A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1
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Chapter 1Real Numbers1-1Real Numbers91-2Adding Integers131-3Subtracting Integers151-4Multiplying Integers171-5Dividing Integers191-6Powers and Exponents211-7Order of Operations23Chapter 1 Exercise25Chapter 2Decimals2-1Decimals292-2Adding and Subtracting Decimals312-3Multiplying Decimals332-4Dividing Decimals352-5Scientific Notations37Chapter 2 Exercises39Chapter 3Number Theory3-1Factors and Multiples433-2Divisibility Tests453-3Prime Factorization473-4Greatest Common Factor and Least Common Multiple493-5Sequences and Number Patterns52Chapter 3 Exercises55Chapter 4Fractions4-1Introduction to Fractions594-2Fractions and Decimals634-3Adding and Subtracting Fractions654-4Multiplying Fractions694-5Dividing Fractions73Chapter 4 Exercises77Chapter 5Ratios, Proportions, and Percents5-1Ratios and Rates815-2Proportions835-3Percents855-4Percents and Decimals875-5Percents and Fractions895-6Percent and Applications91Chapter 5 Exercises95Chapter 6Equations6-1Variables and Expressions1016-2Adding and Subtracting Expressions1036-3Multiplying and Dividing Expressions1056-4Solving One - Step Equations1076-5Solving Two - Step Equations1116-6Solving Multistep Equations1156-7Translating Words into Symbols1176-8Solving Word Problems in One Variable1216-9Literal Equations and Formulas127Chapter 6 Exercises129Chapter 7Functions and Graphs7-1Number line and Coordinate Plane1377-2Linear Equations1417-3Equations and Functions1437-4Relations and Functions1457-5Graphing Linear Equations1497-6Slope of a line1537-7Finding the Equation of a Line1577-8Parallel and Perpendicular Lines1617-9Direct Variations163Chapter 7 Exercises165Chapter 8Polynomials and Factoring8-1Laws of Exponents1718-2Multiplying Polynomials1758-3Multiplying Binomials (FOIL & Patterns)1778-4Factoring Polynomials1798-5Factoring Quadratic Trinomials1818-6Factoring Special Quadratic Patterns1838-7Solving Equations by Factoring1858-8Solving Word Problems by Factoring187Chapter 8 Exercises189Chapter 9Inequalities and Absolute Values9-1Inequalities on the number line1959-2Solving Inequalities in One Variable1979-3Solving Combined Inequalities1999-4Solving Word Problems involving Inequalities2039-5Operations with Absolute Values2059-6Absolute - Value Equations and Inequalities207Chapter 9 Exercises209Chapter 10Systems of Equations and Inequalities10-1Solving Systems by Graphing21310-2Solving Systems Algebraically21710-3Solving Word Problems by using Systems221Linear Programming223Chapter 10 Exercises225Chapter 11Radicals11-1Square Roots and Radicals22911-2Simplifying Radicals23111-3Simplifying Radical Expressions23311-4Solving Equations involving Radicals23511-5The Pythagorean Theorem23711-6Distance and Midpoint Formulas239Chapter 11 Exercises241Proofs of the Pythagorean Theorem243Chapter 12Quadratic Equations and Functions12-1Quadratic Equations Involving Perfect Squares24512-2Completing the Square24712-3The Quadratic Formula24912-4Graphing Quadratic Functions - Parabolas251Chapter 12 Exercises255Proof of the Quadratic Formula257Chapter 13Rational Expressions (Algebraic Fractions)13-1Simplifying Rational Expressions25913-2Adding and Subtracting Rational Expressions26113-3Multiplying and Dividing Rational Expressions26313-4Solving Rational Equations26513-5Solving Word Problems by Rational Equations26713-6Inverse Variations269Chapter 13 Exercises271Chapter 14Statistics and Probability14-1Mean, Median, Mode, and Range27314-2Statistical Graphs27514-3Histogram and Normal Distribution27714-4Stem-and-Leaf Plots & Box-and-Whisker Plots27914-5Sets and Venn Diagrams28114-6Probability283Chapter 14 Exercises287Answers to all Exercises289Standardized Sample Questions and Answers331Standardized Sample Tests (Completed solution keys are available for math teachers only.)339Interactive Learning Form349Order Form351
