Solving Two-Step Equations

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Solving Two-Step Equations
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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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Notebook Page

• Title Solving 2 step equations
• Objective To solve 2 step Equations
• EQ How do I solve 2 step equations and verify
  my solutions are correct?

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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.
2. Solve any Multiplication or Division from
   variable side of equation by undoing the
   operation from both sides of the equation.

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Opposite Operations

• Addition ?

• Subtraction

Multiplication ?
Division
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Helpful Hints?

• When solving an equation, the goal is to get the
  variable by itself.
• 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
• 5 5 (Add 5 to both sides)
• 4x 20 (Simplify)
• 4 4 (Divide both sides by 4)
• x 5 (Simplify)

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Another Example
The problem contains subtraction and
multiplication. Which one do we undo 1st?

• -2y 7 3
• 7 7
• 10
• -2y 10
• -2 -2
• y -5

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Last Example
The problem contains addition and multiplication.
Which one do we undo 1st?

• -3c 9 3
• -9 -9
• -6
• -3c -6
• -3 -3
• c 2

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Try These Examples

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

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Now its your turn

1. 5x 4 19
2. 2t 7 -1
3. 6m 1 -23
4. -4w 4 8
5. -7y 3 -25
6. 3t 13 2

1. x 3
2. t -4
3. m -4
4. w -3
5. y 4
6. t 5

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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. 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!

• Keep the equation balanced.
• Use opposite operations to undo
• Follow the rules
• Undo Addition or Subtaction
• Undo Multiplication or Division