SAT MATH VIDEOS(Part - 19)

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 = , what is the value of y in terms of m?

Solution :

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