Operations on Rational Expressions Review

1
Operations on Rational Expressions Review

• Test Tomorrow!!!

2
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)(x5)
• C. (x5)(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.