Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan...
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Transcript of Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan...
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
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
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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2
Questions
3
14
1 4 5
6 7 8 9 10
11 12 13 15Solving by Elimination
Solving by Substitution
Solving by Graphing
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
That’s Correct!
Question Page
Sorry, that’s not correct!
Question Page
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
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
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
6) Solve the following system using substitution.
• ( 0 , 2 )• ( 2 , 2 )• ( -2 , 0 )• ( 2 , 0 )
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2
42
yx
xy
7) Solve the following system using substitution.
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• ( 2 , 0 )• ( 0 , 2 )• ( -2 , 0 )• ( 0 , 0 )
2
22
yx
yx
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
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
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
12) Solve the following system using elimination.
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• ( 8 , 2 )
• ( 8 , 4 )
• ( 8 , 6 )
• ( 8 , 8 )
3623
275
yx
yx
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
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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