A QUICK REVIEW
OF ALGEBRA
Jim Smith JCHS
Follow These Steps
When Solving Equations
Simplify Both Sides
Get Variables On One Side
Cancel The Add And Subtraction
Cancel The Mult And Division
Simplify Both Sides
Of The Equal Sign
( This May Take Several Steps)
Distributive Property
Combine Like Terms
Removing Fractions
2x = 4 (x – 8) + 6x
Get Variables On One Side
Of The Equation
If The Equation Has Variables
On Both Sides Of The Equal Sign,
Cancel Out All Variables
On One Side.
3x + 5 = 5x - 7
Cancel Any Addition Or
Subtraction With The Variable
Performing The Opposite Operation
With The Same Number Will
Cancel It. Do This To Both Sides.
2x + 7 = 21
7 – 3x = 19
Be Neat…. Show Your Work
2x + 5 = 5x - 19
2x + 5 - 2x = 5x - 19 - 2x
5 = 3x - 19
5 + 19 = 3x - 19 + 19
24 = 3x
24 = 3x
3 3
8 = x
5x + 2x = 4 ( x + 3 ) + 6
7x = 4 ( x + 3 ) + 6
7x = 4x + 12 + 6
7x = 4x + 18
7x – 4x = 4x + 18 – 4x
3x = 18
3x = 18
3 3
X = 6
5x – 3
3
= 9
5x – 3
3
= 9
3 3
5x – 3 = 27
5x – 3 +3 = 27 +3
5x = 30
5x = 30
5 5
X = 6
END
Given Equation
3(x+2) = x-8
Cup 1
Simplify Both Sides
Cup 2
3x+6 = x-8
3(x+2) = x-8
Get Variables On One Side
3x+6-x = x-8-x
2x+6 = -8
Cup 3
3x+6 = x-8
Cancel The Add or Subtraction
2x+6-6 = -8-6
2x = -14
Cup 4
2x+6 = -8
Cancel The Mult And Division
2x = -14
2x = -14
2 2
x = -7
Cup 5
3(x+2) = x-8
3(x+2) = x-8
3x+6 = x-8
3x+6 = x-8
3x+6-x = x-8-x
2x+6 = -8
2x+6 = -8
2x+6-6 = -8-6
2x = -14
2x = -14
2x = -14
2 2
x = -7
Given Equation
Simplify Both Sides
Variables On One Side
Cancel Add or Sub
Cancel Mult And Div

Solving Equations.ppt

  • 1.
    A QUICK REVIEW OFALGEBRA Jim Smith JCHS
  • 2.
    Follow These Steps WhenSolving Equations Simplify Both Sides Get Variables On One Side Cancel The Add And Subtraction Cancel The Mult And Division
  • 3.
    Simplify Both Sides OfThe Equal Sign ( This May Take Several Steps) Distributive Property Combine Like Terms Removing Fractions 2x = 4 (x – 8) + 6x
  • 4.
    Get Variables OnOne Side Of The Equation If The Equation Has Variables On Both Sides Of The Equal Sign, Cancel Out All Variables On One Side. 3x + 5 = 5x - 7
  • 5.
    Cancel Any AdditionOr Subtraction With The Variable Performing The Opposite Operation With The Same Number Will Cancel It. Do This To Both Sides. 2x + 7 = 21 7 – 3x = 19
  • 6.
    Be Neat…. ShowYour Work 2x + 5 = 5x - 19 2x + 5 - 2x = 5x - 19 - 2x 5 = 3x - 19 5 + 19 = 3x - 19 + 19 24 = 3x 24 = 3x 3 3 8 = x
  • 7.
    5x + 2x= 4 ( x + 3 ) + 6 7x = 4 ( x + 3 ) + 6 7x = 4x + 12 + 6 7x = 4x + 18 7x – 4x = 4x + 18 – 4x 3x = 18 3x = 18 3 3 X = 6
  • 8.
    5x – 3 3 =9 5x – 3 3 = 9 3 3 5x – 3 = 27 5x – 3 +3 = 27 +3 5x = 30 5x = 30 5 5 X = 6 END
  • 10.
  • 11.
    Simplify Both Sides Cup2 3x+6 = x-8 3(x+2) = x-8
  • 12.
    Get Variables OnOne Side 3x+6-x = x-8-x 2x+6 = -8 Cup 3 3x+6 = x-8
  • 13.
    Cancel The Addor Subtraction 2x+6-6 = -8-6 2x = -14 Cup 4 2x+6 = -8
  • 14.
    Cancel The MultAnd Division 2x = -14 2x = -14 2 2 x = -7 Cup 5
  • 15.
    3(x+2) = x-8 3(x+2)= x-8 3x+6 = x-8 3x+6 = x-8 3x+6-x = x-8-x 2x+6 = -8 2x+6 = -8 2x+6-6 = -8-6 2x = -14 2x = -14 2x = -14 2 2 x = -7
  • 16.
    Given Equation Simplify BothSides Variables On One Side Cancel Add or Sub Cancel Mult And Div