# Algebraic expressions, equations and inequalities notes

> CAPS-aligned study notes for Algebraic expressions, equations and inequalities in Grade 11 Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 11](https://www.hlayiso.com/grade-11) › [Mathematics](https://www.hlayiso.com/grade-11/mathematics) › [Notes](https://www.hlayiso.com/grade-11/mathematics/notes) › [Algebraic expressions, equations and inequalities](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities)

## Sections in Algebraic expressions, equations and inequalities

Each entry shows the free preview (about 200 characters). Create a free Hlayiso account to read the full notes, practise every question and track your progress.

- [Exponents & Surds](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/exponents-and-surds) — Exponents & Surds In Grade 11, we extend the laws of exponents to include rational exponents and surds. This section builds on the exponent laws you learnt in Grade 10 and introduces powerful new…
- [Completing the Square & Quadratic Equations](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/completing-the-square-and-quadratic-equations) — Completing the Square & Quadratic Equations Quadratic equations are equations of the form $ax^2 + bx + c = 0$, where $a \\neq 0$. In this section, we explore three powerful methods for solving them:…
- [Quadratic Inequalities](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/quadratic-inequalities) — Quadratic Inequalities A quadratic inequality is similar to a quadratic equation, but instead of an equals sign, it uses an inequality sign ($\<$, $\>$, $\\leq$, $\\geq$). The solutions form a range of…
- [Simultaneous Equations & Nature of Roots](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/simultaneous-equations-and-nature-of-roots) — Simultaneous Equations & Nature of Roots This section covers two important topics: solving systems of equations where one is linear and one is quadratic, and using the discriminant to determine the…

## Other Mathematics topics

- [Number patterns](https://www.hlayiso.com/grade-11/mathematics/notes/number-patterns)
- [Finance, growth and decay](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay)
- [Functions and graphs](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs)
- [Probability](https://www.hlayiso.com/grade-11/mathematics/notes/probability)
- [Statistics](https://www.hlayiso.com/grade-11/mathematics/notes/statistics)
- [Analytical Geometry](https://www.hlayiso.com/grade-11/mathematics/notes/analytical-geometry)
- [Trigonometry](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry)
- [Euclidean Geometry](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry)

## Frequently asked questions

### What is covered in Algebraic expressions, equations and inequalities for Grade 11 Mathematics?

The Algebraic expressions, equations and inequalities section covers all key concepts from the Grade 11 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Algebraic expressions, equations and inequalities notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Algebraic expressions, equations and inequalities notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 11 Mathematics exams.

### Are there quizzes for Algebraic expressions, equations and inequalities?

Yes. Hlayiso has quizzes for Algebraic expressions, equations and inequalities in Grade 11 Mathematics. Test your understanding after reading the notes.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.