If G is the midpoint of FH p, find FG

Question

11x - 7. 3x + 9

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f. G H

Answer 1

Answer 2

Here the question is testing if you know the definition of midpoint. Meaning it cuts the length exactly in half, so each half is equal. Based on that, you set both sides equal to each other and solve for x.

11x - 7 = 3x + 9

1. Get the x's on one side of the equation (by adding or subtracting them away; same to both sides)
2. 11x -7 (+7) = 3x + 9 +7
3. 11x -3x = 3x (-3x) + 16

1. Then divide by any multiplier to get x by itself.
2. 8x = 16
3. x = 2