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Solving One-Step Equations with Fractional Coefficients

Learn how to find the value of a variable using single operations like multiplication, subtraction, addition, and division, despite fractional coefficients. Understand the concept of fractional coefficients, representing the unknown variable, also known as the "mystery number." Follow along with pictorial and symbolic representations to solve equations step by step. Practice with examples like determining the value of "h" when one-third of a number is 6.

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Solving One-Step Equations with Fractional Coefficients

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  1. Solving One-Step Equations with Fractional Coefficients

  2. Goal: To find the value of the variable using a single operation Multiplication Subtraction Addition Division

  3. What is a Fractional Coefficient? • Multiplied by the variable in an algebraic expression h

  4. What does this equation mean ? Variable; unknown number; “mystery number” • One-third of the value of some number h is 6. • One-third multiplied by some number h is 6.

  5. Determine the value of the variable h.

  6. We must find the value of… One wholeh

  7. Pictorial Representation

  8. yellow hexagon blue rhombus

  9. 6 6 6 18 • 3 groups the value of 6 each • 3 x 6 = 18

  10. Symbolic Representation

  11. 3 x 6

  12. Pictorial Representation

  13. 3 3 6 6

  14. 3 3

  15. 3 3 • 3 groups the size of of each • 3 groups with a value of 3 each • 3 x 3 = 9

  16. Symbolic Representation

  17. 1h = 9

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