Linear Equations and Inequality Algebra

A method to solve a system. One equation is solved for one of the variables then the expression for that variable is substituted into the other equation

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

y = mx + b

m = slope

b = y-intercept

• Slope Intercept Form

• Point-Slope Form

• Standard Form

• Equation for Slope

the point where the graph intersects the y-axis

• piecewise defined function

• linear inequality

• y-intercept

• x-intercept

• system of linear equations

an inequality in the form Ax + By (> , < , ≤ , ≥) C where A, B, and C are constants and A and B are not both zero.

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

an ordered pair (x, y) that makes the inequality true

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

a line that separates the coordinate lane into two regions

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

two or more linear equations with the same variables

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

A method to solve a system. Two equations are combined to eliminate one variable.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Lines that occupy the same location, pass through the same set of ordered pairs and intersect infinitely many times.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Lines that do not intersect.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form