
2. 
Points P, Q, R, S, and T are collinear. If PT = 5PQ, QT = 12, and PQ = QR = RS, find ST.


3. 
Find the distance between the two points. (a) G(6, 6), H(8, 2) (b) M(1, 6), N(8, 3) (c) P(5, 3), Q(6, 8) 

4. 
Two points 2.5 and 5.9 are on a number line. What is the distance, to the nearest tenth, between these two points? 

5. 
Suppose M is between L and N. LM = (1/2y + 2), MN = (3y + 7/2), LN = 40. Find the value of y. 

6. 
Points M, N, and X are collinear and X is between M and N. If MN = 28 and the ratio between MX and NX is 2:5, find the length of _{}. 

7. 
_{} and _{} bisect each other at point E. If AE = 3x  18y + 128, BE = 2x + 20y  96, CE = 9x + 6y  174, and DE = x  13y + 106, what are the values of x and y? 

8. 
Point Q is between points P and R on _{}. If PR = 56, PQ = 6x  282 and RQ = 3x  112, find the value of x. 

9. 
E is the midpoint of _{}. If DE = 3x + 47 and EF = 7x + 15, then DF = ______. 

10. 
Suppose M is between L and N. LM = 5x  12, MN = 2x  7, LN = 6x  13. Find the value of the variable and the lengths of _{}, _{}, and _{}. 
