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Each chapter ends with Summary, Review Exercises, and Test Chapter.)
1. Introduction to Algebra: Signed Numbers. Place Value.
Introduction to Signed Numbers.
Adding Integers.
Subtracting Integers.
Problem Solving: Rounding and Estimating.
Multiplying Integers.
Dividing Integers.
Exponents and Order of Operations.
2. Understanding Variables and Solving Equations. Introduction to Variables.
Simplifying Expressions.
Problem Solving Techniques: Equations Using Addition.
Problem Solving Techniques: Equations Using Division.
Problem Solving Techniques: Equations with Several Steps.
Cumulative Review Chapters 1-2.
3. Solving Application Problems. Perimeter.
Area.
Application Problems with One Unknown Quantity.
Application Problems with Two Unknown Quantities.
Cumulative Review Chapters 1-3.
4. Rational Numbers: Positive and Negative Fractions. Introduction to Positive and Negative Fractions.
Writing Fractions in Lowest Terms.
Multiplying and Dividing Signed Fractions.
Adding and Subtracting Signed Fractions.
Problem Solving: Mixed Numbers and Estimating.
Exponents, Order of Operations, and Complex Fractions.
Problem Solving: Equations Containing Fractions.
Geometry Applications: Area and Volume.
Cumulative Review Chapters 1-4.
5. Positive and Negative Decimal Numbers. Reading and Writing Decimal Numbers.
Rounding Decimal Numbers.
Adding and Subtracting Decimal Numbers.
Multiplying Decimal Numbers.
Dividing Decimal Numbers and Order of Operations.
Fractions and Decimals.
Introduction to Statistics: Mean, Median, Mode.
Geometry Applications: Pythagorean Theorem.
Problem Solving: Equations Containing Decimals.
More Geometry Applications: Circles, Cylinders, and Cones.
Cumulative Review Chapters 1-5.
6. Ratio and Proportion. Ratios.
Rates.
Proportions.
Problem Solving with Proportions.
Geometry Applications: Similar Triangles.
Cumulative Review Chapters 1-6.
7. Percent. Basics of Percent.
The Percent Proportions.
The Percent Equation.
Problem Solving with Percent.
Consumer Applications: Sales Tax, Tips, and Discounts.
Problem Solving: Simple and Compound Interest.
Cumulative Review Chapters 1-7.
8. Measurement. The English System.
The Metric System-Length.
The Metric System-Capacity and Mass (Weight).
Problem Solving with Metric Measurement.
Metric-English Conversions and Temperature Formulas.
Cumulative Review Chapters 1-8.
9. Graphs. Reading and Constructing Circle Graphs.
Bar Graphs and Line Graphs.
The Rectangular Coordinate System.
Graphing Linear Equations.
Cumulative Review Chapters 1-9.
R. Whole Numbers Review. Diagnostic Test.
R.1 Addition of Whole Numbers.
R.2 Subtraction of Whole Numbers.
R.3 Multiplications of Whole Numbers.
R.4 Division of Whole Numbers.
Appendixes. Review of Lines and Angles.
Inductive and Deductive Reasoning.
Answers to Selected Exercises. 