Linear Inequalities
Given y > 3x + 1, what's the slope?
3
What is another word/phrase that you could use instead of the word "substitute?"
Plug in!
Solve the system using elimination
-4x - 2y = -12
4x + 8y = -24
(6, -6)
Solve the system by graphing
y = -5/3x + 3
y = 1/3x - 3
(3, -2)
Are the following lines intersecting, parallel, or the same line?
y = 2x + 2
y = 2x - 5
Given y > 3x + 1, what's the y-intercept?
(0, 1)
Solve the following system:
2x + 3y = 8
y = 2
(1, 2)
Solve the system using elimination
-6x + 5y = 1
6x + 4y = -10
(-1,-1)
Solve the system by graphing
y = 4x + 3
y = -x - 2
Are the following lines intersecting, parallel, or the same line?
y = 2x + 2
y = -2x - 5
intersecting
Given y > 3x + 1, would the line be solid or dotted/dashed?
Dotted/Dashed
Solve the following system:
4x + 2y = 8
y = 0
(2, 0)
Solve the system using elimination
8x + y = -16
3x - y = 5
(-1,-8)
Solve the system by graphing
y=-1
y = -5/2x + 4
(2, -1)
Are the following lines intersecting, parallel, or the same line?
y = 2x - 5
-4x + 2y = -10
The same line
Given y > 3x + 1, would you shade above or below?
ABOVE!
Solve the following system using substitution
x + y = 2
y = 1
(1, 1)
Solve the system using elimination
-2x - 9y = -25
-4x - 9y = -23
(-1, 3)
Solve the system by graphing
y = 3x - 4
y = -1/2x + 3
(2,2)
Given y < -1/2 x + 7, What's the slope?
-1/2
For which two inequality symbols would you use a SOLID line?
less than or equal to
AND
Greater than or equal to
Solve the following system using substitution
2x - 3y = -1
y = x - 1
(4, 3)
Solve the system using elimination:
-6x + 6y = 6
-6x + 3y = -12
(5,6)
y = 1/3x - 3
x + y = 1
(3, -2)
Which method (substitution, elimination, or graphing) would work best given the following system?
2x + 3y = 1
2x - 3y = -17
Elimination
Why? Because neither are in SLOPE INTERCEPT form for graphing (y =mx+b)
and because neither is already solved for a variable (which would make substitution easier!)