Science calculators

Algebra & Equations

Solve equations, work with quadratics, factor expressions, and explore functions and proportions.

  1. Algebra & Equations

    Completing the Square

    Rewrite a quadratic in vertex form.

    ax² + bx + c = a(x − h)² + k

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  2. Algebra & Equations

    Direct / Inverse Variation

    Find a variation constant or an unknown.

    Direct: y = kx; inverse: y = k/x

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  3. Algebra & Equations

    Solutions & Discriminant

    Classify the roots of a quadratic.

    D = b² − 4ac

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  4. Algebra & Equations

    Fraction Equation Solver

    Solve a linear equation with fractional coefficients.

    (ax + b) / m = (cx + d) / n

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  5. Algebra & Equations

    Quadratic Formula

    Find real or complex quadratic roots.

    x = (−b ± √(b² − 4ac)) / 2a

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  6. Algebra & Equations

    Vertex Finder

    Find the vertex of a parabola.

    h = −b / 2a; k = f(h)

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  7. Algebra & Equations

    Y-Intercept Finder

    Find b from a line or point and slope.

    Ax + By + C = 0; y-intercept = −C / B

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  8. Algebra & Equations

    Binomial Expander

    Expand a binomial with Pascal coefficients.

    (a + b)ⁿ = Σ C(n,k)aⁿ⁻ᵏbᵏ

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  9. Algebra & Equations

    Evaluate f(x)

    Safely substitute into an algebraic function.

    f(x) → f(value)

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  10. Algebra & Equations

    Proportions Solver

    Solve one unknown in a/b = c/d.

    a / b = c / d ⇒ ad = bc

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  11. Algebra & Equations

    2-Variable Linear System

    Classify and solve a 2×2 system.

    ax + by = c; dx + ey = f

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  12. Algebra & Equations

    Cramer's Rule Solver

    Solve a 2×2 system by determinants.

    x = Dₓ / D; y = Dᵧ / D

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  13. Algebra & Equations

    General Equation Solver

    Solve linear and quadratic polynomial equations.

    ax² + bx + c = 0

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  14. Algebra & Equations

    Factoring Solver

    Factor integer quadratic expressions.

    ax² + bx + c = a(x − r₁)(x − r₂)

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  15. Algebra & Equations

    Point-Slope to Slope-Intercept

    Convert line equation forms.

    y − y₁ = m(x − x₁)

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  16. Algebra & Equations

    3-Variable System Solver

    Gaussian elimination for a 3×3 system.

    [A | b] → RREF([A | b])

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  17. Algebra & Equations

    Stored Function → Y-Intercept

    Evaluate the current function at x=0.

    y-intercept = (0, f(0))

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  18. Algebra & Equations

    Three Points → Parabola

    Fit y=ax²+bx+c through three points.

    y = ax² + bx + c

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  19. Algebra & Equations

    Graphing Inequalities Helper

    Boundary style and shading guidance.

    Ax + By ≶ C

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  20. Algebra & Equations

    Logarithms — Base b

    Evaluate log base b.

    logₑ(x) = ln(x) / ln(b)

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