| Introducing to Systems of Linear Equations | Solving systems of linear equations algebraic using methods methods | Real World Problems Systems of Linear Equations | Solving Systems of Linear Equations by Graphing | Inconsistent and dependent systems of linear equations |
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What is unique solution?
The single set of values that satisfies a system of linear equations.
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What is a common term?
The same term that appears more than once in a system of equations.
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What is Standard Form( of a linear equation)?
A linear equation in the form ax+by=c.
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What is graphical method?
A method in which equations are graphed to find the point (or points) of intersection.
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What is inconsistent system of equations?
A system of equations with no solution.
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What does a unique solution look like?
3x+5y=8. 4x+3y=7
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What is the elimination method?
A method for solving a system of equations in which equations are added or subtracted to eliminate one variable
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What is an example of a linear equation written in standard form?
2x+4y=3 is and example of a linear equation written in standard form.
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What is point of intersection?
A point where two (or more) graphs meet each other and whose coordinates are the solution to a system of equations.
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What is dependent system of equations?
A system of equations with an infinite number of solutions.
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How many equations do you need to use to solve an equation with 2 variables?
2
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What is the subsutution method?
A method for solving a system of equations in which one variable is expressed in terms of the other to eliminate one variable
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Answer the equation (w+4)+w=26
2w+4-4=26-4
2w=22 2wdivided by 2=22divided by 2 w=11 |
What can you use the graphical method for?
Solve systems of linear equations
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Make a table of values for the equation.
2x+y=1
X 0 1 2
Y 1 -1 -3 |
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2x+y=5
x-y=-2
x=1, y=3
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Solve using elimination method.
2j+k=6 j-k=8
j=14/3, k= -10/3
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What type of problems do you solve, using systems of linear equations?
Real-world
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Solve using graphical method.
x=2y y=x+2
x=-4, y=1.5
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Make a table of values for the equation.
4x+2y=4
X 0 1 2
Y 2 0 -2 |
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3x+2y=10
5x-2y=6
x=2, y=2
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Solve using subsutution method.
2h+3k=13 h=2k-4
h=2, k=3
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George paid $2.75 for 4 granola bars and 1 apple. Addison paid $2.25 for 2 granola bars and 3 apples. Find the cost of each granola bar and each apple.
Granola bar: $0.60
Apple: $0.35 |
Solve using graphical method.
x=2 y=2x-8
x=2, y=-4
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Make a table of values for the equation.
-3x+2y=2
X 0 1 2
Y 1 2.5 4 |
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