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They are useful in situation with many variables and can create useful digital images and can represent how a system or process works or.... all of the above....
Variables may be used for a number of different purposes. They may be used to generalise mathematical statements or to model a system of equations to solve.
It is algebra.
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The type of Mathletics that uses letters instead of numbers is called algebra. Algebra is a branch of mathematics that uses symbols and letters to represent numbers and describe mathematical relationships and operations. It allows for solving equations and expressing patterns and equations in a general form.