Question

Translate each sentence into an equation.

Half of thej minus 5 is the sum of k and 13.

Short answer

The equation of the given statement is $\frac{j}{2}-5=k+13$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ Half of the j minus 5 is the sum of k and 13.’’.

Translate the given sentence into an equation.

Step 2. Translate the equation.

The statement, Half of j minus 5, in algebraic expression can be expressed as

$\frac{j}{2}-5$

And the statement, the sum of k and 13, can be expressed as

.$k+13$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are the same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:$\frac{j}{2}-5=k+13$