Mr. Guesto
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    • Overview (8th Math)
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    • HOMEWORK
    • EOC Review
    • 1: The Basics
    • 2: Solving Eqn's
    • 3: Linear Functions
    • 4: Representations
    • 5: 10 Features
    • 6: Avg. Rate of Change
    • 7: Systems (Eq'ns)
    • 8: Systems (Ineq)
    • 9: Lin. vs. Exp.
    • 10: Exponentials
    • 11: Sequences
    • 12: Transformations
    • 13: Transversals
    • 14: Proofs
    • 15: Data Analysis
    • 16: Scatterplots
  • 8th Math
    • FUTURE CONTENT >
      • 1: The Basics
      • 2: Rational vs. Irrational
      • 3: Squares and Cubes
      • 4: Input and Output
      • 5: Similar Triangles
      • 6: Representations
      • 7: Linear vs. Non
      • 8: Solving Equations
      • 9: Number of Solutions
      • 10: Systems
      • 11: Exponents and Roots
      • 12: Scientific Notation
      • 13: Transversals
      • 14: Transformations
      • 15: Pythagorean Theorem
      • 16: Distance of a Line
      • 17: 3D Volume
      • 18: Scatterplots
      • 19: Lines of Best FIt
      • 20: Compound Prob.
      • TBD Slope
      • TBD Congruence
      • REVIEW
  • 8th Science
  • Math Dept.
    • Google Drive
    • Standards & YAG
    • Book Reviews
    • Journals

Page 10
​Systems of Equations

Q2 Question Banks

BANK_solving_solutions.pdf
File Size: 147 kb
File Type: pdf
Download File

BANK_systems.pdf
File Size: 710 kb
File Type: pdf
Download File


Stacking Cups (101Qs) & Oreos (Desmos)

VIDEO: Stacking Cups, Act 1

Teacher View: Oreos (Desmos)

Find the solution by looking at graphs

This is probably the easiest topic we'll cover all year! :-)
When a system of equations is graphed, the solution is the point where the two lines intersect.
That's literally it.
Picture
Picture
Number your paper from 1 to 18. Every answer should be in the form (x,y).
systems_graphs_setof18.pdf
File Size: 1132 kb
File Type: pdf
Download File

Keep in mind...there are some special cases when the lines don't intersect at exactly one point...
Picture

Is the given value a solution?


Solve a system by substitution (with an isolated variable)

Click HERE to check out Cool Math's description of solving systems by substitution. Their explanations are REALLY good, and they color code! :-)
*** Start at 1:39 and watch until 3:25

Solve a system by substitution AKA f(x) = g(x) or Eq1 = Eq2

*** Start at 2:13
fxgx.pdf
File Size: 47 kb
File Type: pdf
Download File


Solve a system by elimination

We call it "elimination"...they call it "linear combination"...same thing!

Elimination: Practice Problems (With Answers!)

Only focus on Problems 1-16. The solutions are on the 3rd and 4th pages.
     # 1-4 will cancel as is, no transformations are needed.
     # 5-8  require a flip the signs transformation
     # 9-16 require a complete transformation, either positive or negative
systems_elimination_ans.pdf
File Size: 31 kb
File Type: pdf
Download File

Worked-Through Examples

Picture
Picture
Picture

Find the solution by looking at graphs


Games

• Click HERE to play a balancing act game.

• Click HERE to play a Jeopardy-style game (1-player or 2-player).

• Click HERE to play Hoop Shot, a basketball game (1-player or 2-player).

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  • Home
  • '17 - '18
    • About Me
    • Calendar
    • Antioch High FAQ
    • Top 10 Project
    • Projects
    • Morning Meetings
    • Overview (Integrated)
    • Overview (8th Math)
  • Integrated Math
    • HOMEWORK
    • EOC Review
    • 1: The Basics
    • 2: Solving Eqn's
    • 3: Linear Functions
    • 4: Representations
    • 5: 10 Features
    • 6: Avg. Rate of Change
    • 7: Systems (Eq'ns)
    • 8: Systems (Ineq)
    • 9: Lin. vs. Exp.
    • 10: Exponentials
    • 11: Sequences
    • 12: Transformations
    • 13: Transversals
    • 14: Proofs
    • 15: Data Analysis
    • 16: Scatterplots
  • 8th Math
    • FUTURE CONTENT >
      • 1: The Basics
      • 2: Rational vs. Irrational
      • 3: Squares and Cubes
      • 4: Input and Output
      • 5: Similar Triangles
      • 6: Representations
      • 7: Linear vs. Non
      • 8: Solving Equations
      • 9: Number of Solutions
      • 10: Systems
      • 11: Exponents and Roots
      • 12: Scientific Notation
      • 13: Transversals
      • 14: Transformations
      • 15: Pythagorean Theorem
      • 16: Distance of a Line
      • 17: 3D Volume
      • 18: Scatterplots
      • 19: Lines of Best FIt
      • 20: Compound Prob.
      • TBD Slope
      • TBD Congruence
      • REVIEW
  • 8th Science
  • Math Dept.
    • Google Drive
    • Standards & YAG
    • Book Reviews
    • Journals