.Get the algebraic expressions in the following cases using variables, constants and arithmetic operations:

  1. Subtraction of {tex}z{/tex} from {tex}y.{/tex}
  2. One-half of the sum of numbers {tex}x{/tex} and {tex}y.{/tex}
  3. The number {tex}z{/tex} multiplied by itself.
  4. One-fourth of the product of numbers {tex}p{/tex} and {tex}q.{/tex}
  5. Numbers {tex}x{/tex} and {tex}y{/tex} both squared and added.
  6. Number 5 added to three times the product of {tex}m{/tex} and {tex}n.{/tex}
  7. Product of numbers {tex}y{/tex} and {tex}z{/tex} subtracted from 10.
  8. Sum of numbers {tex}a{/tex} and {tex}b{/tex} subtracted from their product.

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