M5 - Mastery

Compound interest

A = P (1 + r)^n

Interest is added to the total each period, so it grows exponentially.

Inequalities

Solve like an equation, but reverse the sign when multiplying or dividing by a negative.

Systems of linear equations

Two equations, two unknowns: eliminate one variable by adding or substituting.

Function notation

f(x) = ...

A function gives exactly one output for each input.

Linear and affine functions

y = mx + c

m is the slope (steepness), c is the y-intercept.

Slope between two points

m = (y2 - y1) / (x2 - x1)

The slope measures the change in y for each unit of x.