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Separate the constants and variables fro...

Separate the constants and variables from the following :
`-7, 7 + x , 7x + yz, sqrt(5), sqrt(xy), (3yz)/(8), 4.5y - 3x, 8 - 5, 8-5x, 8x - 5y xx p` and `3y^(2)z div 4x`

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To separate the constants and variables from the given expressions, we will analyze each expression and categorize them accordingly. ### Step-by-Step Solution: 1. **Identify Constants and Variables**: - A **constant** is a fixed value that does not change, regardless of the values of other variables. - A **variable** is a symbol that represents an unknown value and can change. 2. **Analyze Each Expression**: - **Expression 1**: `-7` - This is a constant because it does not change. - **Expression 2**: `7 + x` - This is a variable because it changes with the value of `x`. - **Expression 3**: `7x + yz` - This is a variable because it changes with the values of `x`, `y`, and `z`. - **Expression 4**: `sqrt(5)` - This is a constant because it is a fixed numerical value. - **Expression 5**: `sqrt(xy)` - This is a variable because it changes with the values of `x` and `y`. - **Expression 6**: `(3yz)/(8)` - This is a variable because it changes with the values of `y` and `z`. - **Expression 7**: `4.5y - 3x` - This is a variable because it changes with the values of `y` and `x`. - **Expression 8**: `8 - 5` - This simplifies to `3`, which is a constant. - **Expression 9**: `8 - 5x` - This is a variable because it changes with the value of `x`. - **Expression 10**: `8x - 5y * p` - This is a variable because it changes with the values of `x`, `y`, and `p`. - **Expression 11**: `3y^2z / 4x` - This is a variable because it changes with the values of `y`, `z`, and `x`. 3. **Categorize the Results**: - **Constants**: - `-7` - `sqrt(5)` - `3` (from `8 - 5`) - **Variables**: - `7 + x` - `7x + yz` - `sqrt(xy)` - `(3yz)/(8)` - `4.5y - 3x` - `8 - 5x` - `8x - 5y * p` - `3y^2z / 4x` ### Final Result: - **Constants**: `-7`, `sqrt(5)`, `3` - **Variables**: `7 + x`, `7x + yz`, `sqrt(xy)`, `(3yz)/(8)`, `4.5y - 3x`, `8 - 5x`, `8x - 5y * p`, `3y^2z / 4x`
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ICSE-ALGEBRAIC EXPRESSIONS -Exercise 11 (A)
  1. Separate the constants and variables from the following : -7, 7 + x ...

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  2. Write the number of terms in each of the following polynomials : 5x^...

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  3. Write the number of terms in each of the following polynomials : ax ...

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  4. Write the number of terms in each of the following polynomials : ax ...

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  5. Write the number of terms in given polynomial : 23 + a xx b div 2

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  6. Separate monomials, binomials, trinomials and polynomials from the fo...

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  7. Write the degree of each polynomials given below : x y + 7z

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  8. Write the degree of each polynomials given below : x^(2) - 6x^(3) +...

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  9. Write the degree of each polynomials given below : y - 6y^(2) + 5y^(...

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  10. Write the degree of each polynomials given below : xyz - 3

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  11. Write the degree of each polynomials given below : xy + yz^(2) - zx^...

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  12. Write the degree of each polynomials given below : x^(5)y^(7) - 8x^...

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  13. Write the coefficient of : ab in 7abx

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  14. Write the coefficient of : 7a in 7abx

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  15. Write the coefficient of : 5x^(2) in 5x^(2) - 5x

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  16. Write the coefficient of : 8 in a^(2) - 8ax + a

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  17. Write the coefficient of : 4xy in x^(2) - 4xy + y^(2)

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  18. In (5)/(7)xy^(2)z^(3), write the coefficient of : 5

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  19. In (5)/(7)xy^(2)z^(3), write the coefficient of : (5)/(7)

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  20. In (5)/(7)xy^(2)z^(3), write the coefficient of : 5x

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