PSAT Practice Math Algebra

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Martin spent $855 on expenses for a trip.  The expenses included hotel, rental car, and meals. He spent 50% more for the hotel than for the rental car and meals combined.  What did Martin spend on his hotel?

• $570

• $513

• $214

• $155

A tank is completely filled with water.  A pump is used to drain the tank.  The amount of water remaining in the tank is given by the equation y=600-25x, where x is the number of minutes since the pump started and y is the volume, in gallons, of water remaining in the tank.  In the equation, what are the meanings of the numbers 25 and 600?

• The number 25 is the number of minutes it will take to drain the tank, which holds 600 gallons of water.

• The number 25 is the rate of increase, in gallons per minute, of the flow from the tank, which holds 600 gallons of water.

• The number 25 is the rate of increase, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.

• The number 25 is the rate of decrease, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.

y= x-4
4x-4y=12
The system of equations above consists of two equations, and the graph of each equation in the xy-plane is a line.  Which of the following statements is true about these two lines?

• The lines are parallel

• The lines are the same

• The lines are perpendicular

• The lines intersect at (-4, -3)

Louis bought two movies at his local store.  The regular price for each movie was r dollars.  The store charged Louis the regular price for the first movies and gave him a 25 percent discount on the second movie.  He was charged 8 percent sales tax on the entire purchase.  Which of the following expressions gives the total, in dollars, Louis paid, including sales tax?

• 08r + 0.75r

• 08(2(0.75r))

• 08(r + 0.75r)

• 08(r - 0.25r)

The total amount Thad paid for water bottles and cookies was $45.  If the combined cost of one water bottle and one cookie is $2, what is the cost of one cookie?

• $0.75

• $0.91

• $1.09

• $1.25

In the right triangle  above, BE=5, and AB=12.  If the length of AC is 1 unit more than twice the length of DE, what is the length of DE?

• 1/2

• 5/2

• 3

• 4

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