Solving Two-Step Equations

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Solving Two-Step Equations

• 7th Grade Math

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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 ________ or __________ on the
   variable side of equation by _________ the
   operation from both sides of the equation.
2. Solve any __________or ___________ from variable
   side of equation by ________ the operation from
   _________ sides of the equation.

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Inverse Operations

• Addition ?

• ___________

Division
__________?
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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.

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Ex. 1 Solve 4x 5 11

• 4x 5 15
• (Add __ to both sides)
• 4x 20 (Simplify)
• (Divide both sides by _)
• x (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
• - - (Subt. _ from both sides)
• x/3 5 (Simplify)
• (x/3) ? _ 5 ? _ (Mult. by _ on both sides)
• x (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