Intermediate Algebra – Practice Test Exam 2

Intermediate Algebra – Practice TestExam 2 – Chapters 10 and 11NAME _______________Directions: Show all work and write your final answer in the space provided.1. Solve: (x – 2)(x +3) = 6 1. _______________2. Find the length of the shorter leg of a right triangle if the longer leg is 10 more than 2. _______________the shorter leg and the hypotenuse is 10 less than twice the shorter leg.3. Factor: 27x 3 – 8y 3 3. _______________4. What is the domain of the expression5x 6? 4. _______________26x x 125. Simplify:2x2x222 5x 3 x 12x 352 7x 4 x 2x 155. _______________6. Simplify:3x(x 5)(x 2) x26 3x 106. _______________7. Solve:5x 22x 15x2x 37. _______________8. An object is dropped from the top of a 400-foot tall building. The height h of the 8. _______________object after t seconds is given by the equation h(t) = -16t 2 + 400. Find how manysecond pass before the object hits the ground.9. Solve:1x 24 12x 4 x 29. _______________

10. Simplify:52x 9 x24 6x 910. _______________11. Solve: (2x – 3)(x + 6) = (x – 9)(x + 2) 11. _______________12. An experienced worker can complete a job in 5 hours. An apprentice can complete 12. _______________the same job in 8 hours. Find how long it takes if they work together.4 313. Divide: (3x 2x 5x 7) (x 3)13. _______________14. Simplify:24x 9 2x26x 7x 3 6x22 5x 1211x 314. _______________15. Solve:x 1x 3x2x211xx 3 x 6 x 215. _______________16. Solvey 2x for y.2y 116. _______________17. Simplify:5x 3 4x 32x 112x17. _______________18. A person on the Salt River rows 9 miles downstream in the same amount of time 18. _______________he rows 3 miles upstream. If the current of the river is 6 miles per hour, find howfast he can row in still water.19. Simplify:x1yy1x19. _______________3 2220. Divide: (2x 5x 3x 4) (x 2)20. _______________