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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