Quadratic Formula
algebra
Solves ax² + bx + c = 0 when a is nonzero.
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Quadratic Discriminant
algebra
Determines the number and type of roots of a quadratic equation.
Quadratic Standard Form
algebra
Standard form of a quadratic equation.
Slope Between Two Points
algebra
Measures the change in y per unit change in x.
Slope-Intercept Form
algebra
Describes a line by its slope and y-intercept.
Point-Slope Form
algebra
Describes a line through a known point with a known slope.
Distance Between Two Points
algebra
Finds the straight-line distance between two points in a plane.
Midpoint Formula
algebra
Finds the point halfway between two plane coordinates.
Arithmetic Sequence Term
algebra
Finds the nth term of an arithmetic sequence.
Arithmetic Series Sum
algebra
Finds the sum of the first n terms of an arithmetic sequence.
Geometric Sequence Term
algebra
Finds the nth term of a geometric sequence.
Finite Geometric Series Sum
algebra
Finds a finite geometric-series sum when r is not 1.
Infinite Geometric Series Sum
algebra
Gives an infinite geometric-series sum for |r| < 1.
Exponent Product Rule
algebra
Adds exponents when multiplying equal bases.
Exponent Quotient Rule
algebra
Subtracts exponents when dividing equal nonzero bases.
Power of a Power Rule
algebra
Multiplies exponents when raising a power to another power.
Logarithm Product Rule
algebra
Converts a logarithm of a product into a sum.
Logarithm Quotient Rule
algebra
Converts a logarithm of a quotient into a difference.
Change of Base Formula
algebra
Rewrites a logarithm using a convenient positive base k.
Difference of Squares
algebra
Factors the difference of two squares.
Sum of Cubes
algebra
Factors a sum of two cubes.
Difference of Cubes
algebra
Factors a difference of two cubes.
Perfect Square Trinomial
algebra
Expands the square of a binomial.
Binomial Theorem
algebra
Expands a binomial raised to a nonnegative integer power.
Direct Variation
algebra
Shows y proportional to x through constant k.