Assignment:
Question 1. Subtract. Use borrowing, if necessary.
6526
-2471
Question 2. Round the decimal to the given place value.
6.66 (nearest tenth)
Question 3. Write the fraction.
There are 100 centimeters in a meter. What fractional part of a meter does 7 centimeters represent?
Question 4. Choose the most reasonable measurement for the situation described.
Sam went jogging yesterday. Which would be the most likely measurement for the distance he jogged?
8 m
8cm
8km
8mm
Question 5. Divide, if possible. Write the answer in simplest form.
16/7 ÷ 1/7
Question 6. Determine if the statement is a proportion.
I. 8 dogs = 56 dogs
46 households 322 households
II. 20 weeks = 5 weeks
132.8 sq miles 33.2 sq miles
Question 7.
657
-43
624
Question 8. Solve. Write the answer in simplest form.
Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length) · (width).
A = 5/9 yard
B = 18 yards
Question 9. Toby is taking Ellie out to dinner. He has $ 85.10 to spend. He wants to tip the server 15% of the cost of the meal. How much can he spend on the meal?
Question 10. Colton had a balance of $31 in his checking account. Since then he made deposits of $165, $264 and $396 and wrote checks for $97, $152, $213, and $254. When all of the deposits are recorded and all of the checks clear, what will balance will he have in his checking account?
Question 11. Choose the most reasonable measurement.
What is the most reasonable estimate for the weight of a pebble?
11t
11mg
11g
11kg
Question 12. Perform the conversion. Round to the nearest hundredth when necessary.
6 km to mi
Question 13. Yvonne and Marlena spent three weeks one summer traveling around to different national and state parks. They drove a total of 1186.65 miles and used 40.5 gallons of gas. How many miles per gallon did they get on the trip? Round to the nearest tenth of a gallon.
Question 14. A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
Question 15. Determine if the statement is a proportion.
I. 316 feet = 1581 feet
8 rolls 40 rolls
II. 192 points = 24 points
64 games 8 games
Question 16. Determine if the statement is a proportion.
I. 6 dogs = 18 dogs
27 households 80 households
II. 12 weeks = 3 weeks
121.8 sq. miles 30.2 sq. miles
Question 17. Write the equivalent value.
1 cup = _____ fluid ounces
Question 18. Write the ratio in lowest terms:
4 1/4 pounds to 5 pounds
Question 19. James bought 23/7 gallons of gasoline to fill up his car. Write this as a mixed number.
Question 20. A new car dealership has taken an inventory of the vehicles it has in stock. Below is a histogram indicating the number of vehicles in stock in certain price ranges. Use the histogram to answer the question.
How many vehicles does the dealership have in stock that are priced at $28,000 or more?
Question 21. Solve. Use π ≈ 3.14 and round to the nearest hundredth.
Ellie bought a circular etched-glass tabletop to use as her dining room table. The glass is 18 ft in diameter. Find the cost of the tabletop at $ 96 per square yard of glass.
Question 22. Determine if the statement is a proportion.
I. 1/2 = 5/10
II.
1/6 = 7/42
Question 23. Convert. When necessary, round the answer to two decimal places.
25 yards to feet
Question 24. Determine if the statement is a proportion.
I. (5 (2/3))/6 = 11 (1/3)/14
II. 1 (4/13)/6 = 5 (3/13)/24
Question 25. Write as a rate in simplest form. Express your answer as a fraction.
436 square feet per 36 pounds
Question 26. Determine if the statement is a proportion.
I. 162.9 gallons /17 acres = 488.7 gallons/51 acres
II. 36 hours/276 pages = 6 hours/46 pages
Question 27. Provide an appropriate response.
Which of the following statements is correct?
A meter is slightly shorter than three feet
A foot is slightly shorter than three meters
A meter is slightly longer than three feet
A foot is slightly longer than three meters
Question 28.79 is 20% of what?
Question 29. Write the following as a rate in lowest terms.
$ 228 for 38 bushes
Question 30. Multiply or divide.
216 ÷ ( -9)
Question 31. Write the ratio in lowest terms.
8 : 5
Question 32. Translate the English sentence into an equation using the variables indicated. The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.
Question 33. Provide an appropriate response.
Which of the following statements is correct?
A gallon is slightly less than four liters
A liter is slightly more than four gallons
A gallon is slightly more than four liters
A liter is slightly less than four gallons
Question 34.In a distant solar system the diameter of planet A is 8 times as great as the diameter of planet B. The diameter of planet B is 787 miles. Find the diameter of planet A.
Question 35. Solve for the variable:
18.4 = x - 8.2
Question 36. Check the subtraction. If the subtraction has not been done correctly, find the correct answer.
668
- 422
246
Question 37.
288
82
6687
32
797
+ 1146
Question 38. Write using exponential notation.
14 × 14 × 14 × 14 × 14
Question 39. Jennifer bought 22 quarts of milk for the day care center where she works. Her co-worker Henri, who is from France, says that the center will only need 12 liters of milk. How many extra quarts of milk did Jennifer buy?
Question 40 Multiply:
6020
* 7
Question 41. Simplify by using the order of operations. Round your answer to the nearest hundredth.
33.9 - 9.8 · 2
Question 42. Round to the nearest tenth when necessary.
11.35 pounds/5 kilograms = n pounds/8 kilograms
Question 43. Choose the most reasonable measurement.
Tyrell read the nutrition label on the back of his frozen dinner. Choose the most reasonable estimate for the amount of sodium in the dinner.
480 t
480 kg
480 g
480 mg
Question 44. Choose the most reasonable measurement for the situation described.
Tonya measured the length of her bookshelf. Choose the most reasonable measurement.
Question 45. 8.3% of 5000 is what?
Question 46. Write the answer in simplest form.
In a research study 54,016 people were asked which of three cold remedies they were most likely to use, Remedy A, Remedy B, or Remedy C. It was found that 7/16 of those asked preferred Remedy A. How many of the people asked chose Remedy A?
Question 47. Find the volume. Use π ≈ 3.14. Round to the nearest tenth when necessary.
a rectangular solid with width = 6.4 yd, length = 3 yd, height = 6 yd
Question 48. Determine if the statement is a proportion.
I. 164.3 gallons/13 acres = 657.2 gallons/52 acres
II. 32 hours/328 pages = 4 hours/41 pages
Question 49. Choose the most reasonable measurement.
A cruise line is building a new ship. Choose the most reasonable measurement for its weight.
7000 mg
7000 t
7000 g
7000 kg
Question 50. Solve problems by subtracting whole numbers.
Svetlana is trading her car in on a new car. The new car costs $31,025. Her car is worth $2998. How much more money does she need to buy the new car?
Provide complete and step by step solution for the question and show calculations and use formulas.