What translates to “7 increased by the quotient of 35 and a number

7 increased by ... 7+

so, increased by what?
quotient of 35 and a number ... 35/x

To translate the phrase "7 increased by the quotient of 35 and a number" into an algebraic expression, you can break it down into the following steps:

Step 1: Identify the unknown number: Let's denote the unknown number as 'x'.

Step 2: Determine the quotient of 35 and 'x': This can be represented as 35/x.

Step 3: Add 7 to the quotient from step 2: This can be expressed as 7 + (35/x).

Now, combining all three steps, the algebraic expression that translates to "7 increased by the quotient of 35 and a number" is:

7 + (35/x)