Identifying Solutions
Solving by Graphing
Solving by Substitution
Solving By Elimination
Vocabulary
100
What are the steps to identify a solution to a system?
Plug the ordered pair into the equations, if the ordered pair works for both equations then the ordered pair is a solution to the systems.
100
Find the solution to the System of Equations
(1,3)
100
Solve by substitution.
y= 12-3x
y=2x-3
(3,3)
100
Solve the following system by elimination
x+3y=-7
-x+2y=-8
(2,-3)
100
Multiple Equations
What is a system of equations?
200
Is the following ordered pair a solution to the given equations? (7,8) 7x+3y=24 3x+5y=14
No.
200
Find the solution for the following equations. y=x-1 y=2x+2
Answer: 
200
Solve the following equations by substitution.
3x-2y=-3
y=7-4x
(1,3)
200
Solve the Following system by elimination.
-2x-6y=8
2x-4y=32
(8,-4)
200
A Ratio of Rise to Run
What is slope?
300
Is the following ordered pair a solution to the equations? 15x+27y=48 5x+9y=16 (1.4,1) Bonus: 300 points How many solution(s) do the above equations have?
Yes Bonus Answer: Infinitely many solutions
300
What is the solution to the following equations? Draw a graph. -5/3x+3=y 1/3x-3=y
(3,-2)
300
Solve the equations using substitution
4y-2x=-2
x=-3y - 4
(-1,-1)
300
Solve the systems of equation using elimination. -10x+y=0
-10x-6y=14
*You will get a decimal*
(-0.2,-2)
300
y=mx + b
What is Slope-Intercept Form?
400
Is the ordered pair a solution to the system? (1,3) 2x - 3y = -7 -5x + 3y = 4
Yes
400
Given the graph and the solution write the corrrect equations. Solution: (-2,1)
y=1/2x=2, y=2x-3
400
Find the solution of the equations by substitution. 3y+6x=9
y = x
(1,1)
400
Solve using elimination
5x - 7y = - 18
5x + 11y = -126
(-12,-6)
400
All the x-values (inputs)
What is domain?
500
identify the system of equations:
3x + 2y = 7
-4x - 3y = 10
no solutions
one solution
many solutions?
What is one solution
500
Based on the 2 equations given can you determine a solution? If yes, what is the solution? If not, what makes the lines not have a solution?
y=2x-4
y=2x+1
The Lines are parallel so there is no solution. The graph looks like this -->
If you get all the questions correct then you get 1000 points. If you got 2 of the 3 questions correct then you get 500. If you got 0-1 questions wrong do not add any points.
500
solve by substitution
3x - 2y = 13
x = y + 5
(3,-2)
500
Solve the system of equations using elimination.
-4x + 5y = -21
8x + 5y = 27
(4, -1)
500
Lines that have the same slope.
What is parallel Lines?