Algebra 1 notes.
Suitable for a strong HL student, and some extra information is there that isn't strictly necessary.
If you want the bare minimum, I have uploaded a 'cheat sheet'.
In this video I go through a typical exam question where a person is on top a cliff and sees a boat in the water. Typically you are given the height of the cliff and the angle of depression to the boat and are asked to calculate how far the boat is from the base of the cliff.
Credit: Patrick Maye
In this video I show you how to solve equations involving surds. Surd equations have a square root in them and the method we use to solve these is to isolate the square root and then square both sides. This may need to be done a number of times depending on how many surds are in the equation.
Credits:
Kevin MacLeod: Carefree
https://incompetech.com/
In this video I show you how to solve three simultaneous equations with three unknowns variables. Suitable for both leaving cert higher level and leaving cert ordinary level.
Credits: Carefree by Kevin McLeod, https://incompetech.com/
In this video I show you how to show an algebraic expression is a factor of a cubic expression by doing long division.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I explain what the factor theorem is and what it is used for. I then show two examples of typical questions where the factor theorem can be used to help find the solution.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I do an example of a linear equation with fractions and brackets/parenthesis in it.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I show you how to add fractions in algebra!
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I show you how to factorise (factorize) using the difference of two squares method. One easy example and one example that is more difficult.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I will show you how to use the difference of two cubes to factorise an algebraic expression.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I show you a couple of basic examples of the sum and difference of two cubes. For more difficult examples follow the links below:
Sum of two cubes: https://www.youtube.com/watch?v=LxEFLelW1Qs
Difference of two cubes: https://www.youtube.com/watch?v=m4qFZpJdDFk
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
In this video I show you a more difficult example of the sum of two cubes.
Credits:
Kevin MacLeod: Who Likes to Party
Kevin MacLeod: Monkeys Spinning Monkeys
Kevin MacLeod: River Valley Breakdown
