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System of Equations Word Problems

Now that you studied the examples for solving system of equations word problems, I know you are anxious to try some on your own! So, let's do it!

First, let's review our steps for solving system of equations word problems.


Steps For Solving Real World Problems

  • Highlight the important information in the problem that will help write two equations.

  • Define your variables

  • Write two equations

  • Use one of the methods for solving systems of equations to solve.

  • Check your answers by substituting your ordered pair into the original equations.

  • Answer the questions in the real world problems. Always write your answer in complete sentences!



Practice Problems

Directions: Solve each problem using a system of equations. Click here if you need to refer back to the example problems.




1. An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?

Write a linear system of equations that can be used to solve this problem. Solve.










2. The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a total of 37 two-point and three-point baskets. How many two-point shots did the Lakers make? How many three-point shots did the Lakers make?

Write a linear system of equations that can be used to solve this problem. Solve.





Ready to check your answers?



Answer Key


Problem 1


systems of equations word problems







Problem 2


solving a system of equations word problems




So, how did you do? Now you have a complete understanding of System of Equations! Congratulations!



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