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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