Answered

1. Three times a number plus 2 is 14,
2. The product of four less than thrice a number and two will result to forty-
six
3. Twice a number minus 1 is 10
4. Seven less the product of three and a number is 1.
5. Two times a number plus 9 equals 89.​

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Translate into an algebraic expression

  1. 3n + 2 = 14
  2. (3n - 4)2 = 46
  3. 2n - 1 = 10
  4. 7 - 3n = 1
  5. 2n + 9 = 89

Finding the value of n

1. 3n + 2 = 14

  • 3n = 14 - 2
  • 3n = 12
  • n = 4

2. (3n - 4)2 = 46

  • 6n - 8 = 46
  • 6n = 46 + 8
  • 6n = 54
  • n = 9

3. 2n - 1 = 10

  • 2n = 10 + 1
  • 2n = 11
  • n = 11/2
  • n = 5.5

4. 7 - 3n = 1

  • -3n = 1 - 7
  • -3n = -6
  • n = 2

5. 2n + 9 = 89

  • 2n = 89 - 9
  • 2n = 80
  • n = 40

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