4. How many 2/3-cup mugs can be filled with 10 cups of stout?

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1 1. Find each of the following three products. a b c The tuition to attend Bedrock University is $3500. Barney Rubble obtains a loan for 5/7 of the tuition. How much is the loan? 3. Simplify each of the following fractions. a b c. 0 d. 0 e f. x 4. How many 2/3-cup mugs can be filled with 10 cups of stout? 1

2 5. A tank had 18 liters of gasoline in it when it was 2/3 full. How much can it hold when full? 6. Solve each of the following four equations. a. x = 11 b. x 3 4 = 11 c. x 3 4 = 11 d. x 3 4 = A pub in County Mayo, Ireland, was owned by three brothers. Joseph owned 7/ of the business and Jeremiah owned 1/6. What fraction of the business did Harold, the remaining brother, own? The one who owned the least was Dr. Lyons great grandfather; he came to America in What was the first name of the brother who owned the least? 2

3 8. Divide and write a mixed numeral for the answer: Add and write a mixed numeral for the answer: Simplify and give your answer as a simplified fraction On a placement exam, a student finds the product, 6 5/7 2 4/5 to be 20/35. Do you recommend he take Math 110? What is the proper answer as a mixed numeral? As an improper fraction? 3

4 . Write 8, in words. 13. Round to the nearest tenth: hundredth: thousandth: 14. Add Subtract from Write each of the following two numbers as simplified fractions. a b Write each of the following two fractions as decimals; do not round your answers. a. 3 8 b

5 18. Use < or > for to write a true sentence. Justify your answer with an argument that uses a common denominator /8 19. Solve for the unknown in each problem. a. 0.2 X =44 b X = Find the perimeter and area of a rectangular field that has length 78.9 meters and width 52.7 meters. PERIMETER = AREA = 21. A carpenter s plane removes inches of wood from a board that is 2 inches thick. Find the resulting thickness of the board. 22. How many 0.8 milligram pills can be made from 800 milligrams of the drug? 5

6 23. Simplify the ratio to Find the value for x so that the following two pairs of numbers are proportional. 4, 7 and x, Solve for x = x 26. Solve for x = x If the price for 3 3/4 pounds of apples is $3.30, what is the unit cost? 6

7 28. Suppose you walk at a rate of 352 ft in one minute. At this rate, how many miles would you travel in one hour? (There are 5280 ft in one mile.) 29. The two triangles below are similar. Find x and y x 18 y 30. If air temperature decreases at a rate of 4.5 degrees Fahrenheit with each 1000 ft increase in elevation and it is 102 degrees Fahrenheit at an elevation of 240 ft, what would the temperature be at an elevation of 4700 ft? (Round to the nearest degree.) 31. If 30% of a club s membership is men, and there are 280 women in the club, how many members are in the club? 7

8 32. My gas and electric bill was $5 last month and $175 this month. What is the percent of the increase? 33. In a math class, 15% of the students dropped before the final exam. If 34 students took the final exam, how many students were originally enrolled in the math class? 34. The CA State Tax (of 7 1/4%) on a sweater that I purchased was $8.99. What was the price of the sweater? 35. Jerry wants to work at his part-time job to earn just enough money, so that after all of his payroll deductions, he will have exactly the right amount to buy a stereo that costs $1350 (including tax). How much money (to the nearest cent) will he have to earn, if all of his payroll deductions are figured to be 31% of his total earnings? 36. What is 52% of 4? 8

9 is what percent of 15? 38. What is the percent notation for 5/8? 39. What is the decimal notation for 18 1/4%? 40. What is the fractional notation for 83 1/3%? 9