1. 
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 3:4, find the length of _{}. 

2. 
Find the distance between the two points. (a) G(6, 2), H(6, 4) (b) M(5, 7), N(3, 4) (c) P(2, 2), Q(9, 5) 

3. 
Two points 4.7 and 5.7 are on a number line. What is the distance, to the nearest tenth, between these two points? 

4. 
Suppose M is between L and N. LM = (2 1/4y + 2), MN = (3y + 5/2), LN = 134. Find the value of y. 

5. 
Suppose M is between L and N. LM = 3x + 11, MN = 5x  12, LN = 10x  7. Find the value of the variable and the lengths of _{}, _{}, and _{}. 

6. 
_{} and _{} bisect each other at point E. If AE = 5x  2y + 20, BE = 4x + 12y  24, CE = 7x  5y + 7, and DE = 4x  20y + 130, what are the values of x and y? 

7. 
Points P, Q, R, S, and T are collinear. If PT = 6PQ, QT = 15, and PQ = QR = RS, find ST.



9. 
Point Q is between points P and R on _{}. If PR = 60, PQ = 3x  14 and RQ = 4x + 4, find the value of x. 

10. 
E is the midpoint of _{}. If DE = 6x  58 and EF = 44, find the value of x. 
