Vinay Sharma and H K Thakur Solutions for Chapter: Algebra, Exercise 3: SELF PRACTICE 11.3

If one-third of the sum of the numbers $x$ and $y$ can be expressed as $\frac{x+y}{k}$, then find the value of $k$.

Write the following using numbers, literal numbers and arithmetic operations: $6$ times a number $x$.

Write an expression for the number $3$ more than $y$.

Write a number which is $6$ less than $x$.

If $5$ is added to $x$, it becomes $z$, then $z=.......$

If $3$ is subtracted from $x$, it becomes $z$. Write $z$ in terms of $x$.

Write the following using numbers, literal numbers and signs of basic operations.
The diameter of a circle is twice its radius.

Write the equation for the statement, where $A, l$ and $b$ represents area, length and breadth respectively.
The area of a rectangle is the product of its length and breadth.