PSAT Reasoning Student-Produced Responses

Question 1: If f(x) = x + 1, what is the value of x that satisfies f(x²) = f(x) + x²?

Question 2: How many different numbers between 250 and 400 have 2 as the tens digit?

Question 3:   Given 2x + 3y = 7 and y + 5z = 2, find 2x + 6y + 15z.

Question 4:   Given x > 0 and x² = 1/3 + 2 + 2/5 + 19/15, find x.

Question 5:   If line l, described by the equation y = mx + n, is parallel to the x axis and passes through point (5,6), what is n?

Question 6:   Triangle ABC has the average of angles a and b equal to 50^o. What is the value of angle c?

Question 7:   If 15% of x is 45,what is 20% of x?

Question 8:    | 3x - 2 | = 8      | x + 1 | = 1
What value of x satisfies both equations above?

Question 9:   The area of a sector of circle C is one sixth of the area of the circle. What is the radius of the circle if the area of the sector is 6¶ ?

Question 10:   What is the value of (5^{x + 2} - 5^x) / (5^x - 5^{x - 2}) ?

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