Solving Equations.ppt
- 1. A QUICK REVIEW OF ALGEBRA Jim Smith JCHS
- 2. Follow These Steps When Solving Equations Simplify Both Sides Get Variables On One Side Cancel The Add And Subtraction Cancel The Mult And Division
- 3. Simplify Both Sides Of The Equal Sign ( This May Take Several Steps) Distributive Property Combine Like Terms Removing Fractions 2x = 4 (x – 8) + 6x
- 4. 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
- 5. 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
- 6. 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
- 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. Given Equation 3(x+2) = x-8 Cup 1
- 11. Simplify Both Sides Cup 2 3x+6 = x-8 3(x+2) = x-8
- 12. Get Variables On One Side 3x+6-x = x-8-x 2x+6 = -8 Cup 3 3x+6 = x-8
- 13. Cancel The Add or Subtraction 2x+6-6 = -8-6 2x = -14 Cup 4 2x+6 = -8
- 14. Cancel The Mult And 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 Both Sides Variables On One Side Cancel Add or Sub Cancel Mult And Div