Equations

A linear equation is an equation that gives a straight line when plotted on a graph.

  • Standard Form

 Ax + By = C

where x and y are variables and A, B, and C are integers

  • Slope-Intercept Form

y = mx + b

where m is the slope of the line and b is its y-intercept.

  • Point-Slope Form

y − y1 = m(x − x1)

where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line.

All the forms of a linear equation are equivalent.

If the highest exponent of the variables of an equation is 1, then the given equation is called a first-degree equation. Example: Y = 2X + 5

The graph of an equation of the first degree is a straight line.

A linear equation can be either proportional or non-proportional.

A proportional relationship is a linear equation with slope m that goes through the origin (0,0).    The constant b = 0 in the slope-intercept form.

y= mx

 

 

Solving One-Step Equations

 

AL03       Solving Equations (form ax + b = c ) 1

AL05       Solving Equations (form ax + b = c ) 2

AL06       Solving Equations (form ax + b = c ) 3

AL07       Solving Equations (form ax + b = c ) 4

AL14       Solving Equations (form ax + b = c ) 5

AL04       Solving Equations (form ax + b = c ) including negative values

AL16       Solving Equations by Addition and Subtraction 1

AL18       Solving Equations by Addition and Subtraction 2

 

AL08       Solving Equations with Variables on Both Sides 1

EQ01       Solving Equations with Variables on Both Sides 2

EQ02       Solving Equations with Variables on Both Sides 3

EQ03      Solving Equations with Variables on Both Sides 4

EQ04     Solving Equations with Variables on Both Sides 5

EQ05     Solving Equations with Variables on Both Sides 6

EQ06      Find_Slope

EQ07      Slope 2 point

EQ08      Slope

EQ09      Slope2

EQ10      K_From_Equation

EQ11      K_From_Chart

EQ12      K_From_Table

EQ13      K_Tables