Linear Dependence & Independence: Definition & Examples

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Which of these will ALWAYS be true if a system of linear equations is independent?

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1. If two lines have the same slope but are not the same line, then _____.

2. If a system of two linear equations contains 2x = y - 3 and x = 2y + 2, this system will be _____.

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About This Quiz & Worksheet

See how much you know about linear dependence and independence with the worksheet/quiz presented here. For the quiz you'll be tested on areas like a true statement about an independent system of linear equations and two lines with the same slope.

Quiz & Worksheet Goals

The quiz and worksheet will test what you know about:

  • A system of two linear equations
  • Two lines in a given system
  • Solving for y and/or graph the two lines in a given equation

Skills Practiced

  • Information recall - access the knowledge you've gained regarding two lines with the same slope
  • Problem solving - use acquired knowledge to solve linear dependence and independence practice problems
  • Reading comprehension - ensure that you draw the most important information from the related lesson on linear dependence and independence

Additional Learning

To learn more about this particular area of study, feel free to review the lesson entitled Linear Dependence & Independence: Definition & Examples. Use the following as a guide to help you study:

  • How to test equations for linear dependence or independence
  • Using the same concept to test word problems
  • Graphing lines and slopes
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