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How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?

In laser tag you get negative one third of a point every time you shoot a member of your own team. If a team has a total score of negative seven what is the number of times they could have shot their own members?

Summary

  1. 'n' is the variable that represents the number of times your team shot its own team mates
  2. Now we have an inequality involving our variable 'n'
  3. If you multiply one side by -3, you have to multiply the other side with -3 too!
  4. Multiplying by a negative number flips the inequality symbol
  5. 'n' is the number of times a team mate is shot, so write that down for the units

Notes

    1. 'n' is the variable that represents the number of times your team shot its own team mates
    1. Negative one third can be written as -1/3
    1. Negative one third of a point for every 'n'
    2. 'n' is the variable that represents the number of times your team shot its own team mates
    3. This expression is the team's negative score
    1. This is the first step to realizing that we need an inequality
    1. The final score of -7 must include both the positive scores and the negative scores
    1. 'n' is the variable that represents the number of times your team shot its own team mates
    1. We have to multiply both sides by -3 because of the multiplication property of inequality
    1. 'n' is the variable that represents the number of times your team shot its own team mates
    2. Multiplying both sides by -3
    3. Gives us 'n' on the left side, and 21 on the right side
    1. What was in the equation becomes
    1. 'n' has units, so don't forget to write those down!