MAT 082. Final Exam Review

Transcription

1 MAT 08 Final Exam Review Name Unit I Complete the following without the use of a calculator: 1. Subtract 86 from Round 31,143 to the nearest thousand: 3. For their wedding, Ben and Jen paid $1 for each guest s dinner. The total bill was $1668. How many guests did they have at their wedding? Simplify: 5. Simplify: Unit II Multiply and simplify your answer: Divide and simplify your answer: *8. In a certain city, it was recorded that 15 inches of rain fell over a 4-hour period. How 5 much rain fell per hour on average? Give answer as a whole number or simplified fraction.

2 4 7 5 *9. Add and give answer as a whole number or simplified fraction: *10. Subtract and give answer as a whole number, proper fraction, or mixed number: *11. Use the order of operations to simplify the expression. Write answer as an integer or simplified fraction: Find the area and perimeter of a rectangle with length 6 5 inch and width 1 5 inch. Write answers as a simplified fraction, mixed number, or an integer. Area Perimeter Unit III 13. Round to the nearest tenth: 14. Subtract 9.51 from Multiply: x Multiply: 7.54 x 100

3 17. Simplify and write answer as an integer or decimal: Write the fraction as a decimal: 1 6 Unit IV 19. Subtract: *0. Simplify and give answer as a simplified fraction: Simplify. Give answer as an integer or a fraction: *. Simplify. Give answer as an integer or a fraction: Unit V Complete the following. You may use a calculator on this portion of the review. 3. Evaluate the expression when x = -, y = 4, and z = -. Write an integer or a simplified fraction. x y z 4. Simplify the expression. Use the distributive property to remove the parentheses first. 4n 1 n 3

4 5. Solve. Check your solution: d 6 5 *6. Solve. Write your answer as an integer or a simplified fraction: x Solve the equation: 7x 18 3x 6 *8. Solve the equation. Write your answer as an integer or a simplified fraction: z 3 6z Translate the sentence to an equation. Use x to represent a number. Then solve the equation: The sum of 4, 1, and a number amounts to 19. Translation (do not simplify): The number is. Unit VI 30. Write the ratio as a ratio of whole numbers using simplified fractional notation: 88,000 bytes to 11,000 bytes 31. Write the rate as a unit rate: A hummingbird moves its wings at a rate of 5580 wingbeats per minute. Write this rate in wingbeats per second.

5 3. Find each unit price and decide which is the better buy. Assume that we are comparing different sizes of the same brand. Crackers: $1.39 for 6 ounces $1.69 for 8 ounces The unit price for the 6-ounce package is approximately (round to three decimal places): The unit price for the 8-ounce package is approximately (round to three decimal places): Which is the better buy? 33. For the given proportion, find the unknown number n. Write as an integer or decimal: 7 n Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing water in a ratio of 1 tsp per 30 sq ft of standing water. a. At this rate, how many teaspoons of granules must be used for 630 sq ft? b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used? 35. Write the decimal as a percent: 4.3 *36. Write the percent as a fraction or a mixed number in simplest form: 3.4% *37. Write the fraction as a percent: 1 16

6 *38. Solve. Write answer as an integer or a decimal: 5 1 % of what number is 147? 39. Solve: 1518 is what percent of 300? 40. Approximately 41% of films are rated R. If 880 films were recently rated, how many were rated R? Round to the nearest integer as needed. 41. Find the amount of discount and the sale price: Original Price Discount Rate Amount of Discount Sale Price $350 45% Unit VII 4. Convert 1.59 kg to grams: 1.59 kg = g 43. Convert 4 gal 1 qt to quarts: 4 gal 1 qt = qt *44. Convert and round to the nearest tenth of a degree as necessary: 80 C to degrees Fahrenheit. *45. A metal strip is being installed around a workbench that is 8 feet long and 4 feet wide. If the stripping costs $ per foot, find the total cost of the stripping.

7 *46. Find the area of the geometric figure. Give an exact area and then use 3.14 as an approximation for to approximate the area. Exact Area (write a decimal in terms of ) Approximate Area (Write a decimal rounded to three decimal places) d = 6 in *47. An ice cream cone with a 4-centimeter diameter and 9-centimeter depth is filled exactly level with the top of the cone. Approximate how much ice cream (in cubic centimeters) is in the cone. Use for Find the length of the third side of the right triangle: 9 ft c 1 ft 49. For the given set of numbers, find the mean, the median, and the mode. If necessary, round to one decimal place: 7., 7.8, 7.8, 9., 5.3, 8.7 Mean Median Mode 50. The total amount of land of some particular countries is approximately 73,000,000 square miles. Find the area of Country F. Country A: 5% Country B: 3% Country C: 17% Country D: 17% Country E: 7% Country F: 11%