Algebra Basics
Algebra Basics is an important Maths topic for students who want a quick, reliable study reference.
This guide explains the meaning, core idea, common uses, and exam relevance of Algebra Basics in simple language. Use it for class revision, homework support, project preparation, and quick concept recall before tests.
When studying this topic, first understand the definition, then connect it with examples from textbooks, classroom notes, and everyday situations. Write the key points in your own words and revise them with related SaralStudy resources.
- Read the concept carefully and note the keywords.
- Practise one or two examples after reading.
- Use related pages to revise connected topics.
Algebra Basics: Explanation, Formulae and Practice
Algebra uses letters to represent unknown numbers. For basic algebra, focus on simplifying expressions, substituting values, and solving equations step by step by doing the same operation on both sides.
Practical Formulae
- Like terms can be added or subtracted: 3x + 2x = 5x.
- Distributive rule: a(b + c) = ab + ac.
- Equation balance rule: if a = b, then a + c = b + c and a - c = b - c.
- For ax + b = c, x = (c - b) / a, where a is not 0.
- (a + b)^2 = a^2 + 2ab + b^2.
Solved Example
Question: Solve 3x + 5 = 20.
Working: Subtract 5 from both sides: 3x = 15. Divide both sides by 3: x = 5.
Result: x = 5.
Unanswered Practice Questions
Try these yourself before checking notes or calculators.
- Simplify: 4x + 3x - 2x.
- Solve: 2x + 7 = 19.
- Expand: 3(a + 4).
- Find the value of 2x + 5 when x = 6.
Connected SaralStudy Resources
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