Chapter 2 Lesson 2 Solving Two-Step Equations Teacher: Jimmy Frost

What is a Two-Step Equation? An equation written in the form Ax + B = C

What to know… Make sure your equation is in the form Ax + B = C Keep the equation balanced. Use opposite operations to “undo” Follow the rules: 1.Undo Addition or Subtaction 2.Undo Multiplication or Division

Opposite Operations Addition  Subtraction Multiplication  Division

Examples of Two-Step Equations a)3x – 5 = 16 b)y/4 + 3 = 12 c)-n + 4 = 6 d)n/2 – 6 = 4

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 = 15 4x – 5 = (Add 5 to both sides) 4x = 20(Simplify) 4 4(Divide both sides by 4) x = 5(Simplify)

Ex. 2: Solve x/3 + 4 = 9 x/3 + 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 1.2x – 5 = = c 3.-b + 5 = = 2/5 x - 7

Check your answers!!! 1.x = 11 2.c = -2 3.b = 21 4.x = 120

Try These Examples 1.2x – 5 = = c 3. -b + 5 = = 2/5 x - 7

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