Algebra Foundations
Algebra Foundations is a focused practice book aligned to introductory Algebra courses in the MYP and Algebra 1. It features brief mini lessons and structured practice designed to build strong core skills and steady confidence. Problems are organized in progressive levels to introduce concepts, reinforce understanding, and provide challenge.
Contents
Inside the book you will find clear explanations, worked examples, and practice worksheets covering:
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Algebra Foundations and Core Skills
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Expressions and Equations
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Radicals and Operations with Roots
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Linear Equations and Inequalities
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Systems of Linear Equations
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Absolute Value Concepts
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Quadratic Expressions and Equations
This Website
This site supports the book with additional resources for every worksheet. Here you can:
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Access free mini-lessons and resources
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Preview the book's worksheets
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View complete answer keys
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Watch step by step video tutorials
Tutorial Videos
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Videos of worked examples for each chapter are found below.
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Check out all of our videos on our youtube channel.
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Algebra Foundations: Full Practice Book
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225 pages of structured practice.
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Mini-lessons + graduated problems.
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Best for classrooms or full-year review.
Chapter 1: Introduction To Algebra
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Lesson 4 – Simplifying Algebraic Expressions
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Lesson 5 – Evaluating Algebraic Expressions
Chapter 2: Expanding and Simplifying Polynomials
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Lesson 1 – The Distributive Property
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Lesson 2 – Multiplying Binomials (FOIL)
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Lesson 3 – Factoring Polynomials Using a GCF
Chapter 3: Radicals
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Lesson 1 – Simplifying Radicals with Variables
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Lesson 2 – Simplifying Radical Expressions (Multiplication and Division)
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Lesson 3 – Simplifying Radical Expressions (Addition and Subtraction)
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Lesson 4 – Distributive Property and FOIL with Radicals
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Lesson 5 – Rationalizing Denominators
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Lesson 6 – Introduction to Imaginary Numbers
Chapter 4: Linear Equations
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Lesson 1 – Solving Linear Equations (One and Two Step)
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Lesson 2 – Solving Linear Equations (Multi-Step)
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Lesson 3 – Linear Equation Word Problems
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Lesson 4 – Solving Rational Equations (Single Variable)
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Lesson 5 – Graphing Linear Equations
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Lesson 6 – Finding Linear Equations from a Graph
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Lesson 7 – Rate of Change Word Problems
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Lesson 8 – Rearranging Formulae
Chapter 5: Systems of Linear Equations
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Lesson 1 – Solving Systems of Linear Equations (Graphing)
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Lesson 2 – Solving System of Linear Equations (Substitution)
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Lesson 3 – Solving Systems of Linear Equations (Elimination)
Chapter 6: Absolute Values and Inequalities
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Lesson 1 – Solving Absolute Value Equations
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Lesson 2 – Solving Linear Inequalities (One Variable)
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Lesson 3 – Graphing Linear Inequalities (Two Variables)
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Lesson 4 – Linear Programming
Chapter 7: Absolute Values and Inequalities
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Lesson 1 – Creating Quadratic Equations
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Lesson 2 – Factoring Quadratic Trinomials (a=1)
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Lesson 3 – Factoring Perfect Squares and Difference of Squares
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Lesson 4 – Factoring Quadratic Trinomials (a ≠ 1)
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Lesson 5 – Simplifying Quadratic Expressions
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Lesson 6 – Intro to Solving Quadratic Equations
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Lesson 7 – Solving Single Variable Rational Equations (Quadratics)
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Lesson 8 – Solving Equations Involving Radicals
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Lesson 9 – Solving Equations by Completing the Square
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