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University of Nottingham
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Building and solving linear equations
The initial activity in this resource asks students to start with x = 6 and write further equations where x = 6 is the solution. For example, subtracting two from both sides of the equation gives
x - 2 = 4
The next step is to use the equation given to build a more complicated one. An example is
3(x – 2) = 12
Having built up complex equations, students then reverse operations to solve them. A number of examples are given of working in this way, together with templates for students to use in creating their own examples.
The work here can be approached at a variety of levels of sophistication. To gain the most from the work requires some familiarity with algebraic operations such as multiplying brackets.
This is a concept development lesson from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. Further information on the collection is given here.
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