2. Algebraic Equations SOLVING MULTI-STEP EQUATIONS Powerpoint hosted on www.worldofteaching.comwww.worldofteaching.com Please visit for 100’s more free powerpoints

3. Equal Sign The “=” indicates that the values of two expressions are equal 40 + 5= 45

4. Background Sometimes it is important to find the missing value that makes two expressions equivalent. This is called “Solving the Equation” We can make transformations on both sides of the equation without changing their equivalence in order to get the variable by itself

6. Transformations to both sides of the equal sign

7. Transformations to both sides of the equal sign

8. We are going to use this information to help us solve our equations.

9. Lesson 1

10. Algebraic Equations Multiplication with Subtraction 2x – 4 = 8 +4 2x=12 22 x=6

11. Algebraic Equations Multiplication with Addition 5x + 10 = 80 -10 5x=70 55 x=14

12. Algebraic Equations Multiplication with Subtraction -3x – 4 = -82 +4 -3x=-78 -3 x=26

13. Algebraic Equations Division with Addition -2 =6 x=30 x5x5 (5)

14. Algebraic Equations Multiplication with Addition -2 x=6 x=18/2 = 9 2323 (HINT) Reciprocal 3232 3232

15. Algebraic Equations C.L.T. -20 10x = 60 10 4x +6x + 20 = 80 ( ) 10x + 20 = 80 10 x = 6

16. 12 7x + 5x - 12 = 48 12x - 12 = 48 +12 12x = 60 X = 5 Algebraic Equations