Quadratics
Given a ball is thrown in the air and its equation is h(t) = -16t2 + 40t + 20, how high was the platform that the ball was thrown from?
20 feet
Solve: (x-2)1/3 + 4 = 6
10
Given point A(-2,4) is translated up 3 and left 5, what is the new coordinates for A'?
(-7, 7)
Given a ladder is leaning against a building that is 50 feet tall at an angle of elevation of 60. How far away is the base of the ladder from the building?
28.9 feet
Given 4 blue marbles, 5 yellow, and 8 red were placed in a bag. If James pulls out a marble and then puts it back, what is the probability that both times he pulls a yellow marble out of the bag?
8.7%
Given a diver is diving from a platform into the water and his path is measured h(t) = -16t2 + 30t + 40. What is the maximum height of the diver?
54 feet
Simplify (72x6y8)1/3
2x2y2 (9y2)1/3
Given F(5, -3) is reflected across the line y=x, find the new coordinates for F'.
(-3,5)
Given a man sights a boat in the water from the top of a lighthouse at an angle of depression of 40. If the boat is 70 feet away from the lighthouse, how tall is the lighthouse?
58.7 feet
Given Samuel has 5 Cokes, 6 Sprite, and 10 gatorades in a cooler. Samuel opens the cooler and gets a drink out. Not liking his drink, he puts it back into the cooler and gets another drink. Find the probability that he pulls a gatorade out of the cooler both times.
21.4%
Given there is a July 4th celebration where the path of fireworks follows the equation h(t) =-16t2 +50t. How many seconds did it take for the fireworks to reach its maximum height?
1.6 seconds
Solve: 4(x + 4)1/4 + 3 = 15
77
Given H(-4, -6) is rotated 270 counterclockwise about the origin. Find the new coordinates for H'.
(-6, 4)
Given a person is flying a kite and the length of the string is 50 feet. If the kite is 35 feet in the air, what is the angle of elevation the kite string makes with the ground?
44
At a Halloween party, there is 6 caramel candy bars, 8 hershey candy bars, and 4 apples placed in a treat bag. John reaches in the bag to get a treat. Find the probability he will get a hershey candy bar or an apple?
66.7%
Given a ball is thrown and its path is measured by h(t) =-16t2 + 60t + 10. How long did it take before the ball hit the ground?
3.9 seconds
If it takes 7 hours for 4 bakers to bake cookies, how many people are needed to bake the same amount of cookies in 3 hours and 45 minutes?
8 people
Given K(4, -5) is dilated by k = 2/3. Find the new coordinates for K'.
(8/3, -10/3)
Given a surveyor sights the top of a building at a 35 angle using his instrument that is 4.5 feet tall. If the is building is 75 feet tall, how far is he standing from the building?
100.7 feet
A total of 25 females and 25 males were surveyed about their preference about playing video games or playing sports. 5 females liked video games while 15 males liked sports. Find the probability that you are a male or you liked video games.
60%
Given the equation y = 2x2 - 4x + 10, find p and q in the formula y = 2(x-p)2 +q.
p = 1 and q = 8
If taxes on a $250,000 house are $2800, how much would a person with a house that cost $70,000 have to pay in taxes?
$784
Given J(3, -7) is reflected over the y-axis and then rotated 90 counterclockwise. Find the new coordinates for J'.
(7,-3)
Given a tree broke off at a point 12 feet up from the bottom of its base. The top of the tree made a 27 angle with the ground. How far was the top of the tree from its base and how tall was the tree before it broke off?
23.6 feet from the base and 38.4 feet tall
Freshmen and Sophomores were surveyed about taking Art or PE in a given semester. Out of 220 Freshmen, 67 are enrolled in Art and out of 170 Sophomores, 70 were enrolled in PE. Find the probability of a student being a sophomore or a student enrolled in Art.
60.8%