Practice Algebra as Structure in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The perspective that algebra is the systematic study of abstract mathematical structures and the operations defined on them.
Beyond numbers: what happens when ANY set has operations with certain properties?
Example 1
mediumShow that addition of integers and multiplication of integers share a structural property (commutativity).
Example 2
hardDoes matrix multiplication have the same structural properties as number multiplication? Check commutativity.
Example 3
easyWhat is the identity element for addition? For multiplication?
Example 4
mediumDoes subtraction have an identity element?