Algebra 2 Name:______
LTA: Quadratic Word Problems
Date:______
Do all work neatly in a separate MS Word document. Each solution should have a completed graph/diagram (labels, color, straight lines) and an acceptable algebraic solution. Each problem is worth 10 points for a total of 60. Email me your solutions no later than 12/15.
1. You have a 1200-foot roll of fencing and a large field. You want to make two paddocks by splitting a rectangular enclosure in half. What are the dimensions of the largest such enclosure?
2. A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?
3. The International Space Agency has finally landed a robotic explorer on an extra-solar planet. To demonstrate the crushing weight of gravity on this planet, the camera is aimed at a probe's ground-levelejection portwhich launches a baseball directly upwards at 147 feet per second (ft/s), about the top speed of a professional pitcher. The force due to gravity on this planetis 98 ft/s2. Assuming no winds and that the probe can scurry out of the way in time, how long will it take for the ball to smack back into the surface?
4. An object in launched directly upwardat 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height?
5. The product of two consecutive negative integers is 1122. What are the numbers?
6. You have a 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area?
Algebra 2 Name:______
LTA: Quadratic Word Problems
Date:______
Do all work neatly in a separate MS Word document. Each solution should have a completed graph/diagram (labels, color, straight lines) and an acceptable algebraic solution. Each problem is worth 10 points for a total of 60. Email me your solutions no later than 12/15.
1. You have a 1200-foot roll of fencing and a large field. You want to make two paddocks by splitting a rectangular enclosure in half. What are the dimensions of the largest such enclosure?
2. A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?
3. The International Space Agency has finally landed a robotic explorer on an extra-solar planet. To demonstrate the crushing weight of gravity on this planet, the camera is aimed at a probe's ground-levelejection portwhich launches a baseball directly upwards at 147 feet per second (ft/s), about the top speed of a professional pitcher. The force due to gravity on this planetis 98 ft/s2. Assuming no winds and that the probe can scurry out of the way in time, how long will it take for the ball to smack back into the surface?
4. An object in launched directly upwardat 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height?
5. The product of two consecutive negative integers is 1122. What are the numbers?
6. You have a 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area?