Overview
Solving Systems: Graphing
Solving Systems: Substitution
Solving systems:
Elimination
Elimination
Random
100
What shape will every linear equation create when graphed ?
Straight Line
100
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
aka when the equations are easy to graph.
100
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable ( ex: y=6)
100
2x + 3y = 8
2x + y = 2
x = -0.5
y = 3
100
What is the square root of 81?
9
200
At least how many equations will be in a system of linear equations?
At least 2 equations will be in a system of linear equations.
200
What is the solution to the system of linear equations?
(0,2)
200
What is the solution (x,y) to the system of linear equations?
5x+2=y
x=2
(2,12)
200
5x - 10y = 20
2x + 10y = 15
x = 5
y = 0.5
200
Turn this equation from standard form to slope-intercept form: 6x+2y=24
y=12-3x or y=-3x+12
300
The ___________________ to a system of linear equations is the ____________ where the equations have values for x and y that make both equations true.
solution, point
300
What is the solution to the system of linear equations?
(-1,4)
300
What is the solution to the system?
y=7x-10
y=-3
(1,-3)
300
5x - 13y = -2
-5x + 13y = 5
no solution
300
State the slope and y-intercept: -5x+2.5y=10
m:2
y-intercept: 4
400
How many solutions can a system of linear equations have?
0, 1 or all
400
What is the solution to the system of linear equations?
(2,9)
400
What is the solution to the system?
2x+5y=19
y=3x-3
(2, 3)
400
3x + y = 10
-3x - y = -10
infinity many solutions, any number combination will work.
400
Identify the slope and y-intrcept
y=-4x + 10
slope: -4
y-intercept: 10
500
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y), intersect
500
What is the solution to the system of linear equations?
No solutions
500
What is the solution to the system?
5x-6y=-3
y=3x+7
(-3,-2)
500
9x - 6y = 54
3x + 4y = 36
x = 8
y = 3
500
Turn this fraction into a percentage: 3/4
75%