Mahabir Singh Solutions for Chapter: Algebra, Exercise 3: ACHIEVERS SECTION (HOTS)

Ashima bought $23$ things from the market. She bought five more jeans than shirts and two fewer watches than jeans . If $x$ represents the number of shirts in total, then which mathematical statement can be used to find how many of each thing are bought?

Fill in the Blanks :

i) An expression with a variable, constant and the sign of equality is called an $P$.
ii) $8$ more than $2$ times the number $x$ can be written in algebraic form as $Q$.
iii) An equation is a condition on $R$.

Which of the following equation does not have a solution in integers?

Write ‘$\mathrm{T}$’ for True and ‘$\mathrm{F}$’ for false for each of the following statements:

$\mathrm{P}$. $x=15$ is the solution of the equation $41-x=25$

$\mathrm{Q}.$ An equation is an algebraic expression that involves an "equal to" sign.

$\mathrm{R}.$ $x$ exceeds $y$ by $7$ can be expressed as $x=y+7$

Match the following