Table
of Contents
NUMBERS & OPERATIONS
1.1 The Set of Real
Numbers
..
7
1.2 The Order of
Operations
. 11
1.3
Absolute Value
12
1.4
Prime Numbers
...... 15
1.5
Lowest Common Multiple
.
. 17
1.6
Percent
.... 19
1.7 Greatest Common
Factor
...
.
21
1.8 Fractions
...
.
.
23
1.9 Decimal Numbers
and Rounding
....... 27
Chapter
Review
..
.
29
Glossary
.
..
40
Solutions
.
...
...42
EXPONENTS
& RADICALS
2.1
Perfect Square Numbers
.
45
2.2
Square Roots
..
. 45
2.3
Simplifying Radicals
.
.. 47
2.4
Operations with Radicals
...
49
2.5 Rationalizing
the Denominator
..
56
2.6
The Laws of Exponents
..
61
2.7
Scientific Notation
..
... 70
2.8
Solving Equations
..
72
Chapter
Review
.
. 75
Glossary
.
.
84
Solutions
.
85
POLYNOMIALS
3.1
What is A Polynomial?........................... 94
3.2 Adding
Polynomials
..
. 95
3.3
Expanding Polynomials
.
96
3.4
Special Products
.
.. 103
3.5
Factoring Polynomials
.
107
3.6
Long Division
.
. 120
3.7
Synthetic Division
126
3.8
Rational Expressions
130
3.9
Solving Equations
.
134
3.10
Function Notation
142
Chapter
Review
. 143
Glossary
..
..
152
Solutions
..
.
153
COORDINATE
GEOMETRY
4.1
The Cartesian Coordinate System
.
.164
4.2
The Domain
... 165
4.3
The Range
.. 166
4.4
The Slope of a Line
. 166
4.5
The Equation of a Line
... 170
4.6
Graphing a Line
.. 175
4.7
Distance
..
.. 186
4.8
Midpoint and Endpoints
.
... 192
4.9
Function Notation
.. 195
Chapter
Review
..
201
Glossary
....
.
214
Solutions
215
SEQUENCES
and DATA
5.1
Variation
.
.. 226
5.2
An Arithmetic Sequence
... 230
5.3 A
Sequence as a Function
..235
5.4
Recursive Sequences
. 236
5.5
Arithmetic Series
...
... 238
5.6
Arithmetic Mean
...
241
5.7
Geometric Sequence
.
. 243
5.8
Geometric Series
.
...
247
5.9
A Geometric Mean
247
5.10
Compound Interest
.
... 250
5.11
Dealing with Data
. 257
Chapter
Review
. 260
Glossary
...
.. 271
Solutions
...
. 272
TRIGONOMETRY
6.1
Trigonometric Ratios
...
..
279
6.2
The Property of Pythagoras
.
... 280
6.3
Angles in Standard Position
....
.. 285
6.4
Special Triangles
...
. 293
6.5
Finding Angles
...
294
6.6
The Sine Law
...
.. 298
6.7
The Cosine Law
. 301
6.8
Solving Triangles
...
305
6.9
Applications of Trigonometry
..
.. 307
Glossary
..
..
. 311
Solutions
...
.....
312
GEOMETRY
7.1
An Introduction to Geometry
320
7.2
Lines and Shapes
320
7.3
Platonic Solids
... 329
Solutions
.
330
100
FINAL QUESTIONS
..
332
Solutions
.347