SAT prep (Math)

I’m currently gearing up for the dSAT, and this space aims to capture all the knowledge I need to catch up. It’s been a while since I did any kind of maths, so I’ll need to work towards remembering even basic concepts…

From the initial diagnostic test, I’ll need to have a look again at these topics:

• Quadratic equations
  • Understanding the different forms, and how to convert between them (i.e. standard, factored, and vertex)
  • Completing the square, which is something I’ve always kinda struggled with
  • Components of a quadratic equation — that is, given $a{x}^2+bx+c$, what do $a$, $b$, and $c$ signify?
• $n$-degree polynomials
• Basic arithmetic
  • Long division of large numbers (i.e. two numbers greater than 10)
  • Multiplication of large numbers (i.e. two numbers greater than 10)
  • Multiplication of decimals without a calculator
  • Simplifying “common” denominators (e.g. $\frac{a+b}{c-d}-\frac{a+b}{d-c}=\frac{a+b}{c-d}-\frac{a+b}{-1(c-d)}$)
• Geometric formulae
  • Circles — formulae and properties (e.g. sectors)
• Symbols
  • $||$