1. When 10 is subtracted from the square of a number the result is three times the number. What is the positive solution? 2. The shorter side of a rectangle is 3 less than the longer side. The area is 54 in2. Find the dimensions. 3. The product of two consecutive even integers is 48. Find the integers.

4. The altitude of a triangle is 5 less than its base. The area of the triangle is 42 ft2. Find its base and altitude. 5. Use the vertical motion model = 162 + + , where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height (in feet).

At a basketball game, T-shirts are rolled up into a ball and shot from a "T-shirt cannon" into the crowd. The T-shirts are released from a height of 6 feet with an initial upward velocity of 44 feet per second. If you catch a T-shirt at your seat 30 feet above the court, how long was it in the air before you caught it? Is your answer reasonable? 6. One leg of a right triangle is 1 cm longer than the other leg. The hypotenuse measures 5 cm. Find the measure of each leg if a triangle.