1 ) is a solution the system.
• a = 1 and b = -4• a = -1 and b = -4• a =-1 and b = 4• No solutions
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3
2
axy
byax
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9) In the following system, which equation and what variable would you solve for?
• Equation 1 for y• Equation 1 for x• Equation 2 for x• Equation 2 for y
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43
374
yx
yx
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10) The total number of points you can earn on a math test is 200 points. Your grade is 85% and you answered 42 problems correctly. Each problem is worth either 3 points or 5 points. How many 5-point problems did you answer correctly?
• 22• 29• 30
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11) Solve the following system using elimination.
• ( 4 , -5 )• ( 4 , 5 )• ( 2 , -3 )• ( -3 , 2 )
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9
1
yx
yx
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12) Solve the following system using elimination.
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• ( 8 , 2 )
• ( 8 , 4 )
• ( 8 , 6 )
• ( 8 , 8 )
3623
275
yx
yx
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13) Tell whether the system has one solution, nosolution , or infinitely many solutions.
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• No Solutions• Infinitely Many• One • Sometimes it has none
443
225
yx
yx
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14) A store sells recordable compact discs in packs of 5 for $5 and packs of 10 for $8. You but 45 discs for $37. How many of each type of pack did you buy?
• 1 pack of 5; 4 packs of 10• 8 packs of 5; 1 pack of 10• 3 packs of 5; 3 packs of 10• 4 packs of 5; 1 pack of 10
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15) Your school band is performing a concert. Tickets for the concert cost $3 for students and $5 for adults. A total of 125 people attend the concert. Ticket sales total $475. How many students and adults are at the concert.
• 50 students; 75 adults• 85 students; 40 adults• 75 students; 50 adults
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