Algebra Chapter 4.1 Systems

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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

Card Set Information

 Author: randycapped ID: 264223 Filename: Algebra Chapter 4.1 Systems Updated: 2014-02-28 21:27:32 Tags: Algebra Folders: Description: Consistent and Inconsistent Systems. Parallel, Intersecting and Coinciding Lines. Show Answers:

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