Hi Salem,

In this example you are joining the fitness center for a number of months and you want to know what it will cost. When writing an algebraic equation you need to say what the letters represent. Let $m$ be the number of months you plan to belong to the fitness center and $c$ is the cost of this membership in dollars.

If you only join for 1 month ($m = 1$) then the cost will be $\$25 + \$30 = \$55.$

If you join for 2 months ($m = 2$) you will need to pay the $\$25$ fee twice and the registration fee once so the cost will be $2 \times \$25 + \$30 = \$80$.

If you join for 3 months you will need to pay the $\$25$ fee three times and the registration fee once. What is the value of $m?$ What will the cost be?

If you join for 6 months you will need to pay the $\$25$ fee six times and the registration fee once. What is the value of $m?$ What will the cost be?

If you join for $m$ months you will need to pay the $\$25$ fee $m$ times and the registration fee once. What will the cost be?

This is the expression you are looking for.

Write back if you need more assistance,
Penny