x Algebra

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Linear Equation

Solve a linear equation of the form ax + b = c for x.

x

Two-Step Equation

Solve equations of the form a(x + b) = c for x.

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Line Equation

Find the slope and y-intercept of a line passing through two points.

m

Slope

Calculate the slope of a line from two points.

b

Y-Intercept

Find the y-intercept when the slope and one point on a line are known.

y=

Line Equation

Find the slope-intercept equation of a line from its slope and one point.

Δ

Discriminant

Calculate the discriminant of ax^2 + bx + c = 0 and identify the root type.

x²

Quadratic Roots

Solve ax² + bx + c = 0 and calculate the real or complex root components.

V

Vertex

Find the vertex and axis of symmetry of a quadratic y = ax² + bx + c.

x=

Axis of Symmetry

Calculate the axis of symmetry of a quadratic y = ax² + bx + c.

P(x)

Polynomial Value

Evaluate a quadratic polynomial ax² + bx + c at a chosen x value.

min/max

Min / Max

Find the minimum or maximum value of a quadratic y = ax² + bx + c.

y=kx

Direct Variation

Find the constant of variation and calculate y for a direct variation y = kx.

y=k/x

Inverse Variation

Find the constant of inverse variation and calculate y for a new x.

x%

Percentage Equation

Find the unknown amount when a percentage relationship is known.