Subject
Algebra I
Inequalities, functions, exponents, polynomials, and your first quadratics.
Begin at I if you’re new to Algebra I.
Solving Multi-Step Inequalities
Distribute, combine like terms, then isolate x — flipping the symbol when multiplying or dividing by a negative.
Begin →
Compound Inequalities
Solve 'between' inequalities like -3 < x + 2 < 5 by doing the same operation to all three parts at once.
Begin →
Functions: Evaluating
Substitute a value for x in a function's rule and simplify. The foundation of function notation.
Begin →
Exponent Rules
Three rules for same-base exponents: add when multiplying, subtract when dividing, multiply when raising a power.
Begin →
Negative and Zero Exponents
Two more rules: anything to the 0 power is 1, and a negative exponent means take the reciprocal.
Begin →
Scientific Notation
Write numbers in the form a × 10^n with 1 ≤ |a| < 10. Used everywhere in science.
Begin →
Square Roots and Radicals
Find square roots of perfect squares and simplify radicals by pulling out the largest perfect-square factor.
Begin →
Slope from Two Points
Use m = (y₂ − y₁) / (x₂ − x₁) to find the slope between two points.
Begin →
Writing Equations: Slope-Intercept Form
Given two points on a line, write the equation in y = mx + b form.
Begin →
Adding and Subtracting Polynomials
Combine like terms across polynomials. For subtraction, distribute the negative sign across every term first.
Begin →
Multiplying Polynomials (FOIL)
Use FOIL to multiply two binomials. Distribute carefully — sign matters — and combine like terms in the result.
Begin →
Factoring
Three methods: GCF, trinomial factoring (find p and q), and difference of squares. Recognize the form first.
Begin →
Solving Quadratic Equations
Solve by square roots when the equation is x² = k, or by factoring + the zero-product property for full trinomials.
Begin →
Pythagorean Theorem
In a right triangle, a² + b² = c². Use it to find a missing side.
Begin →