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Mastering Two-Step Equations: Solving Techniques and Practical Applications

In this section, we focus on solving two-step equations effectively. You'll learn to combine like terms and use the techniques of undoing addition/subtraction and multiplication/division to isolate the variable. Practice examples including equations with negative coefficients and real-life scenarios will solidify your understanding. For instance, how many weeks will it take Lynne to save $900 if she saves $45 weekly? Solve equations like 4p + 19 = 63 to determine the price of begonias purchased. Complete in-class exercises and homework to reinforce your skills.

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Mastering Two-Step Equations: Solving Techniques and Practical Applications

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Presentation Transcript

  1. Questions

  2. Solving Two-Step Equations Section 7.1

  3. Learning targets • To solve two-step equations • To use two-step equations to solve problems

  4. Rules • Combine Like Terms on Either Side of the Equation • Undo the addition/subtraction • Undo the multiplication/divison Get the variable by itself.

  5. Example • Solve 3n − 6 = 15

  6. Practice

  7. Negative Coefficients • 5 − x = 17

  8. Practice • Solve –a + 6 = 8. • Solve13 – 6f = 31

  9. Example • Lynne wants to save $900 to go to Puerto Rico. She saves $45 each week and now has $180. To find how many more weeks w it will take to have $900, solve 180 + 45w = 900.

  10. Practice • Jacob bought four begonias in 6-in. pots and a $19 fern at a fundraiser. He spent a total of $63. Solve the equation 4p + 19 = 63 to find the price p of each begonia.

  11. In – Class Practice • Practice 7.1

  12. In-Class Answers

  13. Homework • Pg. 350 (4-25)

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