Algebra II Accelerated
Quadratic Equations & Inequalities
Day 5 Homework
Name: ____________________________________________
Period: ________ Date: ___________________________
Quadratic Word Problems WS #2
1. A football thrown by a quarterback follows a path given by h(x) = -0.0095x2 + x + 7, where h is the height of the
ball in feet and x is the horizontal distance the ball has traveled in feet. If any height less than 10 feet can be caught
or knocked down, at what distances from the quarterback can the ball be knocked down?
2. A tour manager for Fun Tours plans a trip for the Mustang Seniors to the Fiji Islands and determines that the
profit P for x persons is P(x) = -40x2 +1920x – 3200. The owner thinks the company should
make at least $15,000 profit on this tour. How many people will it take for the tour to happen?
3. The product of two consecutive negative integers is 1122. What are the numbers?
4. The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches. Find the
dimensions of the rectangle.
5. The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter
leg. Find the length of the shorter leg.
Solve each algebraically.
6. x2 + x + 23 > 11
7. x2 – 2x < 15
Graph each quadratic inequality.
8.
9.
What are the critical values of the following inequalities?
10. x2 – 49 > 0
11. x2 + x + 3 < 9