PSAT Math Multiple-Choice Practice Test 52: Passport to Advanced Math Drill

The use of a calculator is permitted.

1. A car and a truck are initially 180 miles apart and are driving toward each other on a straight road when an observer measures their respective speeds. The car is driving at a constant speed of x miles per hour, and the truck is going twice this speed. If the car and the truck meet each other after three hours of driving, what is the speed of the truck?

2. The formula for the area of a trapezoid is , where B1 and B2 are the bases of the trapezoid and H is its height. If the mean of the bases of the trapezoid is twice the height and if the area of the trapezoid is 72 square inches, what is the trapezoid's height in inches?

3. 2m-2 - 4m-3 is equivalent to which of the ­following?

4. (2y4 + 3x6) + (5x6 + 3y4) is equivalent to which of the following?

5. Which of the following is equivalent to the expression

6. What are the solutions to 21x2 = 15x + 18?

7. The supply for a given item at a varying price p (in dollars) is given by the equation s(p) = 3p + 6p2. The demand for the same item at a varying price p is given by the equation d(p) = 156 - 12p. At what price are the supply and the demand for the item equivalent?

8. If x and y are variables and if c is a nonzero constant, which of the following choices would not necessarily have a y-intercept when graphed?

I. x = c

II. y = -c

III. y = cx

9. Which of the following equations represents the function graphed above?

10. The formula for annual compounded interest is A = P nt, where P is the initial amount invested, A is the future value of the initial amount, r is the annual interest rate expressed as a decimal, n is the number of times the investment is compounded each year, and t is the number of years the amount is invested. If an initial investment, P, is compounded once every 12 months, which expression is equivalent to the future value of the investment if its interest rate is 5% and if the money is invested for exactly 1 year?

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