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Tables of Contents for Basic Algebra
Chapter/Section Title
Page #
Page Count
UNIT A
Working with Variables
Using Letters for Numbers
4
4
Parentheses, Order of Operations
8
2
Coefficients and Terms
10
2
Properties of Addition
12
2
Exponents and Factors
14
2
Properties of Multiplication
16
2
The Distributive Property
18
2
Properties of 0
20
2
Properties of 1
22
3
Introduction to Equations
25
2
Introduction to Inequalities
27
11
Solving Equations
Solving Equations by Addition
38
2
Solving Equations by Subtraction
40
2
Solving More Equations
42
4
Equations with More Steps
46
4
A Mind-Reading Trick
50
2
Combining Terms
52
2
Writing Algebraic Expressions
54
4
Applied Problems and Puzzles
58
4
Variable on Both Sides of the Equation
62
2
Equations with Parentheses
64
2
Puzzles
66
12
UNIT B
Positive and Negative Numbers
Positive and Negative Numbers
78
2
Inequalities and Graphs
80
3
Addition
83
2
Subtraction
85
4
Simplifying Expressions
89
2
Multiplication
91
2
Simplifying Expressions
93
2
Division
95
2
Solving Equations
97
2
Absolute Value (Optional)
99
13
Formulas
Perimeter Formulas
112
3
Area Formulas
115
4
Volume Formulas
119
5
Writing Formulas
124
2
Motion Formulas
126
4
Cost and Money Problems
130
4
New Formulas from Old
134
5
Formulas from Mechanics (Optional)
139
13
UNIT C
Working with Polynomials
Addition
152
2
Subtraction
154
2
Multiplying Monomials
156
2
Power of Monomials
158
2
Polynomials Times Monomials
160
2
Multiplying Polynomials
162
2
Multiplying at Sight
164
4
Square of a Binomial
168
2
Division with Monomials
170
2
Exponent Rules (Optional)
172
2
Polynomials Divided by Monomials
174
2
Dividing Polynomials (Optional)
176
10
Factoring
Factoring in Arithmetic
186
2
Common Monomial Factors
188
2
Using Factoring
190
2
Factoring Trinomials--Two Sums
192
4
Factoring Trinomials--Two Differences
196
2
Factoring Trinomial Squares
198
2
Factoring Trinomials
200
4
A Special Product
204
2
Factoring the Difference of Squares
206
2
Many Types of Factoring
208
2
More Difficult Factoring (Optional)
210
14
UNIT D
Graphs
Graphs You Often See
224
4
Graphs with Lines and Curves
228
5
Points on a Graph
233
4
Solution Pairs
237
4
Graphs of Equations
241
2
Slope of a Line
243
2
Functions
245
6
Graphs of Inequalities (Optional)
251
11
Equations with Two Variables
The Graphing Method
262
4
No Solution, Many Solutions
266
4
The Substitution Method
270
2
The Add-or-Subtract Method
272
4
Word Problems, Two Variables
276
4
Using Multiplication
280
2
Cost Problems
282
2
Boat and Aircraft Problems (Optional)
284
14
UNIT E
Working with Fractions
Fractions in Algebra
298
2
Simplifying Fractions
300
2
The -- 1 Factor
302
2
Ratio
304
2
Problems Involving Ratio
306
2
Proportion
308
2
Applying Proportions
310
4
Multiplying Fractions
314
2
Dividing Fractions
316
3
Add, Subtract---Same Denominators
319
2
Renaming Fractions
321
2
Add, Subtract---Different Denominators
323
2
More Difficult Fractions (Optional)
325
2
Equations with Fractions
327
2
Work Problems
329
5
Binomial Denominators (Optional)
334
14
Decimals and Percents
Decimals
348
2
Division with Decimals
350
2
Decimals for Fractions
352
2
Equations with Decimals
354
2
Using Decimal Equations
356
3
Percents
359
4
Using Percents
363
2
Percents in Equations
365
4
Interest
369
2
Investment
371
2
Mixture Problems
373
15
UNIT F
Squares and Square Roots
Square Roots
388
2
Using a Square Root Table
390
2
Irrational Numbers
392
2
Simplifying Square Roots
394
2
Solving Equations
396
2
Law of Pythagoras
398
4
Quotients of Square Roots
402
2
Multiplication and Division
404
2
Rationalizing the Denominator
406
2
Addition, Subtraction
408
2
Radicals and Binomials (Optional)
410
10
Quadratic Equations
Zero Products
420
2
Solving Quadratic Equations
422
2
Solving Quadratic Equations
424
2
Using Square Roots
426
2
Using Square Roots
428
2
The Quadratic Formula
430
4
Problem Solving
434
2
Quadratic Graphs
436
13
Table of Squares
449
1
Table of Square Roots
450
1
Extra Practice Exercises
451
30
Cumulative Reviews
481
11
Appendix A: Solving Inequalities
492
3
Appendix B: Modeling Expressions (using algebra tiles)
495
7
Glossary
502
6
Index
508
 
Answers to Self-Tests
A1
 
Answers to Selected Exercises
A4