Question

Form the algebraic expression using variables, constants, and arithmetic operator$(+,-,\times ,÷)$

Three-fourths of the variable $x$ multiplied by the difference of $p$ and $q$when $(p<q)$

Answer 1

Formation of algebraic expression:

Three-fourths of $x$

$$\begin{gathered} =\frac{3}{4}ofx \\ =\frac{3}{4}\times x \end{gathered}$$

difference of $p$ and $q$$=(q-p)$ ($\because$$p<q$)

now,

Three-fourths of the variable $x$ multiplied by the difference of $p$ and $q$$=\frac{3}{4}x\times (q-p)$

Hence, the required algebraic expression is $=\frac{3}{4}x\times (q-p)$