THE ALGEBRA I LEARNING LIBRARY

Make sense of algebra.
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A clear path from your first equation to STAAR preparation. Explore worked examples, build your understanding, and put it into practice.

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SMALL STEPS. REAL UNDERSTANDING.Algebra I

y = x²

Understand the why.Then solve with confidence.

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11structured units

185step-by-step lessons

4 + 1practice questions per lesson

Built for the way
understanding grows.

A COMPLETE PATH THROUGH ALGEBRA I

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185 lessons to explore

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Free Texas PDF pack

10 Algebra 1 skill worksheets + 4 study guides

Review every topic and objective before completing one parent registration form to unlock the printable and fillable PDFs.

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YOUR STUDY TOOLKIT

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Guides, worksheets, and practical advice
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STAAR Algebra I EOC and TEKS planning

STAAR Algebra 1 EOC Study Guide

Organise EOC preparation around Texas Algebra I expectations, current official materials, worked retrieval and error-based review.

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Algebra 1 TEKS Skills Checklist and Readiness Guide

Rate skills from evidence—not confidence alone—and turn the results into a short, realistic learning plan.

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STAAR Algebra 1 Practice Problems With Explanations

Practise interpreting multiple representations and explaining why an answer works with original questions—not copied STAAR items.

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Algebra 1 foundations and worked tutorials

Algebra 1 Beginner’s Guide: Topics and Examples

See Algebra 1 as a connected study of quantities, relationships and representations instead of a list of isolated procedures.

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How to Graph Linear Equations Step by Step

Choose a graphing method from the form you have, plot enough exact information and verify a third point.

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Solving Systems by Substitution and Elimination

Choose the method that uses the equation structure efficiently, solve for both variables and verify the ordered pair in both equations.

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Exponents and Radicals Explained for Algebra 1

Understand why exponent rules work, apply them only under the correct operation and connect radicals to inverse powers.

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Exponential Functions Explained With Graphs

Recognise multiplicative change, interpret y = abˣ and distinguish exponential patterns from linear ones.

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How to Factor Polynomials in Algebra 1

Treat factoring as reversing multiplication: remove the greatest common factor first, recognise the structure and verify by expanding.

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Graphing Quadratic Functions Step by Step

Build a quadratic graph from its key features and check that the points reflect the symmetry of a parabola.

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UNDERSTANDING STARTS WITH A FIRST STEP

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Build from there.

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What will you learn today?

01Algebra Foundations15 lessons

Introduction to Algebra

Variables, Constants and Coefficients

Algebraic Expressions

Writing Algebraic Expressions

Evaluating Expressions

Order of Operations (PEMDAS)

Properties of Real Numbers

Integers and Rational Numbers

Absolute Value

Combining Like Terms

Distributive Property

Simplifying Algebraic Expressions

Exponents and Their Properties

Scientific Notation

Radicals and Square Roots

02Linear Equations17 lessons

Understanding Equality

One-Step Equations

Two-Step Equations

Multi-Step Equations

Equations with Variables on Both Sides

Equations with Parentheses

Equations with Fractions

Equations with Decimals

Literal Equations

Rearranging Formulas

Proportional Relationships

Ratios and Rates

Unit Rates

Percent Applications

Real-World Linear Equation Problems

Equations with No Solution

Equations with Infinitely Many Solutions

03Linear Inequalities10 lessons

Introduction to Inequalities

Graphing Inequalities on a Number Line

Solving One-Step Inequalities

Solving Multi-Step Inequalities

Inequalities with Variables on Both Sides

Compound Inequalities

Writing Inequalities from Word Problems

Graphing Linear Inequalities in Two Variables

Systems of Linear Inequalities

Real-World Inequality Applications

04Coordinate Geometry and Graphing26 lessons

Coordinate Plane

Ordered Pairs

Plotting Points

Independent and Dependent Variables

Tables of Values

Relations and Functions

Domain and Range

Function Notation

Evaluating Functions

Linear Relationships

Slope

Slope from Two Points

Slope from a Graph

Slope from a Table

Slope-Intercept Form

Point-Slope Form

Standard Form

Graphing Linear Equations

X-Intercept and Y-Intercept

Parallel Lines

Perpendicular Lines

Comparing Linear Functions

Continuous and Discrete Linear Domains

Horizontal and Vertical Lines

Transformations of Linear Functions

Writing Linear Inequalities from Tables, Graphs, and Words

05Linear Functions and Modeling18 lessons

Introduction to Linear Functions

Writing Linear Equations

Linear Function Rules

Rate of Change

Initial Value

Direct Variation