Part 2

CASES IN FACTORING 16, 17

FACTORING 18

HIGHEST COMMON FACTOR AND LOWEST COMMON MULTIPLE 19

FRACTIONS 20

COMPLEX FRACTIONS AND FRACTIONAL EQUATIONS 21, 22

SIMULTANEOUS EQUATIONS AND INVOLUTION 23, 24

SQUARE ROOT 25

THEORY OF EXPONENTS 26-28

RADICALS 29, 30

MISCELLANEOUS EXAMPLES, ALGEBRA TO QUADRATICS 31-35

QUADRATIC EQUATIONS 36, 37

THE THEORY OF QUADRATIC EQUATIONS 38-41

OUTLINE OF SIMULTANEOUS QUADRATICS 42, 43

SIMULTANEOUS QUADRATICS 44

RATIO AND PROPORTION 45, 46

ARITHMETICAL PROGRESSION 47

GEOMETRICAL PROGRESSION 48

THE BINOMIAL THEOREM 49

MISCELLANEOUS EXAMPLES, QUADRATICS AND BEYOND 50-52

PROBLEMS--LINEAR EQUATIONS, SIMULTANEOUS EQUATIONS, QUADRATIC EQUATIONS, SIMULTANEOUS QUADRATICS 53-57

COLLEGE ENTRANCE EXAMINATIONS 58-80

OUTLINE OF ELEMENTARY AND INTERMEDIATE ALGEBRA

~Important Definitions~

Factors; coefficient; exponent; power; base; term; algebraic sum; similar terms; degree; homogeneous expression; linear equation; root of an equation; root of an expression; identity; conditional equation; prime quantity; highest common factor (H. C. F.); lowest common multiple (L. C. M.); involution; evolution; imaginary number; real number; rational; similar radicals; binomial surd; pure quadratic equation; affected quadratic equation; equation in the quadratic form; simultaneous linear equations; simultaneous quadratic equations; discriminant; symmetrical expression; ratio; proportion; fourth proportional; third proportional; mean proportional; arithmetic progression; geometric progression; S [infinity]

~Special Rules for Multiplication and Division~

1. Square of the sum of two quantities. (x + y)^2.

2. Square of the difference of two quantities. (x - y)^2.

3. Product of the sum and difference of two quantities. (s + t)(s - t).