Q68. - Algebra 1

Question

Translate the sentence “half of p is same as p minus 3” into an equation.

Step-by-Step Solution

Answer

In equation form, the sentence “half of p is same as p minus 3” is written as $\frac{1}{2}p=p-3$.

Step-1. Given information.

Half of p is same as p minus 3.

Step-2. General meaning of the given statement.

In the given statement p is a variable.

Now, “half of p” implies half the value of p, that is, $\frac{1}{2}p$.

Also, p minus 3 implies p is decreased by 3 or 3 is subtracted from p.

In expression form this is written as $p-3$.

Step-3. General meaning of same in an expression.

Generally, while writing an equation same is treated as equal which means same or equal value. The symbolic representation is “=”.

So, half of p is same as p minus 3. implies $\frac{1}{2}p=p-3$.

Hence in equation form, the sentence “half of p is same as p minus 3.” is written as $\frac{1}{2}p=p-3$.