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Worksheets1/23 Math 1
Total questions: 25
Worksheet time: 2hrs 24mins
4m2 - 100 = 0
a2 + 2a - 24 = 0
(x+10)(x-2) = 0
x2−11x+18=0
Solve for x
x = 3 and 6
x = -3 and -6
x = -2 and -9
x = 2 and 9
x2−49=0
Solve for x
x = 7
x = -7
x = 49
x = 7 and -7
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform?
.25 ft
24 ft
25 ft
8 ft
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
1.73 seconds
2.24 seconds
2.45 seconds
2.83 seconds
A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t2 + 40t + 10
How many seconds does it take the ball to reach its maximum height?
1.25 seconds
1.4 seconds
2.5 seconds
2 seconds
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
1.73 seconds
2.24 seconds
2.45 seconds
2.83 seconds
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
$6060
$20
$600
$10,250
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
8 seconds
1 second
1/2 second
1/4 second
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80
What will be the object's maximum height?
2 ft
80 ft
144 ft
64 ft
What are the green points called?
y-intercept
x-intercepts
How many solutions does the parabola have?
none
one
two
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. From what height was the balloon released?
2 meters
5 meters
40 meters
20 meters
Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?
2.625
6.25
100
200
210.25
The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x2 + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents
the initial height of the ball
the time at which the ball reaches the ground
the time at which the ball was at its highest point
the maximum height the ball attained when thrown in the air
The height of a water balloon that is launched into the air is given by
h(t) = -5x2+20x+25.
When will the balloon explode on the ground?
5 seconds
1 second
2 seconds
3 seconds
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t
When will the object reach its maximum height?
4 ft
0 seconds
0 ft
4 seconds
Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t2 + 45
When is the ball at ground level?
only at t = 0 seconds
only at t = 3 seconds
only at t = 9 seconds
at both t = 0 seconds and t = 3 seconds
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
10 seconds
64 seconds
960 seconds
2 seconds
