mathinschool.com
numbers and algebraic expressions
logic, sets, intervals
absolute value
function and its properties
linear function
quadratic function
polynomials
rational function
exponential function
logarithm
number sequences
limits of sequences and functions
derivative and integral of functions
trigonometry
plane geometry
analytic geometry
solid geometry
combinatorics
probability
elements of statistics
kropki game

Examples: x^2+3x-5 * 0, -2x^2+4x+2 ≤ 0, x^2-5x ≥ 0, -3x^2+4x+2 * 0. Solving the quadratic inequalities:1. Calculate delta. 2. Find roots if exist. 3. Draw parabola which crosses x-axis in roots: for a * 0 open up, for a * 0 open down. 4. Mark green for signs: * ≤ part of a graph belowe x-axis, * ≥ part of a graph above x-axis. 5. For signs: ≤ ≥ draw full circl in roots, * * draw open circle in roots. 6. Draw interval correspond to green part of a graph. 7. Write solution.