## Translating Word Phrases to Algebraic Expressions

Once again, all our prior work translating words to algebra transfers to phrases that include both multiplying and dividing integers. Remember that the key word for multiplication is *product* and for division is *quotient*.

## Example

Translate to an algebraic expression and simplify if possible: the product of \(-2\) and \(14.\)

### Solution

The word *product* tells us to multiply.

the product of \(-2\) and \(14\) | |

Translate. | \(\left(-2\right)\left(14\right)\) |

Simplify. | \(-28\) |

## Example

Translate to an algebraic expression and simplify if possible: the quotient of \(-56\) and \(-7.\)

### Solution

The word *quotient* tells us to divide.

the quotient of −56 and −7 | |

Translate. | \(-56÷\left(-7\right)\) |

Simplify. | \(8\) |