Algebra 1
Bob makes 6 jack o lanterns per hour, how many hours will it take him to make 38 given that he already started with 2 jack o lanterns.
6 hours
Amy is hanging up Halloween decorations on her 12ft tall house. Leaning a 13ft ladder against the wall so that the top of the ladder touches the top of the house, how far away is the bottom of the ladder from the house?
5 ft
Henry has 12 twix bars, 4 skittles, and 3 sour patch kids in his candy bag. What’s the probability of him getting a sour patch if he reaches into his bag once?
3/19 = 0.158
Victor is growing killer plants in his underground lab. He has calculated that the number of plants will double in 200 minutes. How much time will it take for the population to double eight times?
1600 minutes
Jack earns 54 pieces of chocolate candy per hour and 16 bags of chips per hour trick-or-treating. Jack is trick-or-treating with his friend Jeff who earns 11 bags of chips and 47 pieces of candy per hour. If they combine their loot, how many hours of trick-or-treating will it take for them to collect a total of 640 combined goods.
5 hours
Robert has 2 spherical cauldrons of radius 3, in terms of pi what is their combined surface area?
72𝝅
A vampire accidentally drops a vial of pure "Vampire Elixir" into a batch of Halloween punch. The elixir is highly unstable and breaks down in the punch over time. The amount of elixir remaining, (A(t) (in milligrams), after (t) hours is modeled by the exponential decay function:
A(t)=500(0.84)^{t}
Determine the percentage by which the elixir decays each hour.
16% each hour
A popular trick or treating route was established 3 years ago and can handle 1000 trick or treaters. At the time only 100 trick or treaters used the route. This year 600 trick or treaters use the route. If the number of trick or treaters continues to increase at this linear rate, how many years until the route will become overcrowded?
2.4 years
A ghost is flying up a coordinate grid. It starts at point (3,11) and ends at the point (30,65). What is its slope?
m = 2
Gerald has 2 spherical cauldrons of radius 3, in terms of pi what is their combined volume?
72𝝅
A zombie induced virus spreads among the population of Wolfville following this rational equation: V(x) = (2x-5)/(x-12). At what value is there a vertical asymptote for the function?
x = 12
Abigail built a Halloween decoration with a rectangular top. The width of the tabletop is 3.5 feet less than the length. The tabletop has a surface area of 24.5 square feet. What is the perimeter of the tabletop?
A haunted house’s ticket price increases by $2 each week during October, causing weekly attendance to drop in a linear fashion represented by A(t) = 500 - 40t, where t is the number of weeks since opening. If tickets start at $15 on opening week, find the weekly income in week 4.
$7820
Rebecca has 2 triangular Halloween party signs. Sign A has the side lengths of 12 in, 9in, and 6 in while Sign B has side lengths of 8in, 6in, and 4in. Are the triangles similar, if so what is the scale factor?
Similar by SSS and scale factor is 2/3
A local haunted house designs a new roller coaster called "The Phantom Drop." The coaster's height in feet, h(t), over a specific 6-second thrill section can be modeled by the polynomial function h(t) = - t³ + 6t² + t + 10, where t represents time in seconds (0 ≤ t ≤ 6). Determine at what time t the coaster hits its maximum height during this interval, and find that peak height.
4.08 seconds and 46.04 feet
Carter began trick or treating from his house. He walked 2 miles due east from his house, and then he walked 4 miles in a direction that was 45 degrees east of north. What was his distance from the house, in miles?
5.6 miles
Zombies are spawning in the graveyard based on the following function:
Z(x) = |x^2 - 20x + 91|. Where x>0 and is the amount of hours from the start of the apocalypse. At what value of x do zombies stop spawning?
x = 7
Jonathan has a halloween decoration that forms a triangle with side lengths 13-14-15, what is its area?
84u2
There are 400 students dressed up at school, ¼ of the girls and 1/7 of the boys are dressed up as vampires; 70 students are dressed up as vampires. How many girls in total are dressed up at school?
120 girls
The cost of 3 candy bars and 2 bottles of water is $7. The cost of 2 candy bars and 1 bottle of water is $4. How much is 42 candy bars and 15 bottles of water?
$72