# 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 | $x^2 + y^2$ |