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Los Angeles Southwest College Mathematics Department Math 110 – Common Final Exam Practice TEST (answers) 3 4 1. Perform the indicated operation: 12 9 2. Perform the indicated operation: 7 (11) 4 3. Simplify: 4. Combine like terms: 3x 3 6x 9 5. Perform the indicated operation: 42 16 6. Perform the indicated operation: | 11| 11 7. Perform the indicated operation: 2(3)(7) 42 8. Perform the indicated operation: 2 36 12 9. Simplify: 2(2 x 3 y 4) 10. Divide: 0.58 0.7134 7y 7y 16 16 7 y 8 3x 6 4 x 6 y 8 1.23 3 (4) 2 5(3 7) 52 28 25 11. Simplify: 12. Find LCM of the set of terms: 25 x 2 y 2 , 15 x5 y, 6 x 4 y 6 13. Combine like terms: 7 xy 14 x 2 5 xy x 2 52 2 3 or 150 2 xy 13 x 2 11 2 12 3 1 1 6 2 14. Simplify: 15. Simplify: 16. Simplify: 11 17. Simplify: 2 18. Evaluate: a3 a 2 for a 2 3 8 (3 5) 2 (7 16) (2 4)3 2 4 13 2 39 4 5 2 6 3 2 1 1 1 3 3 2 3 6 or 9 361 1 or 10 36 36 12 2 3 4 19. Simplify: 3 2(6 3 2) 2 20. Simplify: 21. Combine like terms: 2 x 2 y3 5x3 y 2 7 x 2 y3 12 x3 y 2 3xy 2 9 x 2 y 3 7 x 3 y 2 3 xy 2 22. Multiply: 4 x(2 x3 6 x 2 5 x 1) 8 x 4 24 x 3 20 x 2 4 x 23. Simplify: (3x 3) (5 x 3) 8x 24. Evaluate: 9 2[7 24 (1)] 9 25. Evaluate the expression: 285 4 xy 25 5 12 y 5 x or 3 2x 3y zy for x 2, y 3 and 3 z 4 5x 3 5 7 4 2 2 3 7 26. Perform the indicated operation: 27. Evaluate: 4 36 2 81 28. Multiply: 2 y 5 (10 y 4 ) (3 y 3 ) 29. Solve the equation: 30. Solve the equation: 9( x 4) 13 4 x 12 x 31. Solve the equation: 6.9x 8.4 4.02 x 1.8 32. Solve the equation: 2.9( x 8.1) 7.8 x 3.95 x 5.6 x 2 6 3 7 12 6 60 y12 x 9 x 12 4 61 5 9 x 2 10 x 45 33. Solve the equation: 34. What percent of 15 is 3? 20% 35. 12 is 25% of what number? 48 36. A piece of coaxial cable each piece? 4 m long is to be cut into 8 pieces of the same length. What is the length of 5 1 10 5 1 1 1 qt (quart) of buttermilk, qt of skin milk, and qt of oil. How many 16 3 2 43 quarts of liquid ingredients does the recipe call for? 48 37. A recipe for muffins calls for 38. A rectangular table top measures 4/5 m long and 3/5 m wide. Find the following: a) it's area and b) it's perimeter. 39. the area is equal to 12 2 14 m and the perimeter is equal to m 25 5 An ocean liner traveled 432 km in 12 hr. At that rate, how far would the boat travel in 42 hr? the boat would travel 1512km 40. water? A lab technician has 680 ml of a solution of water and acid: 3% is acid. How many milliliters are acids? there are 20.4 ml of acid and 659.6 ml of water 6