If you want to have algebra for the purpose of education rather than for testing who is smartest, algebra that all children pass. You can do that by sticking to the simple principles of algebra. That is focus on the one rule and drill it into the students for years. The one rule is that you need to do the same thing to both sides of the equation. Algebra can be made both easy and useful. Leave the factoring of quadratic equations for the college bound such things are useless to 99% of people anyway.