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Translate each into an algebraic expression:_           1.    Nine less than a certain number__          2.    Thirteen decreased by a number n__           3.    14 more than the product of 9 and t_            4.    Five times the product of d and e_            5.    Thrice the sum of x,y and z__           6.    50 decreased by the product of c and d_             7.    Six times the number x, increased by 10_             8.    The product of 8 and n, increased by the product of q and r            9.     X increased by 10__          10.   7 more than b__          11. Thrice the sum of the number f and 8__          12.   Twice x divided by the difference of x and 1__          13.   6 less than d__         14.  The product of p and 5__         15.  Y decreased by 12

Question

Translate each into an algebraic expression:_           1.    Nine less than a certain number__          2.    Thirteen decreased by a number n__           3.    14 more than the product of 9 and t_            4.    Five times the product of d and e_            5.    Thrice the sum of x,y and z__           6.    50 decreased by the product of c and d_             7.    Six times the number x, increased by 10_             8.    The product of 8 and n, increased by the product of q and r            9.     X increased by 10__          10.   7 more than b__          11. Thrice the sum of the number f and 8__          12.   Twice x divided by the difference of x and 1__          13.   6 less than d__         14.  The product of p and 5__         15.  Y decreased by 12

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Solution

Sure, here are the algebraic expressions for each of the given phrases:

  1. A certain number - 9
  2. 13 - n
  3. 14 + 9t
  4. 5de
  5. 3(x + y + z)
  6. 50 - cd
  7. 6x + 10
  8. 8n + qr
  9. x + 10
  10. b + 7
  11. 3(f + 8)
  12. 2x / (x - 1)
  13. d - 6
  14. 5p
  15. y - 12

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