Adding sums of consecutive integers.
Solving linear equations with variable expressions in the denominators of fractions.
Finding the full price when you know the discount price.
A slightly more involved ratio problem with algebra.
An alternate solution to the advanced ratio problem in the last video.
Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
Introduction to using the quadratic equation to solve 2nd degree polynomials.
2 more examples of solving equations using the quadratic equation.
Even more examples of function exercises. Introduction of a graph as definition of a function.
Proof of the logarithm property: log a + log b = log ab.
Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B).
What are conic sections and why are they called "conic sections"?
Parabola as the locus of all points equidistant from a point and a line.
Algebra word problem involving two bicycles passing each other.
Fun algebra word problem involving a train passing a bike.
Two ways to solve a rational inequality (or an inequality involving a fractional expression).
Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept.
Figuring out the formula for fixed mortgage payments using the sum of a geometric series.