Algebra — Math
This directory groups algebra tools within Math. A mathematical answer should be independent of your country. These tools cover arithmetic, algebra, geometry, fractions and statistics, along with financial mathematics that uses rates you enter yourself. Begin with the quantity you need to find, then check the required units and whether the formula assumes a particular timing convention. A loan-growth example using an entered rate is not a statement about a lender’s current offer.
Start with these tools
Completing the Square Calculator
Rewrite a quadratic in vertex form and calculate its vertex and roots.
Cubic Equation Calculator - 3rd Order Polynomial
Solve a cubic polynomial ax³ + bx² + cx + d = 0 for all real or complex roots.
Diamond Problem Solver
Find two numbers whose product and sum match a diamond problem.
Difference of Two Squares Calculator
Evaluate and factor a² − b².
Dot Product Calculator
Calculate the dot product, vector magnitudes, and angle between two numeric vectors.
For geometry, use the same length unit throughout an example. For statistics, distinguish a population from a sample and check how missing values are handled. Fraction and significant-figure tools answer different questions: an exact numerical value does not by itself tell you the precision of a measurement. The formula notes explain those distinctions. Work through a small example before trusting a large result, keep intermediate precision where possible, and round only for the intended presentation. Saved input links are convenient but are not private storage; anyone receiving a link can inspect the values it contains.
algebra
Completing the Square Calculator
Rewrite a quadratic in vertex form and calculate its vertex and roots.
Cubic Equation Calculator - 3rd Order Polynomial
Solve a cubic polynomial ax³ + bx² + cx + d = 0 for all real or complex roots.
Diamond Problem Solver
Find two numbers whose product and sum match a diamond problem.
Difference of Two Squares Calculator
Evaluate and factor a² − b².
Dot Product Calculator
Calculate the dot product, vector magnitudes, and angle between two numeric vectors.
Exponent Calculator
Calculate the value of a base raised to the power of an exponent.
FOIL Method Calculator
Expand two linear binomials using the FOIL method.
Inverse Trigonometric Functions Calculator
Calculate arcsine, arccosine, or arctangent in degrees and radians.
Logarithm Calculator
Calculate the logarithm of a number with any base.
Math Equation Solver
Solve a linear equation ax + b = c or a quadratic equation ax² + bx + c = 0.
Matrix Calculator
Perform addition, subtraction, and multiplication on 2x2 and 3x3 matrices.
Quadratic Formula Calculator
Find real or complex roots, discriminant, vertex, and axis of symmetry.
Root Calculator
Calculate the nth root of a number.
Simplify Radical Expressions Calculator
Extract perfect powers from a nonnegative integer radical.
Slope Calculator
Calculate line slope from two points, or project a second point from a starting point, distance, and slope or angle.
Frequently asked questions
How do I choose a tool from Algebra — Math?
Start with the quantity you need to solve for, then compare the required inputs and assumptions before entering values.
Are results in Algebra — Math guaranteed?
No. Read the formula, limitations and reference information on the individual calculator. Entered example rates are not current offers or professional advice.
Can I save a calculation from Algebra — Math?
The calculator pages support browser-local project and share controls. Shared links and exported files may contain your inputs.