Translating Simple Mathematical Phrases
Examples
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 | $3x^2$ |
| One-third 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 | $x^2 + y^2$ |