What is steel, a mixture compound or element?

Actually it's an alloy.

alloy done some blacksmithing

Most of the answers are missing something. Steel is an alloy, therefore it is a mixture. It is not an element because it is not on the periodic table. It is not a compound because the iron and carbon are not chemically bonded together.

The correct answer would be a mixture. It is not an element, as it is not pure. It is made up of at least two other things (iron and carbon). A compound refers to where the molecular structure has changed, and the elements are chemically bonded together. For example, water contains oxygen and hydrogen but they are bonded into something completely different. Steel is a mixture because the iron and carbon are just mixed in, they do not chemically bond together in any way.

It is a mixture. Pedantically, however, that particular type of mixture is more specifically described as an alloy, being a "homogeneous mixture of two or more elements, at least one of which is a metal, and where the resulting material has metallic properties". If those you quote are the three options you have, use "mixture".

Steel is a mixture of iron and a little bit of carbon to make it stronger.

Steel is an alloy consisting mostly of iron, with a carbon content between 0.2% and 2.04% by weight, depending on grade. Carbon is the most cost-effective alloying material for iron, but various other alloying elements are used such as manganese, chromium, vanadium, and tungsten.[1] Carbon and other elements act as a hardening agent, preventing dislocations in the iron atom crystal lattice from sliding past one another. Varying the amount of alloying elements and form of their presence in the steel (solute elements, precipitated phase) controls qualities such as the hardness, ductility and tensile strength of the resulting steel. Steel with increased carbon content can be made harder and stronger than iron, but is also more brittle. The maximum solubility of carbon in iron (in austenite region) is 2.14% by weight, occurring at 1149 °C; higher concentrations of carbon or lower temperatures will produce cementite. Alloys with higher carbon content than this are known as cast iron because of their lower melting point and castability.[1] Steel is also to be distinguished from wrought iron containing only a very small amount of other elements, but containing 1–3% by weight of slag in the form of particles elongated in one direction, giving the iron a characteristic grain. It is more rust-resistant than steel and welds more easily. It is common today to talk about 'the iron and steel industry' as if it were a single entity, but historically they were separate products.

Steel is an alloy consisting mostly of iron, with a carbon content between 0.2% and 2.04% by weight, depending on grade. Carbon is the most cost-effective alloying material for iron, but various other alloying elements are used such as manganese, chromium, vanadium, and tungsten. Carbon and other elements act as a hardening agent, preventing dislocations in the iron atom crystal lattice from sliding past one another. Varying the amount of alloying elements and form of their presence in the steel (solute elements, precipitated phase) controls qualities such as the hardness, ductility and tensile strength of the resulting steel. Steel with increased carbon content can be made harder and stronger than iron, but is also more brittle. The maximum solubility of carbon in iron (in austenite region) is 2.14% by weight, occurring at 1149 °C; higher concentrations of carbon or lower temperatures will produce cementite. Alloys with higher carbon content than this are known as cast iron because of their lower melting point and castability. Steel is also to be distinguished from wrought iron containing only a very small amount of other elements, but containing 1–3% by weight of slag in the form of particles elongated in one direction, giving the iron a characteristic grain. It is more rust-resistant than steel and welds more easily. It is common today to talk about 'the iron and steel industry' as if it were a single entity, but historically they were separate products.