JAMB Mathematics Mind Map - Algebra PDF

# Learn Shortcuts, and Fast Mental Math Techniques ## Understand Basics: - Example: Solve x + 3 = 7 - Subtract 3 from both sides: x = 7 - 3 - Solution: x = 4 ## Simplify Mathematical Sentence or Statement (Expressions or Equations): - Combine like terms: 3x + 2x = 5x - Expand brackets: 2...

# Learn Shortcuts, and Fast Mental Math Techniques ## Understand Basics: - Example: Solve x + 3 = 7 - Subtract 3 from both sides: x = 7 - 3 - Solution: x = 4 ## Simplify Mathematical Sentence or Statement (Expressions or Equations): - Combine like terms: 3x + 2x = 5x - Expand brackets: 2 (x + 3) = 2x + 6 ## Graph Relationships: - Plot equations like y = mx to understand linear relationships. - Example: For y = 2x + 1, plot points like (0, 1), (1, 3), (2, 5) ## Solve Real-World Problems: - Example: "If 3 apples cost x naira, what is the cost of 5 apples?" - Solution: 5 * x # Algebra ## Practical Steps for Algebra ## Core Concept of Algebra ## First Principles of Algebra Algebra 'expands' on the 'arithmetic' with the use of symbols, these symbols represent "entities" and "actual phenomena" (also called "variables"). ## Entities, Actual Phenomena (or Variables) - These are symbols (x, y, a, b, v) that actually represent entities, and actual phenomena storing some kind of value (number or quantity), whether these values (numbers or quantities) are unknown or not depends on the given problem. ## Mathematical Sentence, Statement [Equation or Expression) - Mathematics is a language like any other in the world, natural or programming. Every Mathematical Sentence or Statement (Equation or Statement) will contain only three (3) parts: 1. Entities. Actual Phenomena (or Variables) 2. Modifiers (or Operators) 3. Raw values (Numbers or Quantities - To understand and conclude a Mathematical Sentence (i.e solve, simplify, evaluate, approximate) .... [and so] and arrive at an answer, is what you should know how to do in detail.