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Word Problems using Systems of Equations

A series of free Basic Algebra Lessons from Brightstorm online Algebra series.

 

 

Age Word Problems
Setting up a system of equations is usually effective when solving age word problems involving the ages of two people. Knowing how to solve systems of equations is necessary to solve these types of problems. Other types of word problems involving systems of equations include mixture problems, money word problems, work word problems and rate word problems.

 

 

Sum of Digits
One difficult type of Algebra problem are word problems asking about the sum of digits in a two digit number. Solving systems of equations by substitution is one of the most common ways to solve sum of digits problems. Other types of word problems using systems of equations include mixture problems, money word problems, work word problems and rate word problems.

 

 

Percent Concentration
To solve word problems involving percent concentration amounts, knowledge of solving systems of equations and percents is necessary. Percent concentration word problems involve solving for amounts and concentrations when mixing two liquids with differing percent concentration amounts. Other types of word problems using systems of equations include mixture problems and money word problems.

 

 

Selling Multiple Items
To solve word problems where someone is selling multiple items, a background knowledge of setting up a system of equations is necessary. Problems where someone is selling multiple items are common on standardized tests such as the ACT and the SAT. These types of problems are similar to rate word problems, work word problems and money word problems..

 

 

 

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