Solving One-Step Equations | Expressions & Equations | Grade 6

Math is Simple!・2 minutes read

When solving one-step equations with addition, it is essential to add the same number to both sides to maintain balance, as shown in examples like m - 5 = 9 becoming m = 14. Similarly, in cases like b + 12 = 17, adding 12 to both sides using the addition property of equality results in b = 29, a method verified by substituting the value back into the equation for accuracy.

Insights

  • Adding the same number to both sides of an equation when using the addition property of equality maintains balance and simplifies solving one-step equations, as demonstrated by the examples with variables like m and b.
  • Verifying solutions by substituting the found value back into the original equation is a crucial step in ensuring accuracy and validating the solution, exemplified by the process of confirming b = 29 in the equation b + 12 = 17.

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Recent questions

  • How do you solve one-step equations?

    By adding the same number to both sides.

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Summary

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Balancing Equations with Addition Property of Equality

  • When solving one-step equations using the addition property of equality, it is crucial to add the same number to both sides of the equation to maintain balance. For example, in the equation m - 5 = 9, adding 5 to both sides results in m = 14, showcasing the simplicity of this method.
  • In another example, when dealing with a variable and a constant in reverse order, such as b + 12 = 17, applying the addition property of equality involves adding 12 to both sides. This process leads to the solution b = 29, which can be verified by substituting the value back into the equation to ensure accuracy.
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