Algebra Chapter 4.1 Systems

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Author:
randycapped
ID:
264223
Filename:
Algebra Chapter 4.1 Systems
Updated:
2014-02-28 16:27:32
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Algebra
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Description:
Consistent and Inconsistent Systems. Parallel, Intersecting and Coinciding Lines.
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  1. A system is ___________ if it has no solution.
    inconsistent
  2. A system is _________ if it has one or more solutions.
    consistent
  3. If the equation in a system of equations represent the same line, then they are _________.
    • dependent
    • ¬†
  4. If the equations represent different lines, then they are _____________.
    independent
  5. Lines with Infinitely Many Solutions are:

    1._________ Lines.
    2. Is the system Consistent or Inconsistent?
    3. Are the lines Dependent or Independent?
    • 1. Coinciding
    • 2. Consistent
    • 3. Dependent
  6. Lines with No Solution are:
    1. _________ Lines.
    2. Is the system Consistent or Inconsistent?
    3. Are the lines Dependent or Independent?
    • 1. Parallel
    • 2. Inconsistent
    • 3. Independent
  7. Lines with One Unique Solution are:
    1. _________ Lines.
    2. Is the system Consistent or Inconsistent?
    3. Are the lines  Dependent or Independent?
    • 1. Intersecting (at one point only).
    • 2. Consistent
    • 3. Independent
  8. How many solutions does a set of parallel lines have?
    None.
  9. How many solutions do a set of intersecting lines with one point of intersection have?
    One unique solution.
  10. How many solutions do coinciding lines have?
    Infinitely many solutions.
  11. If the ________ differ, the lines are different and nonparallel and must cross in exactly one point.
    slopes
  12. If the slopes are the same and the y-intercepts are different, the lines are _______ and will not __________.
    • parallel
    • intersect
  13. If the slopes and y intercepts are the same, the two equations represent the ______ ______ .
    same line
  14. The terms "Consistent" or "Inconsistent" are referring to the ________.
    system
  15. The terms "Dependent" and "Independent" are referring to the __________.
    lines

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