Index

absolute value , 4

Apollonius's circle, 150

arithmetic mean, 11 2

ascending order of degree, 29

associative law, 5

asymptote, 194

axis of parabola, 177

circumcenter, 143

coefficient, 2 7

common divisor, 44

common multiple , 4 4

commutative law , 5

complement, 2 3

complex number, 59

condition fo r parallel straight lines, 137

condition for perpendicular

straight lines , 137

conjugate comple x number, 62

constant term , 29

contrapositive, 11 6

converse, 70

converse of contrapositive, 11 7

convex down, 177

convex up , 177

coordinate, 2

coordinate plane, 127

cosine, 214

cosine theorem, 230

cube root, 82

degree

of integral expression, 28

of monomial , 2 7

denominator, 46

dependent variable, 174

descending order of degree, 29

discriminant, 68

distance between a point and

a straight line , 141

distributive law , 5

dividing point

external, 125

internal, 125

divisible, 41

divisor, 41

domain, 175

double radical, 14

double sign, 34

double solution, 8 9

element, 18

empty set , 2 0

equiil expressions, 28

equation of a circle, 148

equation of a figure, 133

equation of degree n, 82

equivalent implications , 70

expansion, 32

extended ratio, 108

factor, 34

factor theorem, 85

factoring, 34

figure expressed by an equation, 133

fractional expression, 46

fractional function , 193

function, 174

geometric mean, 112

graph, 176

graph of an equation, 133

greater than, 3

greatest common divisor, 44

Heron's formula, 23 3

identity, 103

imaginary number , 6 0

imaginary root, 67

imaginary solution , 6 7

imaginiiry unit , 60

independent variable, 174

indirect proof, 116

integer, 9

integral expression, 28

intersection o f sets, 19

inverse function, 20 4

irrationid function , 197

irrational number, 9

irreducible fractional expression , 46

irreducible integnd expression, 39

law of exponents, 51

least commo n multiple , 44

less than, 3

like terms, 28

linear equation i n three variables, 79

locus, 143

membership i n a set, 18

monomial, 2 7

multiple, 4 1

multiple root , 6 6

multiple solution , 6 6

natural number, 9

necessary and sufficient condition , 70

necessary condition, 70

negation, 114