Systems of Linear Equations

Tim Brzezinski, Jul 21, 2016

Contains Systems of Linear Equations Applets, Worksheets, Etc...

Table of Contents

  1. Open Middle Qs
    1. Open Middle: Systems of Linear Equations (3)
    2. Open Middle: Systems of Linear Equations (1)
    3. Open Middle: Systems of Linear Equations (4)
    4. Open Middle: Systems of Linear Equations (2)
    5. Open Middle: Systems of Linear Equations (5)
    6. Open Middle: Systems of Linear Equations (6)
  2. Solving Linear Systems Graphically
    1. Is P(x, y) a Solution?
    2. Solving Linear Systems Graphically
    3. Modeling Linear Growth (and Systems Introduction)
    4. Solving Linear Systems by Graphing: Quiz (V1)
    5. Solving Linear Systems by Graphing: REVAMPED
  3. Solving Linear Systems Algebraically
    1. Solving Linear Systems Algebraically: Quiz (V1)
    2. Solving Linear Systems Algebraically: Quiz (V2)
    3. Solving Linear Systems Algebraically: Quiz (V3)

1.

Open Middle Qs

  • 1. Open Middle: Systems of Linear Equations (3)
  • 2. Open Middle: Systems of Linear Equations (1)
  • 3. Open Middle: Systems of Linear Equations (4)
  • 4. Open Middle: Systems of Linear Equations (2)
  • 5. Open Middle: Systems of Linear Equations (5)
  • 6. Open Middle: Systems of Linear Equations (6)

1.1.

Open Middle: Systems of Linear Equations (3)

Your task:
Enter any integer value(s) ranging from -9 to 9 in the boxes below. The LARGE POINT that will appear is moveable. Try to create a setup that works!
Are there any digits you avoided using? If so, which one(s)? And why did you avoid using them?
Create another system of linear equations with its solution that is entirely different form the setup you built above.
– Tim Brzezinski

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Solving Linear Systems Graphically

  • 1. Is P(x, y) a Solution?
  • 2. Solving Linear Systems Graphically
  • 3. Modeling Linear Growth (and Systems Introduction)
  • 4. Solving Linear Systems by Graphing: Quiz (V1)
  • 5. Solving Linear Systems by Graphing: REVAMPED

2.1.

Is P(x, y) a Solution?

Drag the point to various positions (both ON and OFF the line). Pay attention to what you see here. Then, answer the questions that follow.
If a point [math]\left(x,y\right)[/math] LIES on a line with a given equation, what can we conclude?
If a point [math]\left(x,y\right)[/math] DOES NOT LIE on a line with a given equation, what can we conclude?
If we wanted to see whether [math]\left(4,-3\right)[/math] was a solution to the equation [math]3x-5y=27[/math], what would we need to do first?
Is [math]\left(4,-3\right)[/math] a solution to the equation [math]3x-5y=27[/math]?
If we wanted to see whether [math]\left(-3,4\right)[/math] was a solution to the equation [math]3x-5y=-30[/math], what would we need to do first?
Is [math]\left(-3,4\right)[/math] a solution to the equation [math]3x-5y=-30[/math]?
– Tim Brzezinski

2.2.

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2.3.

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2.4.

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2.5.

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3.

Solving Linear Systems Algebraically

  • 1. Solving Linear Systems Algebraically: Quiz (V1)
  • 2. Solving Linear Systems Algebraically: Quiz (V2)
  • 3. Solving Linear Systems Algebraically: Quiz (V3)

3.1.

Solving Linear Systems Algebraically: Quiz (V1)

[b]Directions:[/b][br][br]On a separate sheet of paper, solve the system of linear equations shown in the upper right hand corner of the applet. Once you obtain your solution, move the BIG WHITE POINT (shown in the coordinate plane on the left) to the location of the solution of this system. [br][br][color=#ff7700][b]If you solve this system correctly, the applet will automatically notify you. [/b][/color][br][br][color=#0000ff][i]Generate as many practice problems as you need in order to master this concept! [/i][/color]
– Tim Brzezinski

3.2.

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3.3.

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