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Pre-Algebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, MATHLEAGUE, and the AMC 8.Â
The text is written to challenge students at a much deeper level than a traditional middle school pre-algebra course.
The text is written to challenge students at a much deeper level than a traditional middle school pre-algebra course.
Chapters and Topics
 1 Properties of Arithmetic
1.1 Why Start with Arithmetic?
1.2 Addition
1.3 Multiplication
1.4 Negation
1.5 Subtraction
1.6 Reciprocals
1.7 Division
1.8 Summary
Review Problems
Challenge Problems
2 Exponents
2.1 Squares
2.2 Higher Exponents
2.3 Zero as an Exponent
2.4 Negative Exponents
2.5 Summary
Review Problems
Challenge Problems
3 Number Theory
3.1 Multiples
3.2 Divisibility Tests
3.3 Prime Numbers
3.4 Prime Factorization
3.5 Least Common Multiple
3.6 Divisors
3.7 Greatest Common Divisor
3.8 Summary
Review Problems
Challenge Problems
4 Fractions
4.1 What is a Fraction?
4.2 Multiplying Fractions
4.3 Dividing by a Fraction
4.4 Raising Fractions to Powers
4.5 Simplest Form of a Fraction
4.6 Comparing Fractions
4.7 Adding and Subtracting Fractions
4.8 Mixed Numbers
4.9 Summary
Review Problems
Challenge Problems
5 Equations & Inequalities
5.1 Expressions
5.2 Solving Linear Equations I
5.3 Solving Linear Equations II
5.4 Word Problems
5.5 Inequalities
5.6 Summary
Review Problems
Challenge Problems
6 Decimals
6.1 Arithmetic with Decimals
6.2 Rounding
6.3 Decimals and Fractions
6.4 Repeating Decimals
6.5 Summary
Review Problems
Challenge Problems
7 Ratios, Conversions, & Rates
7.1 What is a Ratio?
7.2 Multi-way Ratios
7.3 Proportions
7.4 Conversions
7.5 Speed
7.6 Other Rates
7.7 Summary
Review Problems
Challenge Problems
8 Percents
8.1 What is a Percent?
8.2 Word Problems
8.3 Percent Increase and Decrease
8.4 Summary
Review Problems
Challenge Problems
9 Square Roots
9.1 From Squares to Square Roots
9.2 Square Roots of Non-square Integers
9.3 Arithmetic with Square Roots
9.4 Summary
Review Problems
Challenge Problems
10 AnglesÂ
10.1 Measuring Angles
10.2 Parallel Lines
10.3 Angles in Polygons
10.4 Summary
Review Problems
Challenge Problems
11 Perimeter & Area
11.1 Measuring Segments
11.2 Area
11.3 Circles
11.4 Summary
Review Problems
Challenge Problems
12 Pythagorean Theorem
12.1 The Pythagorean Theorem
12.2 Some Special Triangles
12.3 Types of Quadrilaterals
12.4 Summary
Review Problems
Challenge Problems
13 Data and Statistics
13.1 Basic Statistics
13.2 Limits of Basic Statistics
13.3 Tables, Graphs, and Charts
13.4 Summary
Review Problems
Challenge Problems
14 Counting
14.1 Counting with Addition and Subtraction
14.2 The Multiplication Principle
14.3 Casework
14.4 Counting Pairs
14.5 Probability
14.6 Summary
Review Problems
Challenge Problems
15 Problem-Solving Strategies
15.1 Find a Pattern
15.2 Make a List
15.3 Draw a Picture
15.4 Work Backwards
15.5 Summary
Review Problems
Challenge Problems
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