Bell Work: 11/6/14 Simplify the following numeric fractions. 42 56 7 12 · 4 7 14 24 ÷ 7 3 2. Simplify the rational expression. a. 3 x 5 4 x 3

Vocabulary Rational expression= Factor= Term= Ex. 3𝑥(𝑥−2) 9( 𝑥 2 −4)

Simplify the following rational expressions x(x+2)(3x−1) 7(x+2)(3x−1) 2. 15 𝑥 4 𝑦 2 5 𝑥 3 𝑦 7

Undefined Values Zero cannot be in the denominator

Multiplying Rational Expressions Factor the expressions all of the numerators and denominators. Divide out any common factors of the numerators and the denominators. Multiply the numerators across, multiple the denominators across. Remember to write down any undefined values. Ex.) 𝑥 3 +2 𝑥 2 𝑥+1 · 𝑥 2 −1 𝑥

Multiply the Rational Expression 𝑥 2 +4𝑥+3 25 𝑥 3 · 5𝑥 2𝑥+6

Dividing Rational Expressions Multiply by the reciprocal 𝑥+2 𝑥−4 ÷ 1 3𝑥−12

Simplify, Multiply, and Divide Rational Expressions Worksheet In pairs designate a Player A and a Player B Each player fills out their column Put answers in center columns, if the answers don’t match check each other’s work!

Solving Rational expressions for x 2 x 2 +7x−15 2x−3 =10 x 2 −25 x−5 =1

Summary Table Numerical Fractions Rational Expressions Simplifying Multiplying Dividing