1. What is the additive inverse of -15? 2. Illustrate the zero property of addition. 3. The absolute value of -2.5 is 4. Abbott and Costello are playing the integer addition card game but the scoring method has changed drastically since they played during math class. The new rule is that the winner will gain the sum of all the cards. Abbott made zero combinations of all of his cards. Costello has the following cards remaining: one red nine, one black seven, and one red five. How many points will Abbott score? (Recall the following game facts: red is negative, black is positive.) 5. Students from North Salem Middle School were searching for Santa’s Workshop in the North Pole last winter for an entire week. Although the weather was brutal, they did not give up. The nightly temperatures are listed in the table below. Which night was the coldest? Monday Tuesday Wednesday Thursday Friday 22º 23º 16º 22.9º 24º 6. If you were to represent the sum of -10 and +3 using an arrow, how long would the arrow be and what direction would it point? 7. Adding two positive integers will __________ give you a smaller negative integer. 8. A negative number subtracted from a positive number is __________ a positive #. 9. The sum of a positive number and a negative number is __________ a negative #. 10. Multiplying two negative numbers is __________ a positive number. 11. Adding two negative numbers will __________ result in a smaller negative number. 12. Which will give the smallest value? a. + 6 ∙ -6 b. -6 + -3 c. -3÷ -12 d. -6 - -3 e. 6 + 3 13. Simplify: |-12 - -5| | 14. A small legend (also called the key or scale ratio) on the corner of a map states that 3 inches of the length corresponds to an actual length of 20 feet. What is the scale factor? - 15. Find the sum of 1/3 and ¼ 16. A dog runs 80 feet in 20 seconds. What is his unit rate (feet per second)? 17. A rug store advertised all carpets priced at a ¼ discount. What is the discount price of a $800 carpet? 18. Simplify: (-2)(-0.25) 19. Divide: -5 ÷ (1 ½) 20. What is the sum of -12 and -51? - 21. Simplify: 18 - 5 22. Terminating decimals come from fractions with denominators that have prime factors of… 23. Give a simple fraction that when written in decimal form will be terminating. 24. Give a simple fraction that when written in decimal form will be repeating. - 25. Subtract: ( 1/6) – (1/2) 26. Simplify: - 2½+1¼ 27. Finish the statements… Distance is always __________. Change may be __________ or __________. 28. Find the value of |7 – 5| + |6 - 10| - 29. Simplify: |12.6 - 15¼| 30. Write a formula using absolute value that could be used to find the distance between an airplane flying at an altitude of 25,000 feet above sea level and a submarine located 250 feet below sea level? 31. Simplify: (-15) ÷ (-.75) - - 32. Find the value of ( 9) (2) ( 1) 33. Simplify: - - .25 – 3 x( 1/2) 34. Simplify: .25 x (3 - - ¾) 35. What is the value of (-1)12 36. The product of a negative and a positive is ________________ a positive. 37. At lunch time, Roland often borrows money from his friends to buy snacks in the school cafeteria. Roland borrowed $1.25 from his friend Clyde five days last week to buy ice cream bars. How much did Roland owe Clyde at the end of the week? 38. What are rational numbers? 39. Mr. Savarese did not realize his checking account had a balance of $700 when he used his debit card for a $919.75 purchase. What was his checking account balance after the purchase? 40. What is the prime factorization of 2000? 41. Write 0.48 in simplest form. 42. Convert 6/40 to a decimal. 43. Kelly and her three friends went to the movies. Each purchased a medium-sized popcorn for p dollars and a small soft drink for s dollars. Write an expression to represent the total amount of money (in dollars) they spent at the concession stand? - - 44. Evaluate the expression, 2(x + y) for x = 4 and y = 5 - 45. Evaluate the expression, 3p + 6p – 5y for x = ½ and y = 3 46. Is the expression 3x – 2 equivalent to 3(x - 2)? Why or why not? - - 47. Evaluate the expression, 2x – 2(x – 4) for x = ½ 48. Write an expression to find the discount price of an item that originally cost x dollars and is on sale for 30% off. 49. A store is having a 20% off sale. The original price is $60. What will the sale price be? 50. Which expression could be used to find the new price of an item that was marked up 30%? Note: The original cost of the item was x dollars. 51. Which expression could be used to find the sale price, including tax, of an item that originally cost $35, is on sale for 40% off, and finally has 8% tax? a) (35)(.6)(1.08) b) (35)(.4)(.92) c) (35)(.6)(.92) d) (35)(.4)(1.08) e) 35 52. What is a word that means you would add to your bank register. - 53. Solve for x: 2(x - 4) = 48 54. Solve the following equation for y: (2/5)y + 6= 12 55. Solve for n: n/2 + 8 = 20 56. Find w: 30 - 10p = 140 57. If 16 = -3 + y, find the value of y. 58. To rent a canoe you need to pay a $15 fee and then pay $10 per hour. Alisa and Chelsea paid a total of $85 to rent a canoe. Write an equation to find the number of hours (h) they rented the canoe. 59. Ethan bought 4 cans of tennis balls. He paid for part of the purchase using a gift card with $8.65 on it. He paid for the rest with $2.35 of his own money. What was the cost of each can of tennis balls?