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Prep2007E2-DS-102

1479813490_58342972a1bec.png

In the coordinate plane above, what is the area of rectangular region MNRS ?

(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).


Prep2007E2-DS-101

1479813436_5834293c0606e.png

In the figure above, lines l1 and l2 are parallel. What is the value of x ?

(1) y = 87
(2) z = 93


Prep2007E2-DS-23

1479813328_583428d0e0091.png

In the table above, is z = 20q ?

(1) q = 3
(2) Each value in the table other than q is equal to the sum of the value immediately above it in the table and the value immediately to its left in the table.


Prep2007E1-DS-217 有讲解

a1 , a2 , a3 , . . . , a15 
In the sequence shown, an = an - 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


Prep2007E1-DS-207

Is y < 2x ?

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


Prep2007E1-DS-190

1479812975_5834276f53471.png

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.


Prep2007E1-DS-187

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

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


Prep2007E1-DS-186

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


Prep2007E1-DS-185

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.


Prep2007E1-DS-181

1479812502_58342596bf266.png

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.


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