Unit 6: Systems of Equations...Unit 6 Day 1 Graphing Systems of Equations.notebook 1 December 05,...
Transcript of Unit 6: Systems of Equations...Unit 6 Day 1 Graphing Systems of Equations.notebook 1 December 05,...
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Dec 54:50 PM
Foundations in Algebra
Mrs. Hall
December 5, 2019
Check out a Chromebook and get started on Aleks.
Dec 54:57 PM
Unit 6: Systems of Equations
You may clean out your math folder! We are starting a new unit today.
(Fold back the page to separate your units.)
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Dec 54:59 PM
Graphing Systems of Equations
EQ: How can you solve systems of equations by graphing?
My phone breaks and I find two places that can fix it. According to one plan, the repair will cost $50 plus $10 per hour. Another plan is $75 plus $5 per hour. Which plan should I choose? When are they the same cost?
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Systems of Equations
The solution to a system is the point where the equations intersect.
6x 9y = 15
x y = 4
Is (9, 5) a solution?
Is (7, 3) a solution?
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Classifying Systems of Equations
Consistent Inconsistenthas at least one solution no solution
Independent Dependenthas exactly one solution
has infinite solutions
Consistent Independent
Inconsistent ConsistentDependent
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Solve by Graphing
y = 3x 2
x + 3y = 4Steps:
1. Write both equations in slopeintercept form (y = mx + b)
2. Graph both equations. Put yintercept on first then count rise over run.
3. Write the ordered pair where the two lines intersect.
4. Classify what type.
Solve by Graphing
y = 3x 2
x + 3y = 4
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Solve by Graphing
x + 4y = 20
6x 4y = 8
Solve by Graphing
4x 3y = 9
8x 6y = 12
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Solve by Graphing
y = 2
4x 2y = 8
Solve by Graphing
2x y = 3
2x + y = 1
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Solve by Graphing
y = 3x + 2
9x + 3y = 6
Dec 55:39 PM
Let's practice on our graphing calculators.
Unit 6 Day 1 Graphing Systems of Equations.notebook
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December 05, 2019
Dec 612:13 PM
No Homework Thursday!