UNIT 1 State Exam Review: Rational Numbers
1.Use long division to represent as a decimal. / 2.If the temperature increased at a rate of per hour, how far below zero would the thermometer be if the outside temperature was and was taken again 4 hours later?3. In the morning the temperature. Later that day the temperature measured . How many degrees did the temperature increased by? / 4. The highest temperature in May in the United States was 103. The lowest temperature in March was . What is the difference between the highest temperature and the lowest temperature in March?
5. The tip of a rod is feet above the surface of the water. The hook of the rod is feet below the surface of the water. What is the distance between the tip of the rod and the hook? / 6.Jim’s cell phone bill automatically deducts $32 from his bank account every month. January 1st Jim had a $100 in his bank account. How much would he have in his account at the end of the year?
7.The current temperature is . At night the temperature dropped 85 degrees. What is the current temperature distance from zero? / 8. Simplify:
9. If , what does x equal? / 10. Simplify:
11. Simplify: / 12. Simplify:
13. Evaluate:
/ 14. Evaluate:
15. Simplify: / 16. Simplify:
17. What is the product of and / 18.What is the quotient of −1 and ?
19.Simplify: / 20. Nancy deposited $130 in her new bank account. She later debited $270 for a new phone. What is Nancy’s current bank account?
21. Bill and Susan live 18.5 miles away from each other. Bill started to walk to Susan and stopped of a mile into his walk. He then asked Susan to meet him halfway. How far does Susan need to walk to meet Bill halfway? / 22. The measurement of a rectangular prism has a length of 8inch, a width of 3.5 inch and a height inch. How many 3 inch cubes can this prism hold?
23.Sara and Mary work in a chocolate factory. Mary make pounds of chocolate each hour. Sara makes pounds of chocolate each hour. What is the total amount of chocolate produced after a 4-hour workday? / 24. Andrew deposited $110 into his bank account. He later debited $200 for a new jacket. Later that day a direct deposit was made for $1,000. What is Andrew’s bank account balance?
25. Simplify: / 26. A plant process ton of glass every 4 hours. How many tons of glass will the plant manufacture in a day?
27. A number n, is multiplied by the product is What is the value for n? / 28.Simplify:
29. Jimmy went to Home Depot to buy trim for his house. He bought 39 feet of trim for $1.75 per foot including tax. How much change would Jimmy receive if he paid with a $100 bill? / 30. Peter needs to save money for a trip to Disney. He has a withdrawn account of $677.80. He purchased plane tickets for $424.24 and booked a hotel for $857.89. He received a direct deposit from his employer of $1,426.56. After all the transactions have posted to Peter’s account how much money would Peter owe?
31. Colin account was overdrawn by $1,000.45. He made the following transactions.
Withdrew / 65.20
Automatic Debit / 102.75
Check Deposit / 33.65
Paid Utility Bill / 94.33
- What is Colin’s bank account balance?
- What advice would you give to Colin?
- How many feet pieces of wood can he cut?
- How much leftover wood would Mike have?
- If Mike needs ten feet pieces of wood for the roof of his doghouse. How many pieces of wood would he need to buy from the store?
33. Mike swam miles per day for 7 days. During the same week he biked miles miles per day for 5 days. If mike followed the same work out regiment for 2 weeks, how many miles did he travel? / 34. A pile of books in a Doctor’s office was inches high. Each consecutive week, for the next 7 weeks, the height of the pile increased by inches. What was the height of the pile after 5 weeks?
35. Simplify: / 36. Mrs. Clarkson earns $22.75 per hour for the first 35 hours she works. She earns times that amount per hour for each hour beyond 35 hours. If Mrs. Clarkson worked 40.5 hours how much money did she earn?
37. Best Market sells fruit by the pound. The prices are shown below.
Type of Fruit / Price per Pound
Grapes / $3.50
Apples / $2.25
Bananas / $3.75
How much more money would Sara spend if she bought 2 pounds of grapes instead of 2 pounds of apples? / 38. Stop & Shop sells fruit by the pound. The prices are shown below.
Type of Fruit / Price per Pound
Grapes / $3.50
Apples / $2.25
Bananas / $3.75
Steven has $20 to spend. He buys pounds of grapes and 2.75 pounds of apples. How much money will Steven have left after he pays?
39. Kathy’s account balance at the beginning of the month was $1,687.25. During the month the following deposits and withdrawals were posted.
What is Kathy’s bank account balance at the end of the month? / 40. Morgan has $20.00 to spend on candy for her party. She buys of a pound of Swedish Fish, of Sour Patch Kids, and of a pound of M&M’s. How much change would Morgan have left after her candy purchase?
Type of Candy / Price per Pound
Swedish Fish / $2.75
Sour Patch Kids / $2.25
M&M’s / $2.50
Vasti & Disponzio