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Write the following expressions in two ways, one with parentheses and one without. For example, can be written .  

  1. A number reduced by , then multiplied by .

    Reducing by means you first need to subtract from a number. Call the unknown number .
    Then you will multiply that value by .

    A number reduced by :

    Then multiplied by :

    Use the Distributive Property to multiply every term inside the parentheses by .

  2. A number increased by , then multiplied by .

    See part (a).

  3. Ten times a number, then add twenty.

    Ten times a number is .
    Then add twenty to that to get:

    Since is a factor of both terms, you can factor out a  to get the following expression:

    Check your answer by using the Distributive Property.