Operations on Rational Expressions Review - PowerPoint PPT Presentation

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Operations on Rational Expressions Review

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Operations on Rational Expressions Review Test Tomorrow!!! A _____ expression is an expression that can be written as a ratio of two polynomials. – PowerPoint PPT presentation

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Title: 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.
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