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Solving Two-Step Equations - PowerPoint PPT Presentation
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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
Teacher: Jimmy Frost
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
- 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.
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
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
- 2x – 5 = 17
- 3y + 7 = 25
- 5n – 2 = 38
- 12b + 4 = 28
Check your answers!!!
- x = 11
- y = 6
- n = 8
- b = 2
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 examples!
- x/5 – 3 = 8
- c/7 + 4 = 9
- r/3 – 6 = 2
- d/9 + 4 = 5
Check your answers!!!
- x = 55
- c = 35
- r = 24
- d = 9
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
That’s All!
Good Bye
