#### Example 2

The following table gives algebraic expressions resulting from statements given.

Statement | Algebraic expression |
---|---|

The product of 7 and x | 7x |

The product of 6, a and b | 6ab |

z is multiplied by 3 and then 4 is subtracted from the result | 3z – 4 |

4 is subtracted from z and then the result is multiplied by 3 | 3(z – 4) |

y is subtracted from the product of x and z | xz – y |

A number x is divided by 6 and then 3 is subtracted from the result | \(\dfrac{x}{6} – 3\) |

11 is subtracted from a number m and then the result is divided by 7 | \(\dfrac{m\ – 11}{7}\) |

A number m is divided by 11, 3 is subtracted from the result, and the result is multiplied by 6 | \(6\Big(\dfrac{m}{11} – 3\Big)\) |