Grade 10 Mathematics

Linear systems

The solution to a system is the point—or set of points—that satisfies both equations.

{a_{1} x + b_{1} y = c_{1} a_{2} x + b_{2} y = c_{2}

Two-variable system

Standard, factored, and vertex forms reveal different features of the same parabola.

x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

Quadratic formula

Coordinates make geometric relationships testable with algebra.

M (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})

Midpoint

Trigonometric ratios connect an acute angle with side-length ratios in a right triangle.

sin θ = \frac{opp}{hyp}

Sine ratio

tan θ = \frac{opp}{adj}

Tangent ratio