University of Maryland University College Math 107 - College Algebra Quiz 1 Free Response Problems, 3 Points Each. You may write answers after problems (you may use Microsoft Equation). If you prefer handwriting, prepare you answer sheet, scan it, and prepare a file in PDF format. 1. Add or subtract. Simplify by collecting like radical terms if possible. 7 200 8 4 128 2. Simplify. (2 x 3 )(7 x 8 ) 3. Name the rational numbers that are not integers from the list below. 1 13 5, 0, 66, 3.86, 8, 64, 1 , , 1.1616616661 4 28 4. Multiply. ( x 9) 2 5. Write the number without exponents. 5.6 107 6. Solve the inequality. Express your answer using interval notation. 2( x 3) 8 7. Solve the absolute value equation. 2x 3 5 8. Factor the trinomial. b 2 11b 30 9. Multiply. (b 8)(b 9) 2 10. Factor the trinomial completely. 2 x3 2 x 2 60 x 11. Simplify. Assume that all variables represent positive real numbers. 3 125y 6 12. Simplify. m6 n 6 m1n 13. Convert to scientific notation. 0.00000000056 14. Multiply and simplify. (Use exponential notation with positive exponents.) 21 27 15. Multiply and simplify. y 2 3 y 10 25 y 3 4 y 5 y3 2 y 2 5 y 25 16. Solve the equation. Find the precise solution and simplify it. 7(5 x 8) 12 ( x 4) 17. Write the set of numbers in interval notation. x 1 x 6 18. Rationalize the denominator. 4 5 6 19. Find the product. (4b 4)(4b 4) 3 20. Solve the equation. z 2 169 21. Simplify. w w 1 w w 1 22. Solve the equation. 30t 2 19t 63 23. Factor completely. 2 w3 54 24. Perform the operation indicated. ( x4 8x2 2 x) (8x3 x 2 7 x 5) 25. Perform the indicated operation. Simplify, if possible. 7 7 2 x 9 x 3 26. Simplify. (3 3 5)( 3 10 5) 27. Factor. 3w2 15w 252 28. Find the absolute value. 22 7 29. Solve the following equation. s 2 9s 0 4 30. Convert the radical notation to exponential notation. 7 4 5 31. Simplify and then write using radical notation. x5 7 y11 14 x 2 7 y1 2 32. Simplify. ( 5 7) 2 33. Simplify. Give an exact answer, using radicals as needed. 112