Solving by Graphing
Solving by Substitution
Solving by Elimination
Strategies
Miscellaneous Algebra
100
The point of intersection
What is the solution to a system of equations?
100
To replace a variable with an equal value
What is the substitution method?
100
To get rid of a variable
What does elimination mean?
100
How you can see a solution to a system of equations on a graph
What is to look for the point of intersection?
100
Go left/right first, then up/down (using an (x,y) coordinate) 
How do you graph a point?
200
y = mx + b
What is the form an equation must be in to graph it?
200
Solve one equation for one variable
What is the first step of the substitution method?
200
Make sure the equations have a variable that has the same value, opposite sign.
What is the first step of the elimination method?
200
How you can be successful on the upcoming test (be specific!)
What is study by practicing problems?
200
First plot the y-intercept, then use the slope to place another point, then draw the line
How do you graph a line in y = mx+b form?
300
The slope 
What is the m in y = mx + b?
300
The value you'd substitute into the second equation here:

y = 2

x + 2y = 10

 What is 2?
300
The variable would be eliminated in this set of equations:

 6x + 7y = 12

-6x - 9y = 20

What is the x?
300
The easiest way to see if two equations have no solution
What is to graph them?
300
The place where a line crosses the y-axis?
What is the y-intercept?
400
The y - intercept
What is the b in y = mx + b?
400

The value you'd substitute into the first equation here:

2x - y = 8

x= -5

What is -5?
400

The variable would be eliminated in this set of equations:

3x - y = 5

4x + y = -10
What is the y?
400
Solve by a different method
What is a way to check your work?
400
A line that goes straight up and down that has undefined slope
What is a vertical line?
500
The lines are parallel (they never intersect). 
How you know if a system of equations has no solution?
500

The expression you'd substitute into the second equation here:

y = 3x + 2

x + y = -6

What is 3x + 2?
500
Another word or phrase that means elimination?
What is cancel or get rid of?
500

In this set of equations, what you'd have to do first if you wanted to use the elimination method

 2x + y = 4

-4x - 8y = 13

What is multiply the first equation by 2?
500
A line with a slope of 0
What is a horizontal line?
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