Kansas Algebra Program

Unit One - Foundations

1. Use the distance formula to find both exact and approximate values for distance when given the coordinates of two points.
2. Find the coordinates of points at a given distance from a given point.
3. Use the midpoint formula relationship to find the coordinates of the midpoint for two given points.
4. Graph equations by finding intercepts and plotting points.
5. Find the missing coordinate to fit the graph of a given equation when given either the x or y coordinate.
6. Write the equation of a line given two points.
7. Write the equation of a line parallel or perpendicular to a given line through a given point.
8. Write the equations of horizontal or vertical lines.
9. Given the general form of the equation of a circle, use the technique of completing the square to find the center and radius.
10. Given an equation for a line or a circle, be able to sketch the graph.
11. Solve a system of linear or non-linear equations in two variables by substitution or elimination.
12. Define variables and use systems of linear equations to solve application problems.
13. Use matrix row operations to solve systems of linear equations.