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Mastering Two-Step Equations: Strategies and Examples for Solving Challenges

This resource focuses on effectively solving two-step equations, providing clear strategies and examples. Learn how to operate on both sides of equations, combine like terms, and set variables for real-world problems. With step-by-step instructions, practice equations, and problem-solving scenarios, you will develop a strong foundation in algebra. Topics include solving for variable x, working through word problems, and examples like job wages and repair costs. Perfect for students and learners looking to enhance their math skills!

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Mastering Two-Step Equations: Strategies and Examples for Solving Challenges

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Presentation Transcript

  1. Do Now

  2. Solving two step equations

  3. 3x – 6 = 6 Add 6 to both sides +6 +6 3x = 12 Divide each side by 3 3 3 x = 4

  4. 9z – 12 = 69

  5. On your own • 7y – 11 = 24 -10y + 12 = 52 10y + 2 = -118

  6. 39 = 14d -3

  7. 11 = 12 - q

  8. On your own 6 + y = -1 -8 – y = -15 -10 – y = -1

  9. On Your Own

  10. In some equations you need to combine like terms in each side of the equation before you do any operations on both sides.

  11. Solve a two step equations by combining like terms 7x – 4x = 21

  12. On your own 1. 3x + 7 = 19 2. 2g – 13 = 3 10 = 7 – m 8y + 3y = 44 6.

  13. Kim has a job where she makes $8 per hour plus tips. Yesterday Kim made $53 dollars, $13 of which was from tips. How many hours did she work? • Set x= number of hours • Write an equation and solve

  14. A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took. • Set x = number of classes • Write an equation and solve

  15. Tyler paid $124 to get his car repaired. He was charges $76 for parts and $32 per hour for labor. Find the amount of time it took to repair his car • Set x = number of classes • Write an equation and solve

  16. Fill in the web organizer

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