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(from unit 1) 9. write an expression that describes the unknown length …

Question

(from unit 1)

  1. write an expression that describes the unknown length (as indicated by the “?”).

8.5 inches
11 inches
x in
x in
? inches

Explanation:

Step1: Analyze the vertical lengths

The total vertical length on the left - hand side is 8.5 inches. On the right - hand side, there is an unknown length and two segments of length x inches each.

Step2: Set up the equation for vertical lengths

The total vertical length on the left is equal to the sum of the unknown length and 2x. Let the unknown length be y. So, 8.5=y + 2x.

Step3: Solve for the unknown length

We can rewrite the equation to isolate y. y=8.5 - 2x.

Answer:

8.5 - 2x