Segment Addition Worksheet

Name: _______ Date: _

Notebook Section: Homework and Class work.

For each of the following, draw and label an appropriate picture then solve. Show all of your work. If your work is not shown you will need to re-complete the assignment.

1) P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.

2) Q, A, and D are collinear with D between A and Q. If AQ = 15x -31, QD = 4x + 6, and DA = 3x -5, solve for QD.

3) N, W, and K are collinear with N between W and K. If NK = 13x + 6, WK = 18x + 135, and NW = 16x -14, solve for WK.

4) Y, U, and J are collinear with Y between U and J. If YJ = 3x + 12, UJ = -7x + 211, and YU = 16x + 17, solve for YJ.

5) T, G, L, and K are collinear with T between G and K, and L between T and K. If KL = 10x + 2, TL = 10x + 4, GK = 10x + 264, and TG = 10x -2, solve for GK.

6) M, R, and Q are collinear with M between R and Q. If MQ = 4x + 9, RQ = 15x -5, and MR = 9x, solve for x

7) B, C, and S are collinear with B between C and S. If BS = -x + 18, CS = 8x + 62, and BC = 14x + 14, solve for BS.

8) D, J, and V are collinear with V between J and D. If JD = -8x + 322, DV = 13x -16, and VJ = 4x -12, solve for JD.

9) G, W, and N are collinear with N between W and G. If WG = -17x + 356, GN = 2x + 1, and NW = 9x + 19, solve for the largest segment part.

10) S, G, and P are collinear with G between P and S. If GS = 9x + 10, SP = 10x + 155, and GP = 14x -11, solve for SP.

11) T, Y, and C are collinear with Y between C and T. If YT = 16x + 12, TC = -3x + 338, and YC = 4x -19, solve for the entire segment.

12) C, N, and A are collinear with A between N and C. If NC = 2x + 496, CA = 16x + 16, and AN = 11x + 5, solve for CA.

13) Z, H, and E are collinear with E between H and Z. If HZ = 12x -6, ZE = -3x + 15, and EH = 4x + 12, solve for the smallest segment.

14) L, J, and F are collinear with F between J and L. If JL = 2x, LF = 2x -4, and FJ = 7x -10, solve for FJ.

15) R, B, and N are collinear with R between B and N. If RN = 11x + 6, BN = -14x + 136, and RB = 15x + 10, solve for RB.