Page 55 - Math Course 1 (Book 2)
P. 55

Solving Linear Equations




               No Solutions or Identity                           Standardized Test Example
                       1                     8
                 Solve     (21c – 56) = 3 (c –       )             Find the value of x so that the f gures have the
                       7                     3                     same area.
                 A. true for all values of c
                                                                   A. 1
                 B. no solution                                    B. 2
                                                                   C. 3
                 C.  1                                             D. 4
                   3
                 D. 0


                  Answer                                             Answer



















                  Skill Practice!




                Justify each step.

               1.          4k – 3 = 2k + 5                         2. 2(8u + 2) = 3(2u – 7)
                   4k – 3 – 2k = 2k + 5 – 2k  a.
                            2k – 3 = 5   b.                          16u + 4 = 6u – 21     a.
                      2k – 3 + 3 = 5 + 3  c.
                                    2k = 8  d.                   16u + 4 – 6u = 6u – 21 – 6u  b.
                                         e.
                        2k       8                                     10u + 4 = –21       c.
                             =
                        2        2
                           k = 4         f.                         10u + 4 – 4 = –21 – 4  d.

                                                                         10u = –25         e.

                                                                       10u      –25
                                                                             =             f.
                                                                        10      10

                                                                         u = –2.5          g.














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