Can you please check if my rephrasing is correct? Thank you.

1)Coketown was made of red brick (not bricks). It was full of machinery and tall chimneys, from which smoke coiled up like snakes (I rephrased " "out of which interminable serpents of smoke trailed themselves for ever and ever and never got uncoiled").
2) The action of the piston of the steam engine is compared to the head of an elephant in a state of melancholy madness. This simile, which will be used throughout the novel, emphasizes how Coketown has become like a jungle.
3)It contained several large streets that were all very much like one another, many small streets, a black canal, a purple river and vast piles of buildings.
4)There was a rattling and trembling all day long caused by the action of the piston of the steam-engine.
5) The opening sentence introduces a comparison between Mrs Gradgrind and Coketown.
6)Dickens suggests that Coketown shares similarities with Mrs Gradgrind, who, as her name indicates, is uncompassionate and callous. The description opens with “It was a town of red brick” which suggests that it was quite a modern town, as “red brick” was a popular construction material in Victorian times.
7)“The red brick” also conveys a colourful image of Coketown although Dickens continues to explain how pollution blackens the appearance of Coketown and impacts upon the health of its inhabitants.

Also good!

Sra

1) Your rephrasing is correct. Instead of saying "bricks," you have correctly indicated that Coketown was made of red brick. You have also rephrased the description of smoke coiling up like snakes in a different way, which still maintains the meaning.

2) Your rephrasing is accurate. The comparison of the action of the piston of the steam engine to the head of an elephant in a state of melancholy madness is a simile that highlights the jungle-like atmosphere of Coketown.

3) Your rephrasing is correct. You have successfully described the various elements that Coketown contains, such as large streets, small streets, a black canal, a purple river, and vast piles of buildings.

4) Your rephrasing is accurate. The rattling and trembling that occurs all day long is a result of the actions of the steam-engine piston, as you have stated.

5) Your statement is correct. The opening sentence of the novel does introduce a comparison between Mrs Gradgrind and Coketown.

6) Your explanation of Dickens' suggestion is correct. Dickens implies that Coketown shares similarities with the character Mrs Gradgrind, who is portrayed as uncompassionate and callous through her name. The mention of Coketown as a town of red brick also suggests its modernity, as this was a popular construction material during the Victorian era.

7) Your explanation is accurate. The phrase "the red brick" presents an initial colorful image of Coketown, but Dickens quickly explains how pollution darkens its appearance and adversely affects the health of its residents.