EXTREME
A sub-orbital payload specialist is balancing a 30-unit propellant assembly consisting of Oxygenators, Thermal Regulators, and Kinetic Dampeners. To maintain structural equilibrium, the quantity of Oxygenators must be equal to the number of Kinetic Dampeners. If the total mass of the assembly is 110 kg—with Oxygenators at 3kg each, Thermal Regulators at 5kg each, and Kinetic Dampeners at 4kg each—this is the precise count of each component.
A luxury electric vehicle starts with a full battery of 100 kWh. While driving at a constant highway speed, the car consumes 1 kWh for every 4.2 miles traveled. If the driver arrives at a charging station with exactly 16 kWh of power remaining, how many miles did they drive during this trip?
352.8 miles
You have two car rental offers.
Company A: y = 0.50x + 20
Company B: y = 0.20x + 50
At how many miles is the cost exactly the same for both companies?
100 miles
You are buying a subscription to a movie streaming service. It costs $10 to join (one-time fee) and then $7 per month. If the equation for your total cost is y = 7x + 10 what is the total cost after you have been a member for 6 months?
52 dollars
Tom goes to a store with 0 bananas and 10 dollars, a banana costs 1 dollar, Tom leaves the store with 5 dollars, how many bananas did he buy?
5 bananas
A local sanctuary houses 50 animals consisting of Birds, Mammals, and Reptiles. These animals have a total of 140 legs. If there are exactly as many Reptiles as there are Birds, how many of each animal are in the sanctuary?
A rental company charges a flat insurance fee plus an hourly rate to rent a high-end power tool. You rented the tool for 5 hours and paid $102. Your friend rented the same tool for 9 hours and paid $170. What is the hourly rental rate m and the initial insurance fee b?
Hourly rate $17
The relationship between pressure and depth is given by the equation:
3y - 6x = 45
Find Y if the depth is 12.
Y = 39
You are at a local fair. It costs $5 to enter the gates and $3 for every ride ticket you buy. If the equation for your total spending is y = 3x + 5 how much total money will you spend if you go on 8 rides?
29 dollars
Jimmy has 1 dollar in his bank account before he does chores, after 5 weeks of chores he now has 6 dollars, how much money does he make each week?
1 dollar
A stadium sold 500 tickets for a show, bringing in exactly $10,000. Floor seats cost $40, Balcony seats cost $20, and General Admission cost $15. If the stadium sold the same number of Floor seats and Balcony seats, how many of each were sold?
An antique clock collector notices that a manual winding clock loses time at a constant linear rate. At noon on Monday, the clock is perfectly accurate. By noon on Wednesday (48 hours later), the clock is 12 minutes slow. If the clock is never reset, how many total hours x will have passed from the start when the clock is exactly 45 minutes behind?
180 hours
A balloon's height is tracked at two different times.
At 3 minutes, it is 14 feet high (3, 14)
At 8 minutes, it is 39 feet high (8, 39)
What is the rate of ascent?
5 feet per minute
A coffee shop gives you a $2 discount if you bring your own mug. A large latte costs 6. Find the total cost if you buy 1 latte using your own mug.
You are tracking how much money is in your piggy bank. You start with $10 and save $5 every week. What is the equation
y=5x+10
A café sells three sizes of coffee: Small ($2), Medium ($3), and Large ($5). During the morning rush, they sold 100 coffees and made exactly $300. If they sold twice as many Mediums as Larges, how many of each did they sell?
Two different reservoirs are losing water due to evaporation. Reservoir A starts with 5,000 gallons and loses 15 gallons per day. Reservoir B starts with 4,200 gallons and loses 5 gallons per day. After how many days x will both reservoirs contain the exact same amount of water?
80 days
A custom t-shirt shop charges a setup fee (\(b\)) plus a cost per shirt. You know that 20 shirts cost $215 total. The shop told you the rate is $8.50 per shirt.
Equation: 215 = 8.50(20) + b
What is the setup fee?
45 dollars
A candle is 12 inches tall and shrinks 2 inches every hour it burns. How tall is the candle after burning for 4 hours?
4 inches
A pizza shop charges a flat $4 delivery fee plus $2 per topping added to the pizza. The equation for the total cost is y = 2x + 4. What is the slope
2
A logistics firm must ship 30,000 units using 200 planes. Small planes carry 50 units, Medium 150, and Large 400. If the total fuel cost is $1.2 million—with Small planes costing $2k, Medium $5k, and Large $12k—this is the exact number of each plane type used.
A chemist is cooling a liquid that starts at a temperature of 85°C. After 6 minutes of steady cooling, the temperature has dropped to 58°C. If the cooling continues at this exact same linear rate, what will the temperature of the liquid y be after a total of 15 minutes?
17.5°C
You are ordering pizzas for a group of friends. What is the most amount of pizzas that you can order without going over budget (Each pizza costs $15.) (There is a flat $5 delivery fee.)(Your total budget is $80.)
5 pizzas
In a video game, you start with 500 XP and earn 100 XP for every mission you complete. What is your total XP after completing 7 missions
1,200 XP
A taxi company charges a $3 pickup fee plus $2 for every mile you travel. If you travel 4 miles x =4 use the equation y = 2x + 3 to find the total cost y.
11 dollars