Chapter 1: Variables, Expressions, and Integers
- Expressions and Variables
- Powers and Exponents
- Order of Operations
- Comparing and Ordering Integers
- Adding Integers
- Subtracting Integers
- Multiplying and Dividing Integers
- The Coordinate Plane
Chapter 2: Solving Equations
- Properties and Operations
- The Distributive Property
- Simplifying Variable Expressions
- Variables and Equations
- Solving Equations Using Multiplication or Division
- Decimal Operations and Equations with Decimals
Chapter 3: Multi-step Equations and Inequalities
- Solving Two-Step Equations
- Solving Equations Having Like Terms and Parentheses
- Solving Equations with Variables on Both Sides
- Solving Inequalities Using Addition or Subtraction
- Solving Inequalities Using Multiplication or Division
- Solving Multi-Step Inequalities
Chapter 4: Factors, Fractions and Exponents
- Factors and prime Factorization
- Greatest Common Factor
- Equivalent Fractions
- Least Common Multiple
- Rules of Exponents
- Negative and Zero Exponents
- Scientific Notation
Chapter 5: Rational Numbers and Equations
- Rational Numbers
- Adding and Subtracting Like Fractions
- Adding and Subtracting Unlike Fractions
- Multiplying Fractions
- Dividing Fractions
- Using Multiplicative Inverse to Solve Equations
- Equations and Inequalities with Rational Numbers
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Chapter 6: Ratio, Proportion, and Probability
- Ratios and Rates
- Writing and Solving Proportions
- Solving Proportions Using Cross Products
- Similar and Congruent Figures
- Similarity and Measurement
- Scale Drawings
- Probability and Odds
- The Counting Principle
Chapter 7: Percents
- Percents and Fractions
- Percents and Proportions
- Percents and Decimals
- The Percent Equation
- Percent of Change
- Percent Applications
- Simple and Compound Interest
Chapter 8: Linear Functions
- Relations and Functions
- Linear Equations in Two Variables
- Using Intercepts
- The Slope of a Line
- Slope-Intercept Form
- Writing Linear Equations
- Function Notation
- Systems of Linear Equations
- Graphs of Linear Inequalities
Chapter 9: Real Numbers and Right Triangles
- Square Roots
- Simplifying Square Roots
- The Pythagorean Theorem
- Real Numbers
- The Distance and Midpoint Formulas
- Special Right Triangles
- The Tangent Ratio
- The Sine and Cosine Ratios
Chapter 10: Measurement, Area, and Volume
- Triangles
- Polygons and Quadrilaterals
- Areas of Parallelograms and Trapezoids
- Circumference and Area of a Circle
- Surface Areas of Prisms and Cylinders
- Surface Areas of Pyramids and Cones
- Volumes of Prisms and Cylinders
- Volumes of Pyramids and Cones
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