| Chapter |
Topic |
Sections |
| 1 |
Real Numbers |
1.1 Variables and Algebraic
Expressions 1.2 The Real Number
Line 1.3 Comparing and Ordering
Numbers 1.4 Addition on a Number
Line 1.5 Adding Real Numbers 1.6
Subtracting Real Numbers 1.7 Multiplying Real
Numbers 1.8 Dividing Real
Numbers 1.9 Problem Solving Strategy: Select
Appropriate Notation |
| 2 |
Algebraic Expressions |
2.1 Simplifying and Evaluating
Expressions 2.2 Exponents 2.3
Properties of Real Numbers 2.4 Combining Like
Terms 2.5 Simplifying and Evaluating Expressions
with Parentheses 2.6 Translating Phrases to Algebraic
Expressions 2.7 Open Sentences and Solution
Sets 2.8 Translating Word Statements to
Equations 2.9 Problem Solving Strategy:
Account for All Possibilities |
| 3 |
Equations in One Variable |
3.1 Solving Equations: Addition
and Subtraction Properties 3.2 Solving
Equations: Multiplication and Division
Properties 3.3 Solving Equations: More
Than One Property 3.4 Problem Solving
Strategy: Make a Model 3.5 Algebraic
Proof 3.6 Evaluating Formulas
3.7 Problem Solving Strategy: Write an
Equation Problem Solving: Mixed Types |
| 4 |
More Equations in One Variable |
4.1 Solving Equations: Combining
Like Terms 4.2 Solving Equations:
Variable on Both Sides 4.3 Problem
Solving: Consecutive Integers 4.4 Shortcuts in Solving
Equations 4.5 Solving Equations:
Percents 4.6 Problem Solving:
Percents 4.7 Problem Solving:
Mixtures 4.8 Literal Equations
4.9 Problem Solving Strategy: Make a Drawing or
Table 4.10 Problem Solving: Uniform
Motion |
| 5 |
Inequalities in One Variable |
5.1 Graphing Equations and
Inequalities 5.2 Solving Inequalities:
Addition and Subtraction Properties 5.3 Solving
Inequalities: Multiplication and Division
Properties 5.4 Solving Inequalities: More
than One Property 5.5 Combined
Inequalities 5.6 Absolute Value
Equations 5.7 Absolute Value Inequalities
5.8 Problem Solving Strategy: Write an Inequality |
| 6 |
Polynomials |
6.1 Monomials and Multiplying
Monomials 6.2 Dividing Monomials
6.3 Monomials and Exponents 6.4 Negative Exponents
and Scientific Notation 6.5
Polynomials 6.6 Adding and Subtracting
Polynomials 6.7 Multiplying a Polynomial by a
Monomial 6.8 Multiplying
Polynomials 6.9 Multiplying Polynomials:
Special Cases 6.10 Problem Solving Strategy:
Look for a Pattern |
| 7 |
Factoring Polynomials |
7.1Factors and
Exponents 7.2 Monomial Factors of
Polynomials 7.3 Factoring x2
+ bx +c, c.>0 7.4 Factoring x2
+ bx + c, c<0 7.5 Factoring
ax2 + bx +
c 7.6 Factoring: Special
Cases 7.7 Factoring by Grouping
7.8 Factoring Completely 7.9 Solving Polynomial
Equations by Factoring 7.10 Problem Solving
Strategy: Use Polynomial Equations |
| 8 |
Rational Expressions |
8.1 Simplifying Rational
Expressions 8.2 Multiplying Rational
Expressions 8.3 Dividing Rational
Expressions 8.4 Least Common Denominator
(LCD) 8.5 Adding and Subtracting Rational
Expressions 8.6 Mixed Expressions and Complex Rational Expressions 8.7 Dividing
Polynomials 8.8 Ratios and
Proportions 8.9 Solving Rational
Equations 8.10 Problem Solving: Work and
Motion 8.11 Problem Solving Strategy: Solve
a Simpler Problem |
| 9 |
Linear Equations |
9.1 Graphing Ordered
Pairs 9.2 Graphs of Linear
Equations 9.3 Problem Solving Strategy:
Estimate from Graphs 9.4 Slope
9.5 Slope-Intercept From of a Linear Equation 9.6
Equation of a Line 9.7 Linear Inequalities in Two
Variable |
| 10 |
Relations, Functions, and Variation |
10.1 Relations 10.2
Functions and Function Notation 10.3 Linear, Constant,
and Composite Functions 10.4 Direct
Variation 10.5 Inverse Variation 10.6 Problem Solving Strategy:
Use an Appropriate Formula |
| 11 |
Systems of Linear Equations |
11.1 Graphing Systems of Linear
Equations 11.2 The Substitution
Method 11.3 Problem Solving Strategy: Write
a Linear System to Solve a Problem 11.4 The
Addition/Subtraction Method 11.5 The
Multiplication-Addition/Subtraction Method 11.6
Problem Solving: Digit Problems 11.7 Problem
Solving: Age Problems 11.8 Problem
Solving: Money and Mixture Problems 11.9
Problem Solving: Wind and Water Current Problems 11.10
Graphing Systems of Linear Inequalities |
| 12 |
Radicals |
12.1 Square Roots
12.2 Irrational Square Roots 12.3 Decimal Forms of
Rational Numbers 12.4 Simplifying Square
Roots 12.5 Addition and Subtraction of
Radicals 12.6 Multiplication of
Radicals 12.7 Division or
Radicals 12.8 Solving Radical
Equations 12.9 The Pythagorean
Theorem 12.10 The Distance
Formula 12.11 Problem Solving Strategy: Use
Coordinate Geometry |
| 13 |
Quadratic Equations and Funcitons |
13.1 Quadratic Equations with Perfect
Squares 13.2 Completing the Square 13.3 The
Quadratic Formula 13.4 Mixed Practice:
Solving Quadratic Equations by Any Method 13.5 Graphing Quadratic
Functions 13.6 The Discriminant
13.7 Problem Solving Strategy: Use a
Function 13.8 Sum and Product of the Solutions |
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