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:	$x^2 + y^2$

Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Word Problems Involving Perfect Squares


Translate the following phrase into a mathematical expression:

(MAX is 36; there are 36 different problem types.)