Taylor Johnson, Math Teacher
MTH 150 - Introduction
Home MTH 150 Homework	The left margin indexes topics discussed in the introduction to MTH 150. Press Home to return to the initial page. Press MTH 150 to return to the index page for the course MTH 150 Homework notes: The following example shows how to present homework problems. This dramatic problem may encourage students to examine how to arrange the steps of an argument and to examine the steps to find flaws in the argument. All problems of simplification of expressions or solving of equations are amenable to this procedure. Write the problem and partition the paper below the problem with a vertical line. Use the left side to write the changes produced in the previous step. Use the right side to give a reason to support the change, such as a property or a definition. The use of the caret (^) symbol indicates the following character is a power. Study this example:         The problem:  Show that 1 = 2. ---------------------------------------------------------------------------------------- Step                               |   Reason ---------------------------------------------------------------------------------------- a = b = 1                        |    Given a^2 = ab                         |   Multiply both sides of equation by a a^2 - b^2 = ab - b^2        |   Subtract b^2 from both sides (a+b)(a-b) = b(a-b)          |   Factor both sides (a+b) = b                        |   Divide both sides of equation by (a-b) 1+1 = 1                          |   Substitute 1 for both a and b 2 = 1                              |   Simplify Use this form to present homework problems that simplify expressions or solve equations.