Write an inequality to represent the phrase: The sum of a number and 7 is no more than 53.

Sum means add

a number=x

7=7

is no more than, means is equal to or less than aka <

53=53

x+7<53

n+7≤53

The sum of a number, which I have named 'n', and 7 can be written as the expression:

n+7

remember the word 'is' in a written problem indicates where you'll most likely use an =,≥,≤ sign. Since they say that it is 'no more than' we know that n+7 is less than or equal to the given number, so we use '≤'.

n+7≤

the number it is less than or equal to is 53, so now we have the completed inequality of:

n+7≤53