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Solving Two Step Equations

This guide focuses on solving two-step equations by understanding the operations affecting the variable. It explores examples like (2x + 1 = 5) and how (x) is managed through multiplication and addition. You'll learn to perform opposite operations in reverse order to isolate the variable. The steps include adding or subtracting first, followed by multiplying or dividing. Practice with examples like (-a + 6 = 8) and (-6t + (-3) = 14). Homework is provided on page 338 (11-34 all) for further reinforcement.

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Solving Two Step Equations

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  1. Solving Two Step Equations 7.1

  2. What is being done to the variable? • 2x +1 =5 • X is being multiplied by 2 and added to 1

  3. What is being done to the variable? • Y is being divided by -7 and added by -9

  4. Goal: • To get x all by itself on one side of the equation. You do this by unwrapping the variable.

  5. Unwrap the variable • By doing the opposite operation in the reverse order

  6. What are the opposite operations in the reverse order? 2x +1 =5 What is being done to x : multiplied by 2 and added to 1 Opposite operation in reverse order: subtract 1 and divide by 2

  7. What are the opposite operations in the reverse order? • What is being done to y: Dividing by -7 and adding a - 9 • Opposite operation in reverse order: subtract a -9 or add a 9 and multiply by-7

  8. Steps • Add or subtract first • Multiply or divide second

  9. Solve : -a + 6=8

  10. -6t+ (-3)= 14

  11. 12-11a=45

  12. Homework • Page 338 (11-34) all

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