Rewriting Words as Equations
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
- twice = multiply by 2
- difference = subtract
- 'a number' = let this be x
- is = equals
Solving the Question
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)
To solve for x, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x = [tex]\dfrac{17}{2}[/tex]
Answer
[tex]\dfrac{17}{2}[/tex]
