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Chapter 1 - Numbers and Sets
Definitions and symbols
Chapter 2 - Positive Integers
Mental Calculation
Multiplication Methods
Placement of Decimal Points
Uneven Division
Order of Operations
Zero as a factor
Chapter 3 - Signed Numbers
Operating with signed numbers
Multiplication of signed numbers
Special cases for laws of signs
Chapter 4 - Common Fractions
Equivalent Fractions
Improper fractions
Like and unlike fractions
Addition of fractions
Subtraction of fractions
Multiplication of fractions
Division with Fractions
The rule for division by the reciprocal method
Chapter 5 - Decimals
Reading Decimals
Changing decimals to common fractions
Nonterminating Decimals
Multiplication of Two Decimals
Decimal Divisors
Chapter 6 - Percentage and Measurement
The three percentage cases
Principles of Measurement
Percent of Error
Calculating with approximate numbers
Vernier
Chapter 7 - Exponents and Radicals
Decimals
Power of a Quotient
Fractional Exponents
Multiplication Using Powers of 10
Other Applications
Multiplication and Division
Rational and Irrational Numbers
Tables of Roots
Chapter 8 - Logarithms and the slide rule
Common Logarithms
Components of logarithms
The slide rule
Operations with the slide rule
Placing the Decimal Point
Multiplication and Division
Square Roots
Cubes and cube roots
Positioning numbers on the K scale
Chapter 9 - Fundamentals of Algebra
Algebraic Expressions
Symbols of Grouping
Exponents and radicals
Operations with polynomials
Multiplication of a polynomial by a polynomial
Rationalizing denominators
Division of a polynomial by a monomial
Synthetic Division
Chapter 10 - Factoring Polynomials
Binomial Forms
Special Binomial Forms
Trinomial Squares
Reducing Fractions to lowest terms
Dividing Fractions
Chapter 11 - Linear Equations in one variable
Degree of an equation
Solving linear equations
Solutions requiring more than one operation
Equations with literal coefficients
General form of a linear equation
Inequalities
Graphing Inequalities
Chapter 12 - Linear equations in two variables
X and Y Intercepts
Graphical Solution
Adding the equations
Substitution Method
Interpreting equations
Using two variables in solving word problems
Plotting on the coordinate system
Chapter 13 - Ratio, Proportion, and Variation
Proportion
Operations of proportions
Other forms for proportions
Solving problems by means of proportion
Word Problems
Variation as the Power of a Quantity
Joint variation
Chapter 14 - Dependence, Functions, and Formulas
Subject of a Formula
Evaluating Formulas
Translating Formulas
Chapter 15 - Complex Numbers
Imaginary Unit
The complex plane
Plotting Complex Numbers
Addition and subtraction of complex numbers
Conjugates and special products
Chapter 16 - Quadratic equations in one variable
Solution by Factoring
Solution by completing the square
Solution by the quadratic formula
Graphical Solution
Maximum and minimum points
The discriminant
Equal or double roots
Irrational Roots
Graphical interpretation of roots
Chapter 17 - Plane Figures
Geometric Relationships
Perimeter and Area
Quadrilateral
Trapezoids
Formulas for Circumference and Area
Chapter 18 - Geometric constructions and solid figures
Perpendicular at any point on a line
Finding the center of a circle
Types of Prisms
Surface Area and Volume
Regular pyramids and right circular cones
Spheres
Chapter 19 - Numerical Trigonometry
Simlar right triangles
Trigonometric Ratios
Tables of decimal values
Interpolation
Right triangles with special angles and side ratios
The 3-4-5 triangle
Oblique Triangles
Law of sines
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