 # Operations on Rational Expressions Review

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Operations on Rational Expressions Review
Test Tomorrow!!!

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Rewrite fraction using LCD Simplify numerators and denominators Add fractions

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

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