IMAT Mathematics: Part 1

Factoring & Simplification: Core algebraic skills include factoring polynomials (e.g., difference of squares $a^2-b^2$, sum/difference of cubes $a^3 \pm b^3$) and simplifying complex rational expressions.

Quadratic Equations & Inequalities: Solve equations ($ax^2+bx+c=0$) by factoring, completing the square, or the quadratic formula. Use the roots as critical points to solve inequalities by testing intervals.

Exponents & Radicals: Understand exponent rules and how to solve equations with variables in the exponent or under a radical. Always check for extraneous solutions in radical equations.