Solving Two-Step Equations

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Solving Two-Step Equations

• 7th GRADE
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What is a Two-Step Equation?

• An equation written in the form
• Ax B C

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Examples of Two-Step Equations

1. 3x 5 16
2. y/4 3 12
3. 5n 4 6
4. n/2 6 4

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Steps for Solving Two-Step Equations

1. Solve for any Addition or Subtraction on the
   variable side of equation by undoing the
   operation from both sides of the equation. You
   will do the inverse operation for this.
2. Solve any Multiplication or Division from
   variable side of equation by undoing the
   operation from both sides of the equation. You
   will do the inverse operation for this.

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Inverse (Opposite) Operations

• Addition ?

• Subtraction

Multiplication ?
Division
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Helpful Hints?

• Identify what operations are on the variable
  side. (Add, Sub, Mult, Div)
• Undo the operation by using inverse
  operations.
• Whatever you do to one side, you must do to the
  other side to keep equation balanced. Remember
  math is fair!!!

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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)

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Try These Examples

• 2x 5 17
• 3y 7 25
• 5n 2 38
• 12b 4 28

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Check your answers!!!

1. x 11
2. y 6
3. n 8
4. b 2

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Ready to Move on?
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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)

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Try these examples!

1. x/5 3 8
2. c/7 4 9
3. r/3 6 2
4. d/9 4 5

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Check your answers!!!

1. x 55
2. c 35
3. r 24
4. d 9

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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

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Thats All!