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**Operations on Rational Expressions Review**

Test Tomorrow!!!

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**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

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**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

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**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

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**Simplify the expression by dividing out the common monomials**

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

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**Simplify the expression:**

A. C. B. D.

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**Simplify the expression:**

A. C. B. D.

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**Multiply rational expressions involving polynomials:**

Multiply numerators and denominators Factor if possible Divide out common factors

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

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**Find the Quotient: Change the division to multiplication**

Flip the second fraction Cross simplify if possible Multiply numerators and denominators

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

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**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

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

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**Add and subtract – Same denominator**

Add numerators Factor and divide out common factors Simplify

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**Find the sum or difference:**

B. D. A. C.

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**Find the sum or difference:**

B. D. A. C.

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**Add expressions with different denominators**

Rewrite fraction using LCD Simplify numerators and denominators Add fractions

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**Find the sum or difference:**

A. C. B. D.

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**Find the sum or difference:**

A. C. B. D.

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12.1 – Simplifying Rational Expressions A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator.

12.1 – Simplifying Rational Expressions A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator.

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