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MATH 115 Practice Test #3 (Chapter 5) 1. Simplify: 24 x 3 y 7 a. 8 xy 4 c. 2n 2 8n 4n e. x 2 36 6 x b. 2 x 12 x x 30 d. n 2 11n 18 n 2 9n 22 2 2. Perform the operation and write in simplest form: y2 −4y y3 ( x 1) 2 x 2 4 a. ∙ b. y4 y2 −3y−4 ( x 2) 2 x 2 1 c. x2 4x x3 7x2 x 2 x 20 x 2 13x 40 5 x 15 x 2 x 12 d. 3x 6 x 2 7 x 10 3. Subtract: 5 2 a. – 2 x 17 x 9x 4. Solve: x 3 3 a. x 3 2 x 3 5. Simplify the complex fractions: 2 3 x y a. 5 2 x y 9 x c. 81 1 2 x b. x 2 15 x 54 x 9 9 x b. x 1 3 12 2 x3 x x 3x b. 1 d. 1 y 2 2x 2x 1 y 4 4x 3 4 2 2x x 5 7 2 3x x c. c. 2 5 2 x x 6 x 5x 6 2 3 7 x7 x5 6. It takes you 30 hours to build a website. Your friend can build the same website in 20 hours. Working together, how long will it take the team to build a website? 7. Rob can run 27 mi in the same time it takes Mike to run 15 mi. If Rob runs 4 mi/h faster than Mike, find Mike’s speed. 8. The tax on a property with an assessed value of $130,000 is $1,440. Find the tax on a property with an assessed value of $250,000 (round to the nearest cent).