a₁ , a₂ , a₃ , . . . , a₁₅ 
In the sequence shown, a_n = a_{n - 1} + k, where ~$2\leq n\leq 15$~ and k is a nonzero constant. How many of the terms in the sequence are greater than 10 ?

(1) a₁ = 24
(2) a₈ = 10

Is y < 2x ?

(1) ~$\frac{y}{4}< \frac{x}{2}$~
(2) ~$\frac{y-2x}{3}<0$~

On the number line shown, is zero halfway between r and s ?

(1) s is to the right of zero.
(2) The distance between t and r is the same as the distance between t and -s.

If x, y, and z are integers greater than 1, what is the value of x + y + z ?

(1) xyz = 70
(2) ~$\frac{x}{y^{z}}=\frac{7}{10}$~

If 0 < x < y, what is the value of ~$\frac{\left ( x+y \right )^{2}}{\left ( x-y \right )^{2}}$~ ?

(1) x² + y² = 3xy
(2) xy = 3

Is x between 0 and 1 ?

(1) x is between ~$-\frac{1}{2}$~ and ~$\frac{3}{2}$~.
(2) ~$\frac{3}{4}$~ is ~$\frac{1}{4}$~ more than x.

In the figure shown, what is the value of x ?

(1) The length of line segment QR is equal to the length of line segment RS.
(2) The length of line segment ST is equal to the length of line segment TU.

Are x and y both positive?

(1) 2x – 2y = 1

(2) ~$\frac{x}{y}$~ > 1

A manufacturer conducted a survey to determine how many people buy products P and Q. What fraction of the people surveyed said that they buy neither product P nor product Q ?

(1) ~$\frac{1}{3}$~ of the people surveyed said that they buy product P but not product Q.

(2) ~$\frac{1}{2}$~ of the people surveyed said that they buy product Q.

In the xy-plane, what is the y-intercept of line l

(1) The slope of line l is 3 times its y-intercept.
(2) The x-intercept of line l is ~$-\frac{1}{3}$~ .