Solving Quadratics is FUNtest REVIEW

A farmer has 240 feet of fencing to create a rectangular region next to a barn, he will NOT put fencing along the barn. He will put one partition perpendicular to the barn. He wants the enclosed area to be 4500 square feet. How long should the partition be?

• The partition should be 50 feet or 30 feet.

• The partition should be 50 feet or 90 feet.

• The partition should be 30 feet or 150 feet.

• The partition should be 45 feet or 100 feet.

The combined area of a square and a triangle is 37 square centimeters. The height of the triangle is one centimeter more than twice the side length of the square. The base of the triangle is 5 centimeters more than the side length of the square. What is the height of the triangle?

• The height of the triangle is 3 cm.

• The height of the triangle is 7 cm.

• The height of the triangle is 8 cm.

• The height of the triangle is 4.824 cm.

Three hundred centimeters is used to make a rectangle and 4 parallel partitions. What is the maximum area that can be enclosed?

• The maximum area is 25 square centimeters.

• The maximum area is 50 square centimeters.

• The maximum area is 1875 square centimeters.

• The maximum area is 3750 square centimeters.

A school FUNdraiser is selling bracelets for $2.50. At that price they can sell 400 bracelets. For every $0.05 decrease in price, they sell five more bracelets. What price should they charge in order to maximize revenue?

• They should charge $1.75 to maximize revenue.

• They should charge $3.25 to maximize revenue.

• They should charge $9.75 to maximize revenue.

• They should charge $15 to maximize revenue.

The hypotenuse of a right triangle is 8 inches longer than the shortest leg. The longer leg is 2 inches longer than twice the shortest leg. What is the area of the triangle?

• The area of the triangle is 5 square inches.

• The area of the triangle is 12 square inches.

• The area of the triangle is 13 square inches.

• The area of the triangle is 30 square inches.

The area of one circle is 16pi square inches more than a smaller circle. The radius of one circle is 2 inches more than the radius of the other. What is combined area of both circles?

• The combined area of both circles is 9pi square inches.

• The combined area of both circles is 25pi square inches.

• The combined area of both circles is 34pi square inches.

• The combined area of both circles is 50pi square inches.

A ball is thrown directly up in the air with an initial velocity of 32 feet per second from an initial height of 4 feet.

Over what time interval, in t seconds, is the ball at least 11 feet off the ground?

• t>1

• t<1

• 0.25<t<1.75

• 0<t<0.25

  or

  1.75<t<2.118

A projectile is launched straight up from 19.36 feet off the ground at a speed of 192 feet per second. At what time will the projectile hit the ground?

• The projectile will hit the ground in 6 seconds.

• The projectile will hit the ground in 12.1 seconds.

• The projectile will hit the ground in 12.2 seconds.

• The projectile will hit the ground is 595.36 seconds.