PSAT Math Multiple-Choice Practice Test 17

The use of a calculator is not permitted.


In the equation above, what is the value of n ?


Which of the following is equivalent to the expression above?


The figure above shows the graph of f(x). For which value(s) of x does f(x) equal 0?

4. Which of the following systems of inequalities has no solution?

5. At what value(s) of x do the graphs of y = -2 x + 1 and y = 2 x2 + 5 x + 4 intersect?


If line P shown in the graph above is reflected over the x-axis and shifted up 3 units, what is the new y-intercept?

7. Which of the following are roots of the equation 3x2 - 6 x - 5 =0?

8. If , where both m > 0 and n > 0, which of the following gives n in terms of m ?


If (x, y) represents the solution to the system of equations shown above, what is the value of y ?

10. If , which of the following is not a possible value of d ?

11. A business's "break-even point" is the point at which revenue (sales) equals expenses. When a company breaks even, no profit is being made, but the company is not losing any money either. Suppose a manufacturer buys materials for producing a particular item at a cost of $4.85 per unit and has fixed monthly expenses of $11,625 related to this item. The manufacturer sells this particular item to several retailers for $9.50 per unit. How many units must the manufacturer sell per month to reach the break-even point for this item?

12. If , what is the value of 6 x - 5 y ?

13. If f(g(2)) = -1 and f(x) = x + 1, then which of the following could define g(x)?

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