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Operations on Rational Expressions Review Test Tomorrow!!!

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Presentation on theme: "Operations on Rational Expressions Review Test Tomorrow!!!"— Presentation transcript:

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?) 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. A rational expression is undefined when the value of x causes the denominator to equal zero. Set the denominat or equal to zero and solve for x The expression is undefined when x = 3

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. Factor numerator and denominator completely, then divide out common factors.

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

7 A.C.B.D.

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

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

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

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

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

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

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

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

16 A.C. B.D.

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

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

19 A.C. B.D.


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