Download scavenger hunt review

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 h(t )  16t 2  v0t  h0 )
( x  y)( x  y)( x 2  y 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  i 15
x
2
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.
y  x 2  3x  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
1
y  0, y   , y 
2
3
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. Find the missing length
A  2 x  13x  15
2
5
y  ( x  4) 2  8
4
L
x+5
7. Given f(x) = 3x2 + 7x – 6, write f(x) in factored
(-5,32)
8. Given the graph of f(x), write the equation of
f(x) in:
a. Factored form
b. Vertex form
90
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)
f ( x)  3( x  5)( x  1)
S ( x)  3 x 2  12 x  15
V ( x)  3( x  2) 2  27
10. Given the graph,
determine which of the
following pairs of zeros
could correspond.
A. -4.76 and 1.76
B. -5.16 and 1.16
C. -2 and -10
D. -6.42 and 2.42
(1,0) (-3,0)
11. Solve the following equation.
0 = 2x2 + 6x + 12
2x + 3
12. Solve the following inequality.
x  5x  6
2
f ( x)  ( x  3)(3x  2)
13. Find the vertex of the following parabola:
y   x2  10 x  7
2 real roots
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.
y  ( x  3)( x  1)
y  ( x  1) 2  4
15. Write the equation of a parabola with a
vertex of (-4, -8) and a y-intercept of 12.
y  16 x( x  3)
16. Find the roots of a parabola:
y  2( x  1)( x  3)
c
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. Find the area of the triangle whose base is
 x  4 and whose height is (2 x  2)
2.03
19. Factor:
x y
4
B
4
20. Factor and solve:
6 y  13 y  5 y  0
3
2
x  24
KEY!
1>18>3>15>6>11>2>20>4>13
7>12>5>17>8>14>9>16>10>19>1