Easy Algebra Step-by-Step

242 Index

Fractions (cont.)
algebraic. See Algebraic fractions
categorization of, 4–5, 7
complex, 151–152
cube of, 47–48
cube root of, 37
as exponent, 53–57, 84–85
exponentiation of
with fractions, 54–56
with natural numbers, 47–48
with negative numbers, 51–52, 120
with one, 45
power of a quotient rule, 79
quotient rule for, 75–77, 81
with zero, 49
in linear equations, 158
as monomials, 84–85
on number line, 6
in order of operations, 59
order of operations in, 59
perfect square, 33
in radical simplifying, 39
in rational expressions, 140–150
signed numbers rules, 29–30
simplifying, 120
square root of, 34–35, 41–42
Fraction bars, 29, 58, 59, 151
Functional relationships, 203
Functions, 195–202, 202f

GCF, 121–126, 139–143
General polynomial, 85, 86
Graph of a number, 2, 2f
Graphing method, 210–211
“Greater than” symbol (>), 14t, 159
“Greater than or equal to” symbol (>), 14t, 159
Greatest common factor (GCF), 121–126, 139–143
Grouping symbols
absolute value bars, 15, 36, 58, 60
braces, 58
brackets, 58, 108
constants and, 66
fraction bars, 29, 58, 59, 151
in order of operations
with addition, 35, 119
algebraic expressions, 67–70
with multiplication, 36, 37, 39–42
PEMDAS, 58–62
polynomial expressions, 106–108

parentheses. See Parentheses

purpose of, 58

square root. See Square root symbol

variables and, 66

Horizontal axis, 171, 172f

Independent variables, 197, 198

Index, 38

Inequality symbols, 14t, 120

Inputs (domain value), 197

Integers, 3–5, 3f, 6f

Irrational numbers, 5–6, 6f

Least common denominator (LCD), 148–149, 152

Least common multiple, 158

“Less than” symbol (<), 14t, 159

“Less than or equal to” symbol (<), 14t, 159

Like terms, 87, 88–90

Linear equations

constants in, 154

fractions in, 158

graphing, 184 –188

one-variable, 154–158

point-slope form of, 190–193

sides of, 154

slope y-intercept form of, 184–190

solving two simultaneous, 205–211

tools for solving, 155

two-variable, 159

Linear functions, 201, 202f

Linear inequalities, 159–161

Lines

parallel, 181

perpendicular, 181–182

point-slope equation for, 190–193

properties of, 184

slope of. See Slope of a line

slope y-intercept equation for, 184–190

standard form of equation for, 184

Middle terms, 99–101, 127–128, 131, 133

Midpoint between two points in a plane, 177

Minus sign (–)

in factoring, 124

parentheses and, 71

rules for, 25

in subtraction, 21, 22, 92

terms and, 83–84