ࡱ> y (bjbjEE .~''G &iZZ8Q\ or =. Show your work in getting a number to compare to another. a) | -9 | -(-1) b) - | - 3 | (-3)2 c) - 32 (-2)3 d) 12/17 4/7 e) 2.19 2.019 8. Perform the indicated operation for each of the following: a) - 6 ( 3 b) 12 + - 2 c) - 4 + -5 d) - 15 + 4 e) 3 ( 7 f) (- 9 ) ( 5 ) g) ( - 5 ) ( - 8 ) h) - 24 ( 8 i) - 63 ( - 7 9. Use rules of exponents to expand and simplify each of the following a) ( - 2 )4 b) ( 123 )0 c) (5/7) 2 d) - 24 10. Simplify each of the following a) 3/x + 2/7 b) 1 3/7 + 5 34/35 c) 17 1/4 ( 14 2/3 11. Match the example on the left with the correct property on the right. (Write the letter of the matching property on the line next to the example that exhibits the property) ___ 5x + 4 + 3x = 5x + 3x + 4 a. Distributive Property ___ 0 + 3 = 3 b. Identity Element of Multiplication ___ 2 ( 2/2 = 4/2 c. Commutative Prop. of Addition ___ (8)(7x) = 56x d. Identity Element of Addition ___ 4(x + 2) = 4x + 8 e. Associative Prop. of Multiplication 12. Give the correct answer for each of the following: a) 0 ( 12 b) 12 c) 0 (12 0 13. Change to standard form. a) 5.52 x 10 -4 b) 2.73 x 10 3 14. Change to correct scientific notation. a) 0.00001390 b) 14,050,000 15. For each of the following set up an algebraic equation and solve using algebra. (This means that you must have and x and use a proportion or ___%of ___ is ___.) a) 24 is what percent of 36? b) 15 is 75% of what number? c) 60% of 105 is what? 16. For each problem below perform the indicated operation. Final answer must be given in simplest form and/or as a mixed number. a) 1 1/2 ( 3 b) 3 ( 3 3/5 c) 7 1/8 ( 9 d) 4 5/8 ( 9 1/37 17. What is the y-coordinate of the ordered pair (-9,5)? 18. Determine whether (-3,-18) is a solution to y = x ( 6. 19. For the equation 2x ( y = 4 a) What is the x-intercept? Work must be shown. b) What is the y-intercept? Work must be shown. 20. For the equation 2x + y = 6, complete the table, showing work: xy0-1-2 21. For a horizontal line, what must always be true about the y-coordinate of any ordered pair on that line? 22. Is the following a line that would have the equation x = 9? 23. Plot the ordered pairs (-4,-1), (0,-3), (5,-1), (-1,4), and (5,0) and label the Quadrants correctly.     24. Give the coordinates of the 6 points below, by labeling them with their correct ordered pairs.         25. Graph the line, showing your work for the 3 ordered pairs. 2x ( y = 4     26. For the following polynomial expression: (7x2 ( 2x + 3) ( (5x2 ( 5x + 5) a) Subtract the polynomials. b) Give the degree of the resulting polynomial from part a). 27. Simplify each of the following: a) (7x)0 b) (xy)(7xy2) c) 25x3y2 5x3yz d) 2-1 28. There are 35 women and 28 men in the room. What percent of the people in the room are men? Show all work in arriving at your answer as well as the percentage. 29. What unit rate in miles per hour is a car traveling if it travels 425 miles in 5 hours? Write the problem out in words and then solve it. 30. The ratio of men to women in the math department is 3 to 2. If there are 312 women, how many men should there be? 31. Write the ratio of height to width correctly, if the height is 5/2 and the width is 4/3. 32. What is the ratio of calories to fat in a candy bar containing 1.5 grams of fat and 300 calories? Write the problem out in words and then solve it. The answer must be a valid ratio. 33. Mel Rose is a 6-foot-tall park ranger who needs to know the height of a particular tree. He notices that when the shadow of the tree is 69 feet long, his own shadow is 9 feet long. Find the height of the tree using similar triangles.  34. Solve a) 10a2b ( 4ab b) 25x3y2z ( 14xyz c 5c3 28xy5z3 45x9y3z5 35. Solve and check: x + 2/3 = 5 36. Solve and check: 0.1x ( 2.2 = 5 37. Simplify 7x ( (2 ( 5x) + 9x ( 9 38. Simplify. 12 ( 4 ( 12 ( 3 + 1 39. Your checking account has $3884.12, you write a check for $4182.66, using algebra, show how you would decide how much you need to deposit in order to have an ending balance of $1128. Your equation must contain both the numbers representing the beginning balance and the check and use only integer addition. 40. The sum of 25 and a number is equal to twice the difference of the number and 5. Give the equation and solve. 41. Using a missing factor set-up, solve the following problem. At a baseball game, a group of fans has a total of $27.18. Each soda costs $1.10. How many sodas can they buy? 42. What is the average math SAT score if a group of 5 students score the following: 510, 484, 551, 327, 413? 43. In the 2000 elections, incumbent Craig Thomas received 110,280 more votes than his challenger. If a total of 204,358 votes were cast, find how many votes Craig Thomas received. 44. Molly invested $3,000 in a mutual fund that paid 2.5% simple interest per year. If she left the money in the mutual fund 6 years what will her total withdrawal be? 45. Sam went to Portland, Oregon, a distance of 637 mile. Traveling at an average speed of 67 mph, how long will it take him to get there? Round your final answer to the nearest tenth of an hour. 46. The temperature in Barrow, Alaska today is -29(F and the temperature in Morgan Hill is 68(F. Find the difference in the temperature between Morgan Hill and Barrow. 47. Write the name of the number on the line. Spelling and hyphens count. a) 11, 001,005 ______________________________________________________ b) 2.0035 ______________________________________________________ 48. FOIL the following (distributive property) (2x + 5)(x ( 2) 49. The price of the book is three times the sum of the calculator and the pencil. The book is sold for $48 and the pencil for $4. What is the price of the calculator? To get any credit this must be set up and solved using algebra, and it must list all of the known and unknown values and show how they come together to obtain the equation used to solve the problem. 50. Multiply/Divide. a) (-15c4d)( 2 c3 d ) b) 27z3 12xy2z 25x2y 5 51. A circle has the radius of 4.8 inches. Find the circumference of the circle. Use ( = 3.14 to solve. 52. Simplify using correct order of operations. a) 19 ( (6 ( 8)3 + (100 ( 36 b) -6 1/8 ( 3/16 ( 3/4 -11.7 ( 1.8 + 2.6(7.5) 53. Find the LCD and the GCF of the following terms. 15x2y3z & 24xy2 54. Build the higher term for 2x using the LCD in 53. 15x2y3z 55. Factor 15x2y3z + 24xy2 using the GCF in 53.     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