The Ultimate PSAT 8/9 Math Course (+FREE Worksheets)

Help your students learn at their own pace with no schedules! Each lesson contains notes, examples, exercises, and activities to easily help students learn and understand each concept.  For additional educational resources, .

The Absolute Best Book to Ace the PSAT 8/9 Math Test

PSAT Math for Beginners 2026 The Ultimate Step by Step Guide to Preparing for the PSAT Math Test

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Subtracting Mixed Numbers

Real Numbers and Integers

• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Percentage Calculations
• Percent Problems
• Discount, Tax, and Tip
• Percent of Increase and Decrease
• Simple Interest

Algebraic Expressions

• Simplifying Variable Expressions
• Simplifying Polynomial Expressions
• Translate Phrases into an Algebraic Statement
• The Distributive Property
• Evaluating One Variable Expression
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One-Step Equations
• Multi-Step Equations
• Graphing Single–Variable Inequalities
• One-Step Inequalities
• Multi-Step Inequalities
• Systems of Equations

Geometry for Beginners The Ultimate Step by Step Guide to Acing Geometry

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Linear Functions

• Finding Slope
• Graphing Lines Using Standard Form
• Graphing Lines Using Slope-Intercept Form
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding Midpoint
• Finding Distance of Two Points

Exponents and Radicals

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Radicals

Polynomials

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Geometry and Solid Figures

• Pythagorean Theorem
• Triangles
• Polygons
• Trapezoids
• Circles
• Cubes
• Rectangular Prism
• Cylinder

Statistics and Probability

• Mean, Median, Mode, and Range
• Histograms
• Pie Graph
• Probability Problems
• Combinations and Permutations

Quadratic

• Solving a Quadratic Equation
• Graphing Quadratic Functions
• Solving Quadratic Inequalities
• Graphing Quadratic Inequalities

College Entrance Tests

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The Best Books to Ace the PSAT 8/9 Math Test

PSAT Math Full Study Guide Comprehensive Review + Practice Tests + Online Resources

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