Linear Equations in Two Variables Practice

Determine if an Ordered Pair is a Solution:

1. An ordered pair is of the form: (x, y)
2. Plug in the first component (leftmost value) for x in the equation
3. Plug in the second component (rightmost value) for y in the equation
4. Evaluate and determine if the equation results in a true statement
   • Left and right sides must be the same value

Complete an Ordered Pair:

1. Plug in for the known variable
2. Solve for the unknown variable
3. Check the ordered pair, determine if the equation results in a true statement
   • Left and right sides must be the same value

Finding the Coordinates of an Ordered Pair:

1. The x-axis is the horizontal axis
2. The y-axis is the vertical axis
3. An ordered pair (point) has coordinates (x, y)
   • The x-coordinate is the location on the x-axis
   • The y-coordinate is the location on the y-axis

Determine the Quadrant of an Ordered Pair:

1. Quadrant I: (+, +)
   • x-values are positive
   • y-values are positive
2. Quadrant II: (-, +)
   • x-values are negative
   • y-values are positive
3. Quadrant III: (-, -)
   • x-values are negative
   • y-values are negative
4. Quadrant IV: (+, -)
   • x-values are positive
   • y-values are negative
5. Points on the axes are not in any quadrant

Step-by-Step: