Rational Expressions - Mathematics 8.pptx

mathematics 8

1. Let’s have Fun!

2. 4 Pics 1 word R __ __ I O A T

3. 4 Pics 1 word E X _ _ E S _ I O _ P R S N

4. Rational Expressions Objectives: define rational expressions Evaluate rational expressions; and Find every value of the variables in the denominator that makes a rational expression undefined.

5. Where Do I Belong? Rational Expressions Not Rational Expressions

6. Where Do I Belong? Not Rational Expressions                

7. Rational Expressions Definition A rational expression in one variable is an expression that can be written in the form where P and Q are polynomials in one variable and Q  

8. Rational Expressions Remember that in evaluating algebraic expressions, we replace the variables with the given values and then simply the resulting expression.

9. Evaluate Evaluate the expression when   Example 1 a. x=0 b. x=1 x=   x= 2

10. Evaluate Find every value of the variable that makes each expression undefined. Example #2 a.   b.  

11. Evaluate To make rational expression undefined, equate the denominator to zero and solve for the variable. Solution

12. Evaluate Solution a.   Equate the denominator to Add 3 on both sides The expression is undefined if a is replaced by 3 because the denominator would be 0.  

13. Evaluate Solution Equate the denominator to Add b on both sides The expression is undefined if variables a and b are replaced by equal values.   b.  

14. Evaluate Find every value of the variable that makes each expression undefined . Try it #2 a.   b.