Algebra II
Overview
Advanced algebra — exponent rules, radicals, quadratic equations, parabolas, and complex numbers.
Lessons
Working with Exponents
Master the 6 essential exponent rules — Product, Quotient, Power, Zero, Negative, and Fractional exponents — and apply them to simplify expressions confidently.
Simplifying Radical Expressions
Learn to simplify square roots and higher-index radicals by factoring out perfect squares, adding and subtracting like radicals, and applying the product and quotient rules for radicals.
Understanding the Quadratic Formula
Learn the quadratic formula inside and out — what the discriminant tells you about solutions, how to apply the formula step by step, and why it works for every quadratic equation.
Finding the Vertex of a Parabola
Find the vertex of any parabola using the vertex formula, understand what it means for the graph, and apply it to maximize revenue, minimize costs, and solve real optimization problems.
Introduction to Complex Numbers
Understand imaginary and complex numbers — what they are, how the powers of i cycle, how to add, subtract, and multiply complex numbers, and why electrical engineers use them every day.
Calculators
Algebra II 3 Foundations Active
Completing the Square
Convert a quadratic equation from standard form to vertex form.
Tutorial Ready
Complex Number Calculator
Perform addition, subtraction, multiplication, and division on complex numbers (a + bi).
Tutorial Ready
Discriminant Calculator
Find the discriminant of a quadratic equation and determine the nature of its roots.
Tutorial Ready
Exponent Rules Calculator
Simplify expressions using the Product, Quotient, and Power of a Power rules.
Tutorial Ready
Parabola Vertex Calculator
Find the vertex (h, k) of a parabola given in standard form.
Tutorial Ready
Quadratic Formula Solver
Solves quadratic equations of the form ax² + bx + c = 0.
Tutorial Ready
Radical Simplifier
Simplify square roots and nth roots by finding the largest perfect power factors.
Tutorial Ready