Algebraic function addition Subtarction.pptx

Algebraic function

1. Ch9 9.4: Addition and Subtraction of algebraic Fraction 9.5: Solving Fractional Equation Week 10 Monday 11/11/2019

2. Addition and Subtraction of algebraic Fraction Now that you know how to find the LCD, you can add and subtract Algebraic fraction with different denominators Example:   1. Factor completely. 2. Determine the LCD. 3. For each term, multiply the numerator and denominator by any factors that are in the LCD, but not in that denominator. 4. Perform the addition/subtraction and simplify the numerator

3. Example:  

4. Practice:  

5. Solving Fractional Equation A  fractional equation  is one that contains fraction terms. TO SOLVE AN EQUATION WITH fractions, we transform it into an equation without fractions (which we  know  how to solve).  The technique is called clearing of fractions. Example: Solve for x, =6   1 st . Multiply both sides of the equation -- every term -- by the LCD of denominators.  We have two denominator 3,5 , so find LCD for both 3, 5 LCD of 3, 5 is 15, So we multiply both sides of the equation by 15   Now we have the following simple equation that has been "cleared" of fractions:   2 nd . solve the equation.

6.   3 rd . Check your answer for restriction ( because sometimes the solution has correct procedure to find x, BUT the value of x dose not satisfy the equation (if we substitute the x value the statement will be false) .

7. Example:  

8. Example:   when a single fraction is equal to a single fraction , then the equation can be cleared by "cross-multiplying."

9. Practice: Solve for x,  

10. Homework P(318): 9.4 # 1,3,5,7,8,9,11,13,15 P (326): 9.5 # 1,2,3,4,5, 7, 17, 19, 21,23