What is the perimeter of the figure to the right if x = 1?
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<h2>Rewriting Words as Equations</h2>
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
- <em>twice</em> = multiply by 2
- <em>difference</em> = subtract
- <em>'a number'</em> = let this be <em>x</em>
- <em>is</em> = equals
We're given:
- Twice the difference of a number and 6 is 5
⇒ twice = (2 ×)
⇒ difference of a number and 6 = (x - 6)
⇒ is 5 = ( = 5)
- ⇒ 2(x-6) = 5
To solve for <em>x</em>, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x =