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Algebraic Expressions

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Question

Write algebraic expression for the following:
When I multiply four-fifth of number $x$ to two-fifth of the sum of numbers $x^{3}$ and $y$ , I obtain $4$ times $c$ subtracted from the sum of $y$ and $x$ .

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Solution

$\frac{4}{3} x + \frac{2}{5} (x^{3} + y) = (y + x) - 4 c$

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Get the algebraicexpressions in the following cases using variables, constants and arithmetic operations.

(i) Subtraction of z from y.

(ii) One-half of the sum of numbers x and y.

(iii) The number z multiplied by itself.

(iv) One-fourth of the product of numbers p and q.

(v) Numbers x and y both squared and added.

(vi) Number 5 added to three times the product of number m and n.

(vii) Product of numbers y and z subtracted from 10.

(viii)Sum of numbers a and b subtracted from their product.

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