244 Index
Numbers
complex, 163, 167
integers, 3–5, 3f, 6f
irrational, 5–6, 6f
natural. See Natural numbers
opposite. See Opposite numbers
perfect cubes, 36, 102
perfect squares. See Perfect squares
rational. See Rational numbers
real. See Real numbers
as variables, 64
whole. See Whole numbers
Number lines
absolute value on, 15, 15f
in Cartesian coordinate plane, 171, 172f
decimals on, 6
e on, 8
fractions on, 6
graph of a number on, 2, 14
integers on, 3–4, 3f
natural numbers on, 1, 1f
negative numbers on, 3–4, 3f, 6, 15, 160f
opposite numbers on, 2–4, 3f
pi on, 6
positive numbers on, 3–4, 3f, 6, 160f
real numbers on, 6, 6f, 8
square root on, 6
whole numbers on, 2, 2f, 3–4, 3f
Numerical coeffi cient. See Coeffi cients
One
categorization of
as integer, 3
as multiplicative identity, 10
as natural number, 1
as perfect cube, 36
as perfect square, 33
as rational number, 4
as whole number, 2
as coeffi cient, 65
cube root of, 36–37
as exponent, 45, 95
exponentiation of, 48, 49
in factoring, 122–126
as GCF, 142
multiplication by, 10
in slope y-intercept equation, 185 –186
square root of, 33
in x-y T-table, 185
One-variable linear equations, 154–158
Opposite numbers
as additive inverse, 10–11
categorization of, 3
in elimination method, 208–210
in factoring, 123–125
on number line, 2–4, 3f
in subtraction, 21–25, 92–93
Opposite symbol (–), 25, 71
Ordered pairs
determining, 173, 173f
equa l, 173 –174
function set of, 195–196, 201
points. See Points
written order of, 171
zero in, 174
Origin, 171, 172f, 191
Outputs (range value), 197Parallel lines, 181
Parentheses
minus sign and, 71
in multiplication, 8, 58, 144
with negative numbers, 25, 58, 67, 176, 178
opposite symbol and, 71
in order of operations
in algebraic expressions, 67–72
within brackets, 108
in exponential expression, 48, 59
in PEMDAS, 58–62
in polynomial expressions, 106–108
in subtraction, 147
Partial products, 99–101
PEMDAS, 60–63
Percent, 4
Perfect cubes, 36, 102
Perfect squares
defi nition of, 33
multiplying, 102
principal square roots list, 33
in radical simplifying, 39–42
trinomial, 133 –134
Perpendicular lines, 181–182
Pi (π), 6, 65, 66
Plus sign (+), 8, 70, 83
Points
choice of, 193
coordinates of. See Coordinates
determining, 173, 173f