At what value of x do the graphs of the equations below intersect?

2x – y = 6

5x + 10y = –10

x=

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

The first five terms of a linear sequence are given below. 7 , 12 , 17, 22 , 27 , what is the next term of the sequence?

What is the area of the trapezoid shown ?