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Level 268

Modeling Systems of Equations


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xy = 30
The product of two numbers (x & y) is 30.
2x = (1/4)y + 6
Twice some number (x) is 6 more than a quarter of another number (y). Use brackets for any fractions.
d = 800 - 55t
A helicopter is 800 m above ground and is descending at 55 m/min. Write an equation for the helicopter's distance above ground (d) in terms of time (t).
d = 400t
An airplane is taking off from the ground and is ascending at 400 m/min. Write an equation for the airplane's distance above ground (d) in terms of time (t).
x = 0.4 + 7.5t
Jane runs a race at 10 km/h. Her position (x) in km, as a function of time (t) in hr, is represented as
x + y = 120
The sum of two numbers (x & y) is 120.
W = 800 - 30t
A tank holds 800 L of water. If it drains at 30 L/min, write an equation for the amount of water in the tank (W) in terms of time (t).
(1/3)x = (1/2)y - 10
One-third of some number (x) is ten less than half another number (y). Use brackets for any fractions.
L + C + M = 100
Larry (L), Curly (C), and Moe (M) have a combined age of 100 years.
W = 50 + 10t
A 500 L tank contains 50 L of water. If water is added at a rate of 10 L/min, write an equation for the amount of water in the tank (W) in terms of time (t).
Spock
Scissors cuts paper, paper covers rock, rock crushes lizard, lizard poisons ______________________, Spock smashes scissors, scissors decapitates lizard, lizard eats paper, paper disproves Spock, Spock vaporizes rock,
x - y = z
The difference between two numbers (x & y) is z.
2d + 4s = 10.5
The total cost of two drinks and four snacks is $10.50 (i.e. 10.5 dollars). The price of one drink is "d" and the price of one snack is "s".
W = 800 - 0.15t
A tank holds 800 L of water. If it drains at 150 mL/min, write an equation for the amount of water in the tank (W) in L, in terms of time (t).