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## Solving Simple Two-Step Equations

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**What is a Two-Step Equation?**An equation that requires 2 operations on each side to isolate the variable. REMEMBER: THE GOAL IS TO ISOLATE THE VARIABLE**Examples of Two-Step Equations**• 3x – 5 = 16 • y/4 + 3 = 12 • 5n + 4 = 6 • n/2 – 6 = 4**Steps for Solving Two-Step Equations**• Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation. • Solve any Multiplication or Division from variable side of equation by “undoing” the operation from both sides of the equation.**Addition **Subtraction Opposite Operations Multiplication Division**Helpful Hints?**• Identify what operations are on the variable side. (Add, Sub, Mult, Div) • “Undo” the operation by using opposite operations. • Whatever you do to one side, you must do to the other side to keep equation balanced.**Ex. 1: Solve 4x – 5 = 11**4x – 5 = 15 +5 +5 (Add 5 to both sides) 4x = 20 (Simplify) 4 4 (Divide both sides by 4) x = 5 (Simplify)**Try These Examples**• 2x – 5 = 17 • 3y + 7 = 25 • 5n – 2 = 38 • 12b + 4 = 28**Check your answers!!!**• x = 11 • y = 6 • n = 8 • b = 2**Ex. 2: Solve x/3 + 4 = 9**x/3 + 4 = 9 - 4 - 4 (Subt. 4 from both sides) x/3 = 5 (Simplify) (x/3) 3 = 5 3 (Mult. by 3 on both sides) x = 15 (Simplify)**Try these examples!**• x/5 – 3 = 8 • c/7 + 4 = 9 • r/3 – 6 = 2 • d/9 + 4 = 5**Check your answers!!!**• x = 55 • c = 35 • r = 24 • d = 9