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Solving Two-Floored 2-Step Equations with Inverse Operations Guide

Learn how to solve 2-step equations using inverse operations. This guide covers the steps involved, such as reversing the order of operations and tackling 1st and 2nd floors in the equation. Examples included for better understanding.

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Solving Two-Floored 2-Step Equations with Inverse Operations Guide

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  1. Bell Ringer • Solve the following equations using inverse operations. SHOW ALL YOUR WORK. • 1. 3x+5= 20 • 2. -4f-4=12 • 3. g/7 +8 = 10 • 4. k/-2- 10= 0

  2. 2 step equations with 2 “floors”

  3. Quick Review • The last lesson was on Simple 2 step equations. • They require 2 steps • 1. Use inverses of addition and subtraction • 2. Use inverses of multiplication and division • We do this because: • Following reverse order of operations.

  4. Two Floored 2- step equations 2nd Floor Each problem has 2 “floors”. 1st Floor

  5. Here’s how you solve • Get rid of the number farthest from the variable on the variable side first (In this case, The number on the 1st floor is farthest) • To do this, multiply both sides by the 1st floor. • After cancelling out, What is left is a 1-step equation. • Solve your 1 step equation.

  6. Example x10 X 10 10 is what we need to cancel out Multiply both sides by 10. This is now a 1 step equation! Solve your equations X + 9 = -10 -9 -9 X = -19

  7. x 7 x 7 K - 6 = -14 +6 +6 k = -8

  8. What we are really doing… • Following the reverse order of operations • This is the same as saying: • (k-6)/7=-2

  9. That’s All! • Please complete your DLIQ!!!!!

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