State whether the following statements are true (T) or false (F):
'One third of a number $x$ added to itself gives $8$ ' can be expressed as $\frac{x}{3} + 8 = x$

True

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False

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Solution

The correct option is B False
Algebric expression:
Given,one third of a number $x$ added to itself gives $8$
So, one third of a number $x$ $= \frac{x}{3}$
Now,one third of a number $x$ added to itself gives $8$ $\Rightarrow \frac{x}{3} + x = 8$
Hence, the given statement is false

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State whether the following statements are true (T) or false (F): 'One third of a number x added to itself gives 8' can be expressed as x3+8=x

The correct option is B FalseAlgebric expression:Given,one third of a number x added to itself gives 8So, one third of a number x=x3Now,one third of a number x added to itself gives 8⇒x3+x=8Hence, the given statement is false

State whether the following statements are true (T) or false (F):
'One third of a number $x$ added to itself gives $8$ ' can be expressed as $\frac{x}{3} + 8 = x$

The correct option is B False
Algebric expression:
Given,one third of a number $x$ added to itself gives $8$
So, one third of a number $x$ $= \frac{x}{3}$
Now,one third of a number $x$ added to itself gives $8$ $\Rightarrow \frac{x}{3} + x = 8$
Hence, the given statement is false