Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan...

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Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Systems of Linear Equations Equations By Dylan Nicoletti By Dylan Nicoletti Summit High School Summit High School Objectives Questions Credits

Transcript of Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan...

Page 1: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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.

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

Page 3: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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.

Page 4: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 5: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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.

That’s Correct!

Question Page

Page 7: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

Sorry, that’s not correct!

Question Page

Page 8: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 9: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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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Page 10: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 11: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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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Page 12: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

5) Linear equations with different slopes _________ have one solution.

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• Never• Sometimes• Always• It depends on the coefficients

Page 13: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

6) Solve the following system using substitution.

• ( 0 , 2 )• ( 2 , 2 )• ( -2 , 0 )• ( 2 , 0 )

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2

42

yx

xy

Page 14: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

7) Solve the following system using substitution.

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• ( 2 , 0 )• ( 0 , 2 )• ( -2 , 0 )• ( 0 , 0 )

2

22

yx

yx

Page 15: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 16: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 17: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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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Page 18: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

11) Solve the following system using elimination.

• ( 4 , -5 )• ( 4 , 5 )• ( 2 , -3 )• ( -3 , 2 )

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9

1

yx

yx

Page 19: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

12) Solve the following system using elimination.

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• ( 8 , 2 )

• ( 8 , 4 )

• ( 8 , 6 )

• ( 8 , 8 )

3623

275

yx

yx

Page 20: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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

Page 21: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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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Page 22: Adapted from the Traveling Book Seller, Drew Polly, 2006 Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits.

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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