Translate each of the following phrases into a mathematical expression:
The sum of a number and $\,3\,$:  $x + 3$ 
The product of a number and $\,3\,$:  $3x$ 
The sum of two numbers:  $x + y$ 
Three times the sum of two numbers:  $3(x + y)$ 
Three times a number:  $3x$ 
Three less than a number:  $x  3$ 
A number, less $\,3\,$:  $x  3$ 
Three more than a number:  $x + 3$ 
A number, plus $\,3\,$:  $x + 3$ 
The square of a number:  $x^2$ 
The square of three times a number:  $(3x)^2$ 
Three times the square of a number:  $3x^2$ 
Onethird of a number:  $\frac{x}{3}$ or $\frac 13 x$ 
One less than $\,3\,$ times a number:  $3x  1$ 
Two more than $\,5\,$ times a number:  $5x + 2$ or $2 + 5x$ 
The square of the sum of two numbers:  $(x + y)^2$ 
The sum of the squares of two numbers:  $x^2 + y^2$ 
CONCEPT QUESTIONS EXERCISE:
On this exercise, you will not key in your answer.However, you can check to see if your answer is correct. 
PROBLEM TYPES:
