EXPLANATION:
Given;
We are given the price of a video game system plus a 9% sales tax.
Required;
We are required to find an algebraic expression to represent the above condition.
Step-by-step solution;
The price is yet unknown. Therefore let the price be represented by x.
Also the sales tax is given as 9% which in decimal would be 0.09, that is;
[tex]9\%=\frac{9}{100}=0.09[/tex]The price plus the sales tax therefore would be;
[tex]\begin{gathered} Price=x \\ Sales\text{ }tax=0.09\times x \\ Sales\text{ }tax=0.09x \end{gathered}[/tex][tex]Price+sales\text{ }tax=x+0.09x[/tex]ANSWER:
[tex]x+0.09x[/tex]