Solve by Graphing
Solve by Substitution
Solve by Elimination
Number of Solutions
Systems Trivia
Ms.Zhou Trivia
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
100
Solve the systems of equations using Elimination:
-x - 5y = 4
x + 7y = -8
(6, -2)
100
How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?
Zero Solutions
100
What is the slope of this equation?
y = -1/2 x +7
-1/2
100
What is Ms. Zhou's favorite color?
Blue/Red
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
200
Solve the systems of equations using Elimination:
2x - 3y = 9
-2x + y = -2
(-1, -4)
200
How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?
Infinite Solutions
200
In the form y = mx + b
What do m and b represent?
m = slope
b = y-intercept
200
What is Ms Zhou's favorite animated movie?
Treasure Island
Paprika
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions
300
What is the y-intercept of this equation?
y = 6x +5
(0,5)
300
What is one of Ms. Zhou's favorite hobbies?
Traveling
Watching films
Teaching
400
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 3
(3,2)
400
Solve the systems of equations using substitution:
2x - y = 6
x = y + 5
(1, -4)
400
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
400
What is true of lines with no solution?
They are parallel
-or-
They have the same slope, but different y intercepts
400
Who is Ms. Zhou's favoriate student?
Me (Everyone is her favoriate)
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
-8x + 6y = -22
(2, -1)
500
How many solutions does the system have?
-6y + 2 = -4x
y - 2 = x
Different slopes
One solution
y=2/3x+1/3
y=x+2
500
What does it mean if a system of equations has infinite solutions?
They are the same line
-or-
They have the same slope, but same y intercepts
500
Do we have a formative today?
Yes