Page 135 - Basic College Mathematics with Early Integers
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112                            C HAPTE R 2 I INTEGERS AND INTRODUCTION TO VARIABLES

        PRACTICE 6                       Example 6     Write each as an algebraic expression. Use  x to represent
        Write each as an algebraic                     “a number.”
        expression. Use x to represent
        “a number.”                     a. 7 increased by a number.
        a. Twice a number.              b. 15 decreased by a number.
        b. 8 increased by a number.     c. The product of 2 and a number.
        c. 10 minus a number.           d. The quotient of a number and 5.
        d. 10 subtracted from a number.  e. 2 subtracted from a number.
        e. The quotient of a number     Solution:
          and 16.
                                        a. In words:  7   increased by  a number
                                           Translate:  7      +           x


                                        b. In words:  15   decreased by  a number
                                           Translate:  15       -           x


                                                        The product
                                        c. In words:
                                                            of

                                                      2    and       a number
                                                             T
                                           Translate:  2     #          x       or 2x


                                                               The quotient
                                        d. In words:
                                                                   of

                                                      a number     and    5
                                                                    T              x
                                           Translate:     x         ,     5     or
                                                                                   5

                                                              subtracted
                                        e. In words:   2                    a number
                                                                from

                                                                 ∂
                                           Translate:  x Î       -          Î  2

                                          Work Practice 6






                                        Remember that order is important when subtracting. Study the order of numbers
                                        and variables below.
                                              Phrase                       Translation

                                              a number decreased by 5        x - 5
                                              a number subtracted from 5     5 - x                                  Copyright 2012 Pearson Education, Inc.

        Answers
        6. a. 2x  b. 8 + x  c. 10 - x
                          x
        d. x - 10  e. x , 16 or
                         16
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