1)  Number sets (including counting/            
24) Quadratic formula
     natural, whole, integers,
     rational, irrational, and real)                    
25) Complete the square
2)  Field Axioms and Equality Axioms,        
26) Discriminant, significant values
     and definitions of operations                         
and their meanings
3) Absolute value of a perfect square 27) Absolute value
4) Terms (and like terms) 28) Vertical motion formula and problems
5) Factors (and common factors) 29) Order of Operations
6)  Evaluating by substituting values             
30) Multiplication property of zero,
     for variables                                                 
and converse
7)  Transforming and solving                       
31) Open sentence
      equations
8) Additive inverse (opposite) 32) Linear equations
9) +, -, x, / signed numbers 33) Problem solving (traditional and non-traditional)
10) multiply by -1 34) General & standard forms of equations
11) Multiplicative inverse (reciprocal) 35) Set notation
12) Distance formulas, horizontal,                
36) Addition and multiplication
      & vertical                                                    
properties of equality
13) Numerical coefficients 37) Equation of the axis of symmetry
14) Domain, range, and relations 38) Relatively prime
15) Graphics calculator 39) Domain and range of variables
16) Identity, and conditional equations, 40) Polynomials by degree and number
17) Prime numbers 41) Multiplying polynomials, and FOIL
18) Factoring (all kinds) 42) Introduction to Functions
19) Conjugate binomials & difference          
43) Binomial squared & perfect square
      of two squares                                             
trinomial
20) Closure axiom 44) Absolute value equations
21) Quadratic expressions & equations 45) Square root of a product
22) Vertex of parabola (max/min) 46) Equation of the axis of symmetry
23) Factorability checker                             
47) Abscissa & ordinate