Standard Form
Given the equation y=-16x2 + 40x + 20, is there a maximum or a minimum?
Maximum
Solve for x: √(3x+105)+6=15
What is -8?
Given point A(-2,4) is translated up 3 and left 5, what is the new coordinates for A'?
What is (-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?(round to the nearest whole foot)
What is 29 feet?
There are 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(in percent) that both times he pulls a yellow marble out of the bag? (Round to the nearest whole percent)
What is 9%?
Given the function f(x) = -x2 + 6x + 4. What is the vertex?
(3,14)
Simplify √(72x6y3)
What is 6x3y√(2y)?
Given F(5, -3) is reflected across the line y-axis, find the new coordinates for F'.
What is (-5,-3)?
Given a man sights a boat in the water from the top of a lighthouse at an angle of depression of 40°. If the lighthouse is 88 feet tall, how far from the base of the lighthouse is the boat?(round to the nearest whole foot)
What is 74 feet?
Given Samuel has 5 Cokes, 5 Sprites, and 10 Gatorades in a cooler. Samuel opens the cooler and gets a drink. Not liking his drink, he puts it back into the cooler and gets another drink. Find the probability that he pulls a Coke out of the cooler both times.(Simplified fraction)
What is 1/16?
What are the solutions to the following function: f(x)=-11x2 +44x
(0,0) and (4,0)
If taxes on a $10,000 car are $800, how much would a person with a car that costs $7,000 have to pay in taxes?
Given H(-4, -6) is rotated 270 counterclockwise about the origin. Find the new coordinates for H'.
What is (-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?(Round to the nearest whole degree)
What is 44°?
At a Halloween party, there are 6 caramel candies, 8 chocolate candies, and 4 peppermint candies placed in a treat bag. John reaches in the bag to get a treat. Find the probability he will get a caramel or a chocolate? (Decimal form rounded to the nearest thousandth)
What is 0.778?
Given a ball is thrown and its path is measured by h(t) = -1/4t2+4t: How long did it take before the ball hit the ground?
What is 16 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 30 minutes?
What is 8 people?
Given K(4, -5) is dilated by k = 3. Find the new coordinates for K'.
What is (12, -15)
Given a surveyor sights the top of a building at a 35° angle using his instrument that is 4 feet tall. If the is building is 75 feet tall, how far is he standing from the building? (Round to the nearest whole foot)
What is 101 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 a person chosen at random is a male given they like video games. (Simplified fraction form)
What is 2/3?
What are the roots of the following equation:
y = 2x2 - 4x + 10
no roots
Solve: 4(x + 4)1/4 + 3 = 15
What is 77?
Given J(3, -7) is reflected over the y-axis and then rotated 90 counterclockwise. Find the new coordinates for J'.
What is (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 is the top of the tree from its base and how tall was the tree before it broke off?(Round to the nearest tenth)
What is 23.6 feet from the base and what is 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 given they are enrolled in Art.(Round to nearest whole percent)
What is 60%?