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The translations for each sentence are listed below:

  1. x + 5 = 2
  2. y - 3 = 9
  3. 6 - x = y
  4. 5 · x - 6 = - y
  5. 2 · t < y
  6. 5 · x · y = z
  7. x + y < x - y
  8. 2 · (a + b) = 15
  9. 3 · (x - 5) > y

How to translate English sentences into algebraic language

Herein we find nine sentences that must be translated in terms of algebraic expressions, that is, combinations of constants, variables and operators. Now we proceed to present the result of each case:

  1. The sum of x and 5 is 2:
    Constants: 5, 2
    Variables: 2
    Operators: +, =
    x + 5 = 2
  2. The sum of y and - 3 is 9:
    Constants: - 3, 9
    Variables: y
    Operators: +, =
    y + (- 3) = 9
    y - 3 = 9
  3. The difference of 6 and x is y:
    Constants: 6
    Variables: x, y
    Operators: -, =
    6 - x = y
  4. The difference of five times x and 6 is - y:
    Constants: 5, 6
    Variables: x, y
    Operators: ·, -, =
    5 · x - 6 = - y
  5. The product of t and 2 is less than y:
    Constants: 2
    Variables: t, y
    Operators: ·, <
    2 · t < y
  6. The product of 5 · x and y is equal to:
    Constants: 5
    Variables: x, y, z
    Operators: ·, =
    5 · x · y = z
  7. The sum of x and y is less than the difference of x and y:
    Constants: N/A
    Variables: x, y
    Operators: +, -, <
    x + y < x - y
  8. Twice the sum of a and b is 15:
    Constants: 2, 15
    Variables: a, b
    Operators: +, ·, (, ), =
    2 · (a + b) = 15
  9. Three times the difference of x and 5 is more than y:
    Constants: 5, 3
    Variables: x, y
    Operators: ·, -, >
    3 · (x - 5) > y

To learn more on algebraic equations: https://brainly.com/question/12881721

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