Graphing
Substitution
Elimination
Key Ideas
Random
100
What is the slope ("m") and y-intercept ("b") of the following equation?
y=3x-2
the slope is 3 and the y-intercept is -2
100
When solving a system of equations using substitution, what's the first thing you need to look for?
An isolated variable.
Example: "x =" or "y ="
100
Find the value of x.
x=-10
100
What are the 3 methods of solving systems of equations?
Graphing / Elimination / Substitution
100
What do we call more than one equation to be solved at the same time?
System of Equations
200
When graphically solving a system of equations, what represents your final answer?
The point of intersection
200
Find the value of x.
x=3
200
Find the value of y.
y=-6
200
True or false: I can use any method (graphing, substitution, or elimination) to solve any system of equations.
True
200
How many solutions does a graph with parallel lines have?
No Solutions
300
What is the solution to this system of equations? State your answer as an ordered pair.
(3,-2)
300
Find the value of x.
x=1
300
Find the value of y.
y=2
300
The goal of solving a system of equations is to...
find the values of ALL variables.
300
How many solutions does a graph with coincident (same) lines have?
BONUS :
GIVE AN EXAMPLE OF HOW WE DECIPHER THIS AMOUNT OF SOLUTIONS ALGEBRAICALLY
___ = ___
Infinite (Many) Solutions
Ex : 3 = 3
400
Graphically solve this system of equations. State your final answer as an ordered pair.
(-3,-6)
400
Solve the system of equations using substitution. State your final answer as an ordered pair.
(1,-2)
400
Solve the system of equations using elimination. State your final answer as an ordered pair.
(1,2)
400
What should happen if a point is a solution to a system?
(What does that mean graphically / algebraically?)
Graphically : the intersection point
Algebraically : the point satisfies both equations (when plugged in it is true)
400
Solve the system of equations :
y - 3x = 3
y = 3x - 2
No Solution
500
Graphically solve this system of equations. State your final answer as an ordered pair.
(1,5)
500
Solve the system of equations using substitution. State your final answer as an ordered pair.
(-6,-9)
500
Solve the system of equations using elimination. State your final answer as an ordered pair.
(-1,-1)
500
If you graphically solved a system of equations and found there was no solution, what could you conclude about the two lines?
The lines are parallel.
500
Solve the system :
x - 2y = 6
-4x + 8y = -24
Infinite (Many) Solutions