How to evaluate expressions in two variables with decimals and fractions | 6th grade | Khan Academy

Khan Academy2 minutes read

When evaluating expressions with given variables, substitute the values provided and perform the calculations to obtain the final result, such as 6.5 or 8.

Insights

  • Substituting specific values into mathematical expressions allows for the simplification of complex equations into single numerical values, making calculations more manageable and providing clear outcomes.
  • The process of evaluating expressions with variables necessitates a systematic approach of replacing the variables with their assigned values and following through with arithmetic operations until reaching a definitive solution, highlighting the structured nature of mathematical problem-solving.

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Recent questions

  • How do you evaluate expressions with variables?

    By substituting given values and performing calculations.

  • What is the result of 7J + 5 - 8K with J as 0.5 and K as 0.25?

    The result is 6.5 after simplification.

  • How do you simplify 0.1M + 8 - 12N with M as 30 and N as 1/4?

    By replacing M with 30 and N with 1/4, resulting in 8.

  • What is the key step in evaluating expressions with variables?

    Substituting values for variables is crucial.

  • Can you explain the process of simplifying mathematical expressions?

    It involves replacing variables with values and calculating the result.

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Summary

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Evaluating Expressions with Given Variables

  • Evaluating the expression 7J + 5 - 8K, with J as 0.5 and K as 0.25, involves substituting the values for J and K into the expression. This results in 3.5 + 5 - 2, which simplifies to 6.5.
  • Another expression, 0.1M + 8 - 12N, with M as 30 and N as 1/4, requires replacing M with 30 and N with 1/4. This leads to 3 + 8 - 3, simplifying to 8.
  • The process of evaluating expressions with different variables involves substituting the given values for the variables and performing the necessary calculations to determine the final result.
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