TRANSLATING SIMPLE MATHEMATICAL PHRASES

EXAMPLES:

Translate each of the following phrases into a mathematical expression:

The sum of a number and [beautiful math coming... please be patient] $\,3\,$: | [beautiful math coming... please be patient] $x + 3$ |

The product of a number and [beautiful math coming... please be patient] $\,3\,$: | [beautiful math coming... please be patient] $3x$ |

The sum of two numbers: | [beautiful math coming... please be patient] $x + y$ |

Three times the sum of two numbers: | [beautiful math coming... please be patient] $3(x + y)$ |

Three times a number: | [beautiful math coming... please be patient] $3x$ |

Three less than a number: | [beautiful math coming... please be patient] $x - 3$ |

A number, less [beautiful math coming... please be patient] $\,3\,$: | [beautiful math coming... please be patient] $x - 3$ |

Three more than a number: | [beautiful math coming... please be patient] $x + 3$ |

A number, plus [beautiful math coming... please be patient] $\,3\,$: | [beautiful math coming... please be patient] $x + 3$ |

The square of a number: | [beautiful math coming... please be patient] $x^2$ |

The square of three times a number: | [beautiful math coming... please be patient] $(3x)^2$ |

Three times the square of a number: | [beautiful math coming... please be patient] $3x^2$ |

One-third of a number: | [beautiful math coming... please be patient] $\frac{x}{3}$ or [beautiful math coming... please be patient] $\frac 13 x$ |

One less than [beautiful math coming... please be patient] $\,3\,$ times a number: | [beautiful math coming... please be patient] $3x - 1$ |

Two more than [beautiful math coming... please be patient] $\,5\,$ times a number: | [beautiful math coming... please be patient] $5x + 2$ or [beautiful math coming... please be patient] $2 + 5x$ |

The square of the sum of two numbers: | [beautiful math coming... please be patient] $(x + y)^2$ |

The sum of the squares of two numbers: | [beautiful math coming... please be patient] $x^2 + y^2$ |

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

by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:

Word Problems Involving Perfect Squares

On this exercise, you will not key in your answer.

However, you can check to see if your answer is correct.

However, you can check to see if your answer is correct.