Systems of Linear Equations

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Systems of Linear Equations
Objectives
Questions
Credits

• By Dylan Nicoletti
• Summit High School

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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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Questions
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3
1
4
5
Solving by Graphing
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7
8
9
10
Solving by Substitution
Solving by Elimination
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11
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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

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Thats Correct!
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Sorry, thats not correct!
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Graph the system of equations and select the
ordered pair that represents the systems
solution.

• ( 2 , 8 )
• ( -2 , 8 )
• ( 2 , -8 )
• ( -2 , -8 )

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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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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.

• 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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7) Solve the following system using substitution.

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

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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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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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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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12) Solve the following system using elimination.

• ( 8 , 2 )
• ( 8 , 4 )
• ( 8 , 6 )
• ( 8 , 8 )

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13) Tell whether the system has one solution,
nosolution , or infinitely many solutions.

• No Solutions
• Infinitely Many
• One
• Sometimes it has none

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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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