A statement that one quantity is less than or greater than another.
Inequality
Is the point (3,4) a solution to the system of equations?

No, it does not satisfy both equations.
When you solve an inequality, you need to change the direction of the inequality symbol when you
multiply or divide by a negative on both sides.
What inequality matches each graph?
x ≥ -2
Give the slope of a line that is perpendicular to the line below.
y=3-4/3(x-8)
Slope:
3/4
Lines that meet at a 90 degree angle.
Perpendicular Lines
How many solutions does this system of equations have?

Neither
If a system of linear equations has an infinite number of solutions, then the graphs of the equations __________________.
Are the same line
Which point is a solution to the system of inequalities presented below?

(5,5)
(3,-4)
(0,2)
(3,-4)
Which area (color) shows the solution to the system of inequalities?

Purple
A method for solving a system of equations that involves solving one of the equations for one variable and substituting the resulting expression into the other equation.
Substitution Method
Solve the system of equations:
(-1, -1)
Solve the inequality: 700+x ≥ 130-59x
x ≥ -9.5
Which inequality matches the graph?

y ≥ x-2
Which graph matches the inequality:
y< 3/4x - 9/4

iii
Lines with opposite reciprocal slopes
Perpendicular Lines
Solve the system of equations:
(1, 3)
Find the solution to this system of inequalities: ![]()
(4,2)
What is the solution to the system of equations? Be sure to give your answer as a pair of coordinates.
3x-2y=4
2x+y=5
(2,1)
Which graph represents this system of inequalities?:


iii.
A solution to _______________ satisfies both equations.
A system of equations
Write a system of inequalities for the given graph:
x>-1
y ≥ 3
The Creekside Theater is putting on a play. The Hanson family bought five adult tickets and two child tickets for $129.00. The Rivera family bought two adult tickets and six child tickets for $107.50.
How much does an adult ticket cost? How much does a child ticket cost?
Adult tickets: $21.5
Child Tickets $10.75
What is the solution to the system of equations? Be sure to give your answer as a pair of coordinates.
y=-6x+5
y=4x-5
(1,-1)
Is the point (1,0) a solution to the system? Why or why not?

It is not a solution because it does not satisfy both inequalities.