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Algebra Foundations in 90 Minutes

Course overview

Learning outcomes

Suggested structure

Lesson 1 — Algebra Language and Building Blocks

Lesson 1 — Algebra language: variables, constants, coefficients

Worked examples

Practice (with answers)

Quick quiz (with answers)

Lesson 2 — Simplifying Expressions by Combining Like Terms

Lesson 2 — Simplifying: combining like terms

Lesson 3 — Brackets and Distributive Thinking (Including Negatives)

Lesson 3 — Brackets: expanding (including negatives)

Lesson 4 — Solving One-Step and Two-Step Linear Equations

Lesson 4 — Solving equations: one-step and two-step

Lesson 5 — Substitution as a Tool for Understanding and Checking

Lesson 5 — Substitution: plug in and simplify

Lesson 6 — Mistakes, Meaning, and Mastery Check

Lesson 6 — Common mistakes + Final quiz

Common mistakes

Final quiz (with answers)

Quiz Bank (21 Short Checks With Answers)

Quiz Module 1 — Variables and Meaning

Quiz Module 2 — Word to Algebra (Addition)

Quiz Module 3 — Word to Algebra (Multiplication)

Quiz Module 4 — Identify Like Terms

Quiz Module 5 — Combine Like Terms (Basics)

Quiz Module 6 — Combine Like Terms (With Constants)

Quiz Module 7 — Combine Like Terms (Negatives)

Quiz Module 8 — Expand Brackets (Positive Multiplier)

Quiz Module 9 — Expand Brackets (Subtraction Inside)

Quiz Module 10 — Expand Brackets (Negative Outside)

Quiz Module 11 — Expand Then Simplify

Quiz Module 12 — One-Step Equation (Addition)

Quiz Module 13 — One-Step Equation (Multiplication)

Quiz Module 14 — Two-Step Equation (Add Then Divide)

Quiz Module 15 — Two-Step Equation (Subtract Then Divide)

Quiz Module 16 — Two-Step Equation (Negative Constant)

Quiz Module 17 — Substitution (Expression)

Quiz Module 18 — Substitution (Negative Input)

Quiz Module 19 — Check a Solution

Quiz Module 20 — Mixed Skill: Expand and Simplify

Quiz Module 21 — Mixed Skill: Solve and Verify

Surveys (7)

Survey 1 — Confidence Check (Before)

Survey 2 — Learning Experience

Survey 3 — Barrier Check

Survey 4 — Strategy Use

Survey 5 — Relevance and Real Life

Survey 6 — Confidence Check (After)

Survey 7 — Next Steps

Mastering Core Algebra: From Basic Expressions to Linear Equations is a focused, 90-minute mini course designed to build rock-solid algebra foundations fast. In clear, friendly steps, you’ll learn to translate everyday language into algebra, simplify expressions by combining like terms, expand brackets (including negatives), solve one-step and two-step linear equations, and verify your work using substitution. Each lesson blends short explanations, worked examples, targeted practice with answers, and quick quizzes so you can see progress immediately. The course is perfect for secondary/GCSE learners, adult returners, and anyone who wants to boost confidence before tackling more advanced math. You’ll use simple check routines—like substituting values and re-reading steps—to catch common mistakes with signs and brackets. By the end, you’ll understand the roles of variables, coefficients, and constants, and you’ll have a repeatable process for simplifying, expanding, solving, and checking. The built-in quiz bank (21 short checks) lets you practice exactly what you need, while surveys help you reflect on strategies and track confidence gains. If you’ve ever felt unsure about algebra, this course gives you the clarity, structure, and wins you need—in under two hours.

Mastering Core Algebra: From Basic Expressions to Linear Equations

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            <p>Algebra is often presented as a gatekeeper, a collection of abstract rules designed to exclude rather than empower. But what if we viewed it instead as a revolutionary language of logic—a tool that allows us to translate the complexities of our world into clear, solvable symbols? For Black learners and those committed to anti-racist education, reclaiming mathematical fluency is an act of resistance against historical narratives that have sought to limit our intellectual reach. This course strips away the intimidation of the "unknown x" and replaces it with the foundational skills of variables, coefficients, and constants, proving that the ability to solve for the unknown is a right, not a privilege.</p>

<p>True mastery is not found in the absence of errors, but in the strategic recovery from them. Over the next 90 minutes, we will dismantle the barriers to algebraic success by focusing on five core pillars: simplifying expressions, expanding brackets, and mastering the balance of linear equations. By treating every mistake as a data point rather than a defeat, we shift the focus from "getting it right" to understanding the "why" behind the work. Through targeted practice and substitution checks, you will develop a toolkit that not only prepares you for GCSE success but also sharpens the analytical thinking necessary to navigate and challenge the systems around us.</p>
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