Problem 1 :
The amount of water w, in gallons, left in a tank can be modeled by the equation w = 300 - 5t, where t is the number of hours since the tank started leaking. Which of the following is the best interpretation of the number 5 in the equation?
A) The tank is empty after 5 hours
B) The tank loses 5 gallons of water each hour
C) The tank continues to lose water until 5 gallons are left.
D) Each hour, the tank loses 5 less gallons of water than it did the previous hour.
Solution :
Problem 2 :
3x + ky = 8
x + 4y = -1
If (x, y) is a solution to the system of equations above and k is a constant, what is y in terms of k?
Solution :
Problem 3 :
A car has a gas mileage of 32 miles per gallon when it travels at an average speed of 65 miles per hour. If the car travels for t hours at 65 miles per hour, which of the following expressions represents the amount of gas, in gallons, the car has consumed?
Solution :
Problem 4 :
x2 - x = 4
What are the solutions x to the quadratic equation above?
Solution :
Problem 5 :
If y8 = m and y9 = ⅔, what is the value of y in terms of m?
Solution :
Digital SAT Problems and Solutions (Part - 1)
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