Digital PSAT Math Practie Test 15: Advanced Math

1

A square piece of paper is folded in half n times. If L is the length of an edge, what is the area of the piece of paper after it is folded in half n times?

A.

B.

C.

D.

2

equals

B.

C.

D.

3

Which of the following is equivalent to for x not equal to -2?

4

What relationship must exist between the constants a, b, and c for the equation ax² + bx + c = 0 to have only real solutions?

5

(3x³ - 2x² + 5x + 7) - (x⁴ + x(x + 2)) = ?

6

How many solutions does the following equation have?

7

Out of all possible solutions (x, y) to the pair of equations below, what is the greatest possible product xy that can be obtained?

8

Based on the graph of f(x) above, f(x) is divisible by which of the following expressions?

I. x - 4

II. x + 1

III. x + 3

9

What happens to the vertex (h, k) of y = x² + 3 if the 3 is replaced by a 6 and if x is changed to (x - 5)?

10

If f (x) = g(x) + 4 and if , what is the value of f(10)?