x− x+4 x+1 x−2 Unit 4 Extra Review 5 x+2 + x+1 x 2 −x−6 x 3x−5 = 2 x−1 Multiplying and Dividing Adding and Subtracting Solving Rational Equations Potpourri 1) 1) Lauren can wash a car in 50 minutes. Mike can wash the same car in 30 minutes. Working at the same rate, how long would it take to wash the car if they work together? 2) 2) Kent can paint the living room in 4 hours, and if he works with his Kendra, they can paint the room in 3 hours. How long would it take Kendra to paint the room by herself? 3) 4) x 2 +3x−10 x 2 +8x+15 ∗ x 2 +5x+6 x 2 +4x+4 5 x+2 + x+1 x 2 −x−6 x 3x−5 = 2 x−1 2 x 3 −12 x 2 x 2 −4x−12 ÷ 8 x 3 +24 x 2 x 2 +9x+18 2x x+2 − 8 x 2 +2x x+1 x−2 = x+5 x−6 4 3x + 2 x 2 x x+1 − 4 x+1 x 2 −11x+24 x 2 −18x+80 ∗ x 2 −15x+50 x 2 −9x+20 9 x+3 + 6 x−5 x+1 4x − 3 5 = 6 x x− x+4 x+1 x−2 x 2 −25 2x−3 ÷ x 2 +6x+5 2 x 2 −x−3 8 x+2 + 3 2 =5 6x+4 x 2 +2x−8 − 2 x+4

x−5 x−2 x+2 x=5,2 12 hours x−3 x−4 x= 2 7 x+2 x+1 18 3 4 mins x= 1 2 Unit 4 Extra Review Answers Multiplying and Dividing Adding and Subtracting Solving Rational Equations Potpourri 1) 2) 3) 4) x−2 x+2 2 3x−7 (x−3)(x+2) 18 3 4 mins x=5,2 x+6 4(x+2) x= 1 2 2 x−2 x 12 hours x−3 x−4 3 5x−9 (x+3)(x−5) 2 x+1 2x+3 3 x 2 (x−4) x=− 115 7 x= 2 7 4 x+2 (x−2)(x+4) x+2 x+1 x−5