Items #1, #2, #3, and #4 … find the equivalent fraction in ...
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|BORDER OF THE SWIMMING POOL -- Multiple-Choice Items |
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|Noel has a swimming pool in the back yard with a narrow walkway around all four sides. She would like to have a wider walkway. |
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|The dimensions of the pool are [L] = 20 feet and [W] = 12 feet. The width of the old walkway is 1.5 feet on all sides of the pool. |
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|Noel will replace the old narrow walkway with a new slate walkway having a width of 3 feet wide on all sides of the pool. |
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|The estimated cost of labor is 3 days at $600 per day which includes removing and discarding old walkway tiles. |
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|The estimated cost of materials is $6.00 per square foot for new bedrock material and slate tiles. |
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|Warm-up items: |
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|What is the area, in square feet, of Noel’s old walkway? |
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|a) 228 b) 192 c) 105 d) 96 |
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|What is the cost, in dollars, of the material needed for Noel’s new walkway? |
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|a) 64 b) 228 c) 384 d) 1368 |
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|Which expression represents the measure of the area, in square feet, of the walkway using the measure of the width as W? |
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|a) (20 + 20 + 12 + 12) x W b) 20 + 20 + 2W + 12 + 12 + 2W |
|c) 2(20 + 2W) × W + 12W + 12W d) (20 + 20 + 12 + 12) x 2W |
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|Which of the following is true? |
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|A. The area of the new walkway is 192 square feet. |
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|B. The estimate of the complete job for the walkway is $3,168. |
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|C. An equation for the pool area [A] with a new walkway width [W] is A = (20 + W) × (12 + W). |
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|D. The area of the new walkway will be twice the area of the old walkway. |
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|OFF-SEASON CRUISE OPTIONS -- Multiple-Choice Items |
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|Jasmine and Werner are planning a cruise in the Fall. The ABC cruise line offered a 40% discount on all fares prior to the winter season rates |
|which take effect on December 15. |
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|They received a coupon from ABC cruise line in August that offers an additional discount of 20% off the price of any cruise. The coupon needs to be|
|redeemed within 1 year. |
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|The XYZ cruise line also offers a discount for off-season cruises, which is 60%, but has no coupon discounts. |
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|Jasmine and Werner have a total budget of $1000 dollars for their cruise. |
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|Warm-up items: |
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|What is the cost of a $1200 cruise on ABC cruise lines in November with discount and coupon? |
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|a) 720 b) 576 c) 408 d) 384 |
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|What is the cost of a $1200 cruise on XYZ cruise lines in November with discount? |
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|a) 480 b) 576 c) 720 d) 960 |
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|Which expression shows the sale cost [SC] of a cruise priced at X dollars on ABC cruise line using the discount coupon? |
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|a) SC = (0.40X) × 0.20 b) SC = (0.60X) × 0.80 |
|c) SC = (0.60X) - 0.80X d) SC = (0.40X) × 0.80 |
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|What is the cost of a $1200 cruise on ABC cruise lines in January using the coupon? |
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|a) 1200 b) 960 c) 720 d) 576 |
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|Which of the following is true? |
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|A. The total discounted cost of $1300-per-person with XYZ cruise lines fits their budget. |
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|B. The sale cost equation for an ABC cruise which originally cost X dollars is C = (0.60X) - 0.20. |
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|C. XYZ cruise discounts are always better than ABC discounts.. |
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|D. ABC can lower sale costs by discounting prices 20% and changing the coupon discount to 40%. |
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|DRIVING TO COLLEGE -- Multiple-Choice Items |
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|Naomi is driving to college in Colorado Springs, Colorado. The trip distance is 220 highway miles on secondary roads with many twists and turns. |
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|Nomi can averages only 45 miles-per-hour [mph] over the length of the trip. |
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|However, the direct airline distance is only 130 miles from her home in Denver. A helicopter pilot can fly at an average speed of 3 |
|miles-per-minute. |
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|Warm-up items: |
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|What is the speed of the helicopter in miles per hour? |
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|a) 150 b) 180 c) 190 d) 225 |
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|What is Naomi’s approximate average speed in feet per minute? |
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|a) 3960 b) 2450 c) 190 d) 75 |
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|Driving at her average speed, approximate Naomi’s travel time, in minutes, for 25 miles of non-stop driving? |
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|a) 33 b) 36 c) 37.5 d) 41 |
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|What percent of the helicopter’s average speed is Naomi’s average driving speed? |
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|a) 20 b) 25 c) 180 d) 400 |
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|Which of the following is true? |
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|A. The helicopter’s average speed is greater than 190 mph. |
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|B. Naomi’s average driving speed is one-fifth of the average speed of the helicopter. |
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|C. If Naomi and the helicopter both leave Denver at the same time, the helicopter will arrive in Colorado Springs more than three hours ahead of |
|Naomi. |
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|D. Driving at her average speed, Naomi’s trip to college takes less than 3 hours. |
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