SMO Senior · 2. Equations, systems and word problems
Set up equations from words, remove radicals and absolute values with substitutions and cases, handle powers with a full case analysis, and crack nonlinear systems by subtracting, factoring and bounding.
Translate a word problem into a system and solve it by elimination.
Use substitutions, hidden squares and case splits for radical and absolute-value equations.
Solve exponential and power equations without losing or adding solutions.
Solve symmetric and cyclic nonlinear systems, including a complete Round 2 proof.