Vanguard Algebra
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Chapter 1 Foundations for Algebra
1.1 Variables and Exponents
1.2 Adding and Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Powers and Exponents
1.5 Square Roots and Real Numbers
Quiz Review 1.1-1.5
1.6 Order of Operations
1.7 Simplifying Expressions
1.8 Introduction to Functions
Quiz Review 1.6-1.8
Chapter 2 Equations
2.1 Solving Equations by Adding or Subtracting
2.2 Solving Equations by Multiplying or Dividing
2.3 Solving Two-Step and Multi-Step Equations
2.4 Solving Equations with Variables on Both Sides
2.5 Solving for a Variable
Quiz Review 2.1-2.5
2.6 Rates, Ratios, and Proportions
2.7 Applications of Proportions
2.8 Percents
2.9 Applications of Percents
2.10 Percent Increase and Decrease
Quiz Review 2.6-2.10
Chapter 3 Inequalities
3.1 Graphing and Writing Inequalities
3.2 Solving Inequalities by Adding or Subtracting
3.3 Solving Inequalities by Multiplying or Dividing
Quiz Review 3.1-3.3
3.4 Solving Two-Step and Multi-Step Inequalities
3.5 Solving Inequalities with Variables on Both Sides
3.6 Solving Compound Inequalities
Quiz Review 3.4-3.6
Chapter 4 Functions
4.1 Graphing Relationships
4.2 Relations and Functions
4.3 Writing Functions
4.4 Graphing Functions
Quiz Review 4.1-4.4
4.5 Scatter Plots and Trend Lines
4.6 Arithmetic Sequences
Quiz Review 4.5-4.6
Chapter 5 Linear Functions
5.1 Identifying Linear Functions
5.2 Using Intercepts
5.3 Rate of Change and Slope
5.4 The Slope Formula
5.5 Direct Variation
Quiz Review 5.1-5.5
5.6 Slope-Intercept Form
5.7 Point-Slope Form
5.8 Slopes of Parallel and Perpendicular Lines
5.9 Transforming Linear Functions
Quiz Review 5.6-5.9
Chapter 6 Systems of Equations and Inequalities
6.1 Solving Systems by Graphing
6.2 Solving Systems by Substitution
6.3 Solving Systems by Elimination
6.4 Solving Special Systems
Quiz Review 6.1-6.4
6.5 Solving Linear Inequalities
6.6 Solving Systems of Linear Inequalities
Quiz Review 6.5-6.6
Chapter 7 Exponents and Polynomials
7.1 Integer Exponents
7.2 Powers of 10 and Scientific Notation
7.3 Multiplication Properties of Exponents
7.4 Division Properties of Exponents
Quiz Review 7.1-7.4
7.5 Polynomials
7.6 Adding and Subtracting Polynomials
7.7 Multiplying Polynomials
7.8 Special Products of Binomials
Quiz Review 7.5-7.8
Chapter 8 Factoring Polynomials
8.1 Factors and Greatest Common Factors
8.2 Factoring by GCF
8.3 Factoring x^2 + bx + c
Quiz Review 7.1-7.4
8.4 Factoring ax^2 + bx + c
8.5 Factoring Special Products
8.6 Choosing a Factoring Method
Chapter 9 Quadratic Functions and Equations
9.1 Identifying Quadratic Functions
9.2 Characteristics of Quadratic Functions
9.3 Graphing Quadratic Functions
9.4 Transforming Quadratic Functions
Quiz Review 9.1-9.4
9.5 Solving Quadratic Equations by Graphing
9.6 Solving Quadratic Equations by Factoring
9.7 Solving Quadratic Equations by Using Square Roots
9.8 Completing the Square
9.9 The Quadratic Formula and the Discriminant
Quiz Review 9.5-9.9
Chapter 10 Data Analysis and Probabliity
10.1 Organizing and Displaying Data
10.2 Frequency and Histograms
10.3 Data Distributions
10.4 Misleading Graphs and Statistics
Quiz Review 10.1-10.4
10.5 Experimental Probability
10.6 Theoretical Probability
10.7 Independent and Dependent Events
10.8 Combinations and Permutations
Quiz Review 10.5-10.8
Chapter 11 Exponential and Radical Functions
11.1 Geometric Sequences
11.2 Exponential Functions
11.3 Exponential Growth and Decay
11.4 Linear, Quadratic, and Exponential Models
Quiz Review 11.1-11.4
11.5 Square-Root Functions
11.6 Radical Expressions
11.7 Adding and Subtracting Radical Expressions
11.8 Multiplying and Dividing Radical Expressions
11.9 Solving Radical Equations
Quiz Review 11.5-11.9
Chapter 12 Rational Functions and Equations
12.1 Inverse Variation
12.2 Rational Functions
12.3 Simplifying Rational Expressions
Quiz Review 12.1-12.3
12.4 Multiplying and Dividing Rational Expressions
12.5 Adding and Subtracting Rational Expressions
12.6 Dividing Polynomials
12.7 Solving Rational Equations
Quiz Review 12.4-12.7
Quiz Review 4.5-4.6
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Quiz Review 4.5-4.6
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