Pre-Algebra Lessons

Variables, Expressions and Integers

• Evaluating Algebraic Expressions
• Powers and Exponents
• Order of Operations
• Absolute Value
• Adding and Subtracting Sign Numbers
• Multiplying and Dividing Sign Numbers
• The Coordinate Plane

Simplifying Expressions and Solving Equations

• Commutative, Associative and Distributive Properties, Identities and Inverses
• Simplifying Expressions (Adding and Subtracting)
• Solving One-Step Equations Using Addition and Subtraction
• Solving One-Step Equations Using Multiplication and Division

Solving Equations and Inequalities

• Solving Two-Step Equations
• Solving Equations Using the Distributive Property
• Solving Equations with Variables on Both Sides
• Solving Inequalities Using Addition and Subtraction
• Solving Inequalities Using Multiplication and Division
• Solving Multi-Step Inequalities

Factors, Fractions and Exponents

• Factors and Prime Factorization
• Greatest Common Factor
• Simplifying Fractions
• Least Common Multiple
• Properties of Exponents
• Negative and Zero Exponents
• Scientific Notation

Fractions and Equations

• Rational Numbers
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Solving Equations and Inequalities with Fractions

Ratio, Proportion and Probability

• Ratios
• Proportions
• Similar Figures
• Experimental Probability
• Theoretical Probability
• Probability with "And" and "Or"
• Multiplying Probabilities
• Odds
• The Counting Principle
• Permutations and Combinations

Percents

• Percents, Decimals and Fractions
• Percent Equations
• Percent Change, Increase and Decrease
• Percent Word Problems

Linear Functions

• Domain, Range and Linear Functions
• Linear Equations in Two Variables
• Intercepts
• Slope
• Slope-Intercept Form of a Line
• Function Notation
• Solving Systems of Linear Equations Graphically
• Graphs of Linear Inequalities

Square Roots and Right Triangles

• Square Roots
• Simplifying Square Roots
• The Pythagorean Theorem
• Distance and Midpoint Formulas
• Special Right Triangles
• Sine, Cosine and Tangent

Geometry

• Triangles
• Polygons and Quadrilaterals
• Areas of Quadrilaterals
• Circles
• Lateral and Surface Area
• Volume

Polynomials and Non-Linear Functions

• Adding and Subtracting Polynomials
• Multiplying Binomials

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