Example 1


Question: \[7\left( {x - 3} \right) = 10 - 2\left( {x + 2} \right)\] Solution:
\(7x - 21 = 10 - 2x - 4\) (line 1)

\(9x = 21 - 4\) (line 2)

\(9x = 37\) (line 3)

\(x = \frac{{37}}{9}\) (line 4)

\(x = 4\frac{1}{9}\) (line 5)
Comments:
  • You open bracket correctly.
    (You expanded correctly for line 1.)
  • You are careless.
    (You are careless at line 3, you have substracted wrongly.)
  • Don’t skip steps.
    (Between line 1 and 2, you should write out the working \(7x + 2x = 10 - 4 + 21\).)
  • You bring over the \(21\) correctly.
    (You bring over the \(21\) correctly in line 2.)
  • Where is the \(10\)?
    (The \(10\) in line 2 is missing in line 3.)
  • It should be \(17\) not \(37\).
    (It should be \(17\) not \(37\) in the 4th line.)
  • Good!
    ("Elaborate why and where it is done well")


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