INTRODUCTION TO ALGEBRA
by Sreedher Sandugula
1. PROPERTIES OF OPERATIONS
1.1. ADDITION
1.1.1. X + Y = Y + X COMMUTATIVE
1.1.2. X + 0 = X IDENTITY
1.1.3. X + (Y+ Z)= (X + Y) + Z
1.2. SUBTRACTION
1.2.1. X - Y ≠ Y - X NOT COMMUTATIVE
1.2.2. X-0= 0
1.3. MULTIPLICATION
1.3.1. XY = YX COMMUTATIVE
1.3.2. X(Y+Z) = XY + XZ DISTRIBUTIVE
1.3.3. X x 1 = X IDENTITY
1.3.4. X x 0 = 0
1.4. DIVISION
1.4.1. X÷ X = 1
1.4.2. X÷1 = X
2. ALGEBRAIC EXPRESSIONS
2.1. POWER OF LITERAL NUMBERS
2.1.1. BASE
2.1.2. POWER
2.2. VARIABLE
2.3. CONSTANT
2.4. COEFFICIENT
2.4.1. NUMERICAL COEFFICIENT
2.5. LIKE TERMS,, UNLIKE TERMS
2.6. NAMES OF EXPRESSIONS
2.6.1. MONOMIAL
2.6.2. BINOMIAL
2.6.3. TRINOMIAL
2.7. OPERATIONS
2.7.1. ADDITION
2.7.2. SUBTRACTION