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Solving Systems of Linear Equations in Three Variables Using Determinants

Instructions:

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

question 1 of 3

How many determinants do you need to find in order to solve a linear system in three variables using Cramer's rule?

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1.

In this system of equations, which numbers are your constant numbers?

x + 3y - 2z = 18

2x - y - z = -7

4x - 2y + z = -8

2. Which column do you replace in the coefficient matrix if you want to solve for the y solution?

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About This Quiz & Worksheet

This quiz and attached worksheet will help gauge your understanding of using determinants with systems of linear equations in three variables. Topics you will need to know to pass the quiz include Cramer's rule and constant numbers.

Quiz & Worksheet Goals

Use these assessment tools to measure your knowledge of:

  • Identify number of determinants needed to be found to solve a linear system with Cramer's rule
  • Identify constant numbers in a given system of equations
  • Replacing columns in the coefficient matrix
  • Identify determinant of the coefficient matrix for a particular linear system

Skills practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about using determinants with systems of linear equations in three variables in a different light
  • Problem solving - use acquired knowledge on how to use determinants with systems of linear equations in three variables practice problems
  • Interpreting information - verify that you can read information regarding Cramer's rule and interpret it correctly

Additional Learning

To learn more about using determinants with systems of linear equations in three variables, review the lesson Solving Systems of Linear Equations in Three Variables Using Determinants which covers the following objectives:

  • Understanding the concept of using the system of linear equations in three variables
  • Define Cramer's rule
  • Finding determinants
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