Assignment Instructions

Home Learning Name_____________________
Partition Line Segment and Solve Equations Date_____________ Period___
Follow the directions and show ALL work in your journal!!!! Have fun as you complete this fabulous assignment. (for partitioning problems, DRAW the diagram dude!!)
1. Points J, K, and L are collinear on , and . J is located at (-3, 5), K is located at
(1, -10) and L is located at (x, y). What are the values of x and y?
2. Points M, R, and P are collinear on , and . M is located at (-10, 8), P is located at (-2, 11) and R is located at (x, y). What are the values of x and y?
3. Suppose A, B, and C are collinear on , and A is located at (1, 2), C is located at (6, -1) an B is located at (x, y). What are the coordinates of B?
4. H is the midpoint of P has coordinates (-8, -9) and W has coordinates (-4, 8). Find the coordinates of H.
5. L is the midpoint of M has coordinates (9, -5) and L has coordinates (-9, -4). Find the coordinates of T.
6. O is the midpoint of I has coordinates (-7, 2) and O has coordinates (5, -8). Find the coordinates of U.
7. Points R, J, and W are collinear on , and . R is located at (-5, 1), W is located at (6, 8) and J is located at (x, y). What are the values of x and y?
8. Suppose A, B, and C are collinear on , and A is located at (1, 1), B is located at (4, 1) an C is located at (x, y). What are the coordinates of C?
Solve each equation for the variable. Show ALL work in your journal!!!
9. -7x – 3x + 2 = -8x – 8
10. 5 + 2x = 2x + 6
11. -14 + 6b + 7 – 2b = 1 + 5b
12. -31 – 4x = -5 – 5(1 + 5x)
13. 4(-8x + 5) = -32x – 26
14. -10 + x + 4 – 5 = 7x – 5
15. 7(5a – 4) – 1 = 14 – 8a
16. -6n – 20 = -2n + 4(1 – 3n)
17. 38 + 7k = 8(k + 4)
18. 3(1 – 3x) = 2(-4x + 7)
19. -3(x – 1) + 8(x – 3) = 6x + 7 – 5x
20. 8x + 4(4x – 3) = 4(6x + 4) – 4
Determine if Josh’s parent’s house in Texas is the midpoint between South Carolina and California. Justify your answer.

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