How Do I Use a System of Equations?


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A car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots, some that cost $3,000 and some that cost $2,000. If the company is sure that it wants to spend all of its money on 16 new robots, how many of each should it purchase?

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1. When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?


Which of the following represents a valid first step to solving this system of equations using the substitution method?

2x - y = 7

x = 2y - 1

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About This Quiz & Worksheet

The quiz will provide you with scenarios involving systems of equations. You will need to translate these word problems into mathematical equations. Then you will need solve for the different values the question asks for. Other questions will just provide you with a straightforward math problem you will need to solve.

Quiz & Worksheet Goals

This assessment will test you on the following topics:

  • Systems of equations
  • Identifying variables
  • Substitution
  • Elimination

Skills Practiced

The quiz will help you practice these skills:

  • Reading comprehension - ensure that you draw the most important information from the related system of equations lesson
  • Making connections - use understanding of the concept of systems of equations
  • Critical thinking - apply relevant concepts to examine information about systems of equations in a different light
  • Interpreting information - verify that you can read information regarding systems of equations and interpret it correctly
  • Information recall - access the knowledge you've gained regarding systems of equations

Additional Learning

Finish the quiz and then head over to the related lesson How Do I Use a System of Equations? The lesson will help you understand more of the subtleties related to systems of equations. The lesson covers these objectives:

  • Defining the number of variables
  • Exploring systems of equations
  • Characterizing the substitution method
  • Describing the elimination method
  • Walking through systems of equations examples