Solving Equations: Is my work correct?

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Solving equations and inequalities are essential skills in mathematics. And for many students, practicing is the key to success in solving. As students work on the concept of solving equations/inequalities at home, many think, "How will I know if I’m doing it right?"

One answer is the Practice Solving Series, a collection of math tools that allow students to work through different types of equations while receiving line-by-line feedback on their work. Each tool has a practice mode and a quiz mode. In practice, students can choose from the built-in problem set that varies in type and difficulty or enter a specific problem from their homework set. Students can practice with the Check Work feature on or off.

In quiz mode, students can once again choose from the built-in problem set or enter a specific problem. However, they will not receive line-by-line feedback. Instead their work and correct/incorrect marks are saved to an answer page that can be then be saved, printed, or sent to their teacher.

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The student answer page displays work with line-by-line feedback.

Here are a few examples.

  1. Solving Simple Equations
    With the Solving Simple Equations tool, students practice solving linear equations using the four properties of equality and the Distributive Property.

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    In Practice mode students get immediate feedback.

  2. Solving Quadratic Equations
    Using the Solving Quadratic Equations tool, students practice by factoring, completing the square, using square roots, or using the Quadratic Formula. When solving by factoring, students can use the Split Work Area button to solve each linear factor separately.

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    Splitting the work area allows students to focus on one linear factor at a time.

  3. Solving Linear Systems
    Using the Solving Linear Systems tool, students practice solving linear systems algebraically. Students can determine if the system has no solution, one solution, or many solutions by using elimination or substitution. Students then enter their solutions as ordered pairs, if applicable.

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    Students can manually enter their solution as an ordered pair.

Check out all of the math tools in the Practice Solving Series.

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About Author

Staci Lyon

Staci Lyon is a mathematics curriculum specialist with Curriculum Pathways. She taught high school mathematics for 12 years in Wake County and Granville County. She also taught with North Carolina Virtual Public School. She received both a M.Ed. degree in Instructional Technology and a B. S. degree in Mathematics Education from North Carolina State University. Working alongside a team, she enjoys developing the award winning online math resources for Curriculum Pathways that allow teachers to integrate technology into their classrooms. Outside of work, she enjoys traveling and spending time with family and friends.

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