How to Graph
What is the 'y-intercept' of the line
y = 14x + 16
If two lines are parallel, how many solutions are there?
Infinite
This symbol means ____
≥
Greater than or equal to
Systems of inequalities are only solved by
a) Graphing
b) Substitution
c) Elimination
A
What is the slope of the line
y = (-5/6)x +4
-5/6
Which method of solving systems involves isolating a variable, and then 'plugging in' the value.
Substitution method
Which is a true statement
a) 5 < 6
b) -10 > -3
c) 4 > 17
d) 4 = 13
A
For each equation in the system will the shading be up or down?
Equation 1: y < 6
Equation 2: y ≥ (-1/7)x - 13
Eq.1: Down
Eq.2: Up
What is the slope of the line
-9x + 3y = 18
3
Will the following system have: One solution, no solutions, or infinite solutions?
2y = 12x +2
y = 6x + 10
No Solutions
Solving an inequality is just like solving an equation except for when you multiply or divide by a ______ you must _______.
Negative
Flip the Sign
The solution to any systems of inequalities is in the _____ shaded region.
Double
Consider the equation y = 8x - 3.
Complete the table
x y
0
5
y = -3
x = 1
Solve the system using any method
x = 6
y = 2x + 13
(6, 25)
An inequality will be graphed with a solid line if the symbol is ______ or ______.
Greater than or equal to
or
Less than or equal to
Which point is a solution to the system
x + y < 4
x < 2y
a) (0,0)
b) (1,3)
c) (5, 3)
C
Is the following a linear equation?
y = (1/7x) -9
No
Solve the system using whatever method.
3x + 4y =12
y = (-3/2)x
(-4, 6)
Which inequalities will have the graph shaded above?
a) y > 13x + 4
b) y < 5x - 6
c) y < 4x + 6
d) y ≥ (4/7)x -4
A and D
Which point is a solution to the system?
2y < (-1/2)x + 7
y > 6x
x > -4
a) (4,4)
b)( -2,-2)
c) (5, 3)