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Solving Two-Step Equations. Teacher: Jimmy Frost. What is a Two-Step Equation?. An equation written in the form Ax + B = C. 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.

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solving two step equations

Solving Two-Step Equations

Teacher: Jimmy Frost

what is a two step equation
What is a Two-Step Equation?

An equation written in the form

Ax + B = C

examples of two step equations
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
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.
opposite operations
Addition 

Subtraction

Opposite Operations

Multiplication 

Division

helpful hints
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
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
Try These Examples
  • 2x – 5 = 17
  • 3y + 7 = 25
  • 5n – 2 = 38
  • 12b + 4 = 28
check your answers
Check your answers!!!
  • x = 11
  • y = 6
  • n = 8
  • b = 2
ex 2 solve x 3 4 9
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 examples1
Try these examples!
  • x/5 – 3 = 8
  • c/7 + 4 = 9
  • r/3 – 6 = 2
  • d/9 + 4 = 5
check your answers1
Check your answers!!!
  • x = 55
  • c = 35
  • r = 24
  • d = 9
time to review
Time to Review!
  • Make sure your equation is in the form Ax + B = C
  • Keep the equation balanced.
  • Use opposite operations to “undo”
  • Follow the rules:
          • Undo Addition or Subtaction
          • Undo Multiplication or Division