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Equations with Rational Expressions Multiply throughout by the LCD of all the involved fractions. Check your answer! ◦ We cannot divide by 0 and thus have to exclude any values that result in zero denominators. Without actually solving, list all possible numbers that would be rejected as solutions. 5 8 𝑥 − = 6𝑥 2𝑥 4 Without actually solving, list all possible numbers that would be rejected as solutions. 3 1 2 − = 𝑥2 + 𝑥 𝑥 + 5 𝑥 − 7 Solve. 3 5 7 = − 4𝑥 2𝑥 4 Solve. 𝑥 12 − =1 2 𝑥 Solve. 3𝑥 + 1 6𝑥 + 5 = 𝑥−4 2𝑥 − 7 Solve. 6 5 −20 + = 2 𝑥 − 4 𝑥 𝑥 − 4𝑥 Solve. 1 3 5 + = 2 𝑦 + 2 𝑦 + 7 𝑦 + 9𝑦 + 14 Solve. 2 4𝑥 − 7 −2𝑥 + 5𝑥 − 4 𝑥 + 1 = + 2 2 4𝑥 − 9 4𝑥 − 9 2𝑥 + 3 Applications of Rational Expressions a. b. Solve for Solve for 𝑔. 𝑎. 𝐴 = 𝑔𝑠 J 𝑞= 𝑎 Find 𝐿 if 𝑐 = 80 and 𝑏 = 7. 100𝑏 𝑐= 𝐿 Solve for 𝑚. 𝑘𝑀𝑚 𝐹=− 2 𝑟 Solve for z. 1 1 1 = + 𝐴 𝑣 𝑧 Solve for 𝑓. 𝑞𝑓 𝑚= 𝑓 + 𝑞𝑠 Solve for 𝑠. 1 𝐴 = ℎ(𝑠 + 𝑏) 3 Solve for 𝑥. 𝐹 𝑅+𝑥 = 𝑔 𝑥 Be sure to stay on top of your MyMathLab assignments!!!