1. Operations on Rational Expressions Review
Test Tomorrow!!!

2. A. Radical C. Binomial B. Relational D. Rational
A _____________ expression is an expression that can be written as a ratio of two polynomials.
A. Radical
C. Binomial
B. Relational
D. Rational

3. Simplifying a Rational Expression
Finding the excluded values. (What values of x make the rational expression undefined?)
A rational expression is undefined when the value of x causes the denominator to equal zero.
The expression is undefined when x = 3
Set the denominator equal to zero and solve for x

4. Find the excluded value of the expression:
A. (x-3)(x+5)
C. (x+5)(x-3)
B. X = 3, -5
D. X = -3, 5

5. Simplify the expression by dividing out the common monomials
Factor numerator and denominator completely, then divide out common factors.

6. Simplify the expression:A. C. B. D.

7. Simplify the expression:A. C. B. D.

8. Multiply rational expressions involving polynomials:
Multiply numerators and denominators
Factor if possible
Divide out common factors

9. Find the product: A. C. B. D.

10. Find the Quotient: Change the division to multiplication
Flip the second fraction
Cross simplify if possible
Multiply numerators and denominators

11. Find the quotient: A. C. B. D.

12. How can you find the least common multiple of polynomials?
Use common factors only once.
Step One: Write the factors of each expression
Step Two: Find Common Factors
Step Three: Multiply

13. Find the LCM of 9x and 4x A. C. B. D.

14. Add and subtract – Same denominator
Add numerators
Factor and divide out common factors
Simplify

15. Find the sum or difference:B. D. A. C.

16. Find the sum or difference:B. D. A. C.

17. Add expressions with different denominators
Rewrite fraction using LCD
Simplify numerators and denominators
Add fractions

18. Find the sum or difference:A. C. B. D.

19. Find the sum or difference:A. C. B. D.