SOLUTION: Can you help me on these things? (And the steps) - One fifth the sum of 7 times a number and 10 is: - Three times a number is divided by 7: - x is reduced by a factor of 12: -

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Question 415735: Can you help me on these things? (And the steps)
- One fifth the sum of 7 times a number and 10 is:
- Three times a number is divided by 7:
- x is reduced by a factor of 12:
- The sum of a number and two thirds of its opposite is:
- The total of a number and its reciprocal is:


If you dont have time, that's okay.. I'm just aksing so I could understood this lesson and not have any doubt on it anymore..
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: In order to 'use the words' and translate them into an algebraic Expression:

the important 1st Step is to let "x" represent the "unknown" amongst the words,  

which is  "a number" in these particular examples:

- One fifth the sum of 7 times 'a number' and 10 is: 1/5(7x+10)

- Three times 'a number' is divided by 7: 3x/7

- x is reduced by a factor of 12: (1,2,3,4,6 and 12 being the factors of 12)

 x-1, x-2, x-3, x-4, x-6, x -12 are among the algebraic expressions described

- The sum of 'a number' and two thirds of its opposite is:  x + 2/3(-x)

- The total of 'a number' and its reciprocal is:  x + 1/x