Algebra 2 Class 1:
Systems of Equations
Sienna Choi & Hailey Peck
7/16
Class Outline:
To the right is the syllabus. This class will cover most topics taught in Algebra 2 H1 taught in school.
What you should have:
Google Classroom: v3runymx
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7/16 | Systems of Equations |
7/23 | Polynomial and Rational Functions |
7/30 | Exponential and Logarithmic Functions |
8/6 | Complex Numbers |
8/13 | Sequences and Series |
8/20 | Trigonometry |
Learn to solve the solution to a system of equations using elimination, substitution, and graphing.
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Objective:
Date
System of Equations: A set of 2 or more equations with the same variables that are solved for at the same time
Ex. y=9x-3; y=8x+5
It can be solved in 3 ways:
It will have 3 different type of outcomes (linear speaking):
Rule of thumb: If there are X amount of variables, it must have at least X amount of equations. If this is not true, then the system of equations is unsolvable (doesn’t mean it doesn’t have a solution).
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Solving by Elimination
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5x+3y=8
-5x+3y=4
3x+8y=1
x+4y=8
4x-8y=12
3x+4y=4
2x+3y=13
2x+y=7
3x+3y=18
5x+3y=28
5x+y=17
8x-2y=2
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Solving by Substitution
Date
01
02
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y=9
y=x-3
2y=4x-6
y=-3x+7
y=8x+13
y=15x+83
-7x-2y=-13
x-2y=11
y=9x-9
y=9
x-2y=-13
4x+2y=18
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Solving by Graphing
Date
01
02
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y=5
y=x-3
y=12x-9
y=-3x+10
y=8x^2+25
y=5x+8
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Systems of inequalities: Graphing
Graph the inequalities like if it were equations:
3y+6≤2x
2y-15>x
The intersecting parts is your solution.
Systems of inequalities: Algebraically
3y+6≤2x
2y-15>x
You would combine the two inequalities after isolating y to the left:
y≤2x/3-2
y>x/2+15/2
So we get
x/2+15/2<y≤2x/3-2
Homework is posted on Google Classroom!
Questions? Email us at:
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Thank you!