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54                            CHAPTER 2 Introduction to Variables



                             13.  Suppose $6000 is invested in two stocks—Stock A and Stock B. If
                                  x represents the amount invested in Stock A, then the amount
                                  invested in Stock B is
                                                                         x
                                  ðaÞ x   6000     ðbÞ x þ 6000    ðcÞ           ðdÞ 6000   x
                                                                        6000

                                                          10ðx þ 3Þðx   2Þ
                             14.  Reduce to lowest terms:
                                                             15ðx   2Þ
                                      2ðx þ 3Þ                    10ðx þ 3Þ
                                  ðaÞ              ðbÞ 2x    ðcÞ               ðdÞ 2ðx þ 1Þ
                                          3                          15

                             15.  Rewrite as a product of a number and algebraic factor (one with a
                                                x   4
                                  variable in it):
                                                  2
                                                        1               1
                                  ðaÞ 1  ðx   1Þ   ðbÞ   ðx   4Þ    ðcÞ   ðx   2Þ
                                                        2               2
                                  ðdÞ 1  ðx   2Þ



                             Solutions

                              1. (d)      2. (a)      3. (c)      4. (d)
                              5. (b)      6. (c)      7. (d)      8. (c)
                              9. (a)     10. (a)     11. (b)     12.  (c)
                             13.  (d)    14. (a)     15. (b)
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