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: $x^2 + y^2$
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