1. 1. A person throws a baseball into the air with an initial vertical velocity of 30 feet per second and then lets the ball hits the ground. The ball is released 5 feet above the ground. For how many seconds is the ball in the air? (Use the formula )

2. 2. A city wants to increase the area of a rectangular playground that is 72 feet by 48 feet by adding the same distance x to the length and the width. The new area is to be no more than double the current size. Write and solve an equation to find the maximum value of x.

3. 3. A football was kicked at the beginning of a game
3. A football was kicked at the beginning of a game. The “hang time” of the football was 3 seconds, and it reached a height of 36 feet. Write the quadratic equation in factored form that describes the path of the football.

4. 4. Using the discriminant, determine the number and nature of the roots for each of the following quadratic equation.
x2 – 8x + 14 = 0

5. 5. Using the discriminant, determine the number and nature of the roots for each of the following quadratic equation.
x2 – 8x + 16 = 0 -6 1

6. 6. Find the missing length
x+5

7. 7. Given f(x) = 3x2 + 7x – 6, write f(x) in factored
(-5,32)

8. 8. Given the graph of f(x), write the equation of f(x) in:  
a. Factored form
b. Vertex form 90

9. 9. Given the inequality y > x2 + 7x + 12, which point is a solution
9. Given the inequality y > x2 + 7x + 12, which point is a solution. a. (-3, 0) b. (0, 12) c. (-2, 3) d. (-1,-1)

10. 10. Given the graph, determine which of the following pairs of zeros could correspond.
A and 1.76
B and 1.16
C. -2 and -10
D and 2.42
(1,0) (-3,0)

11. 11. Solve the following equation. 0 = 2x2 + 6x + 12

12. Solve the following inequality.

13. 13. Find the vertex of the following parabola:
2 real roots

14. 14. You have an arched window
14. You have an arched window. You are modeling the arch on a coordinate plane. The bottom of the arch is at (-5,0) and (1,0). The arch is 27 units tall. Write the 3 forms of the Quadratic.

15. 15. Write the equation of a parabola with a vertex of (-4, -8) and a y-intercept of 12.

16. 16. Find the roots of a parabola:c

17. 17. Mr. Jones is making a vegetable garden
17. Mr. Jones is making a vegetable garden. The area needed for each watermelon and its surrounding area is 450 square inches. Mr. Jones is planting them in a rectangular garden that the length is 20 inches less than 3 times its width. Mr. Jones planted 50 plants. What is the width?
1 real root

18. 18. Find the area of the triangle whose base is and whose height is
2.03

19. 19. Factor: B

20. 20. Factor and solve:

21. KEY!
1>18>3>15>6>11>2>20>4>13 7>12>5>17>8>14>9>16>10>19>1