Learning Objectives
What You Should Be Able To Do
Interactive Study Tools
These tools are here to help students slow down and think about the method before rushing to an answer.
Tool 1
Study Planner
Use this to break a topic into small study sessions.
Plan: A clear breakdown will appear here.
Tool 2
Method Reminder
This quick guide reminds students what to do when they feel stuck.
- Read the story: what is the question really asking?
- Choose the method: identify the correct idea before calculating.
- Show the reason: do not skip the logic.
- Check the answer: make sure it fits the situation.
1. Linear & Quadratic Equations
Simple explanation: This section is about solving for unknown values step by step without losing the logic.
Solving for variables is fundamental.
- Linear: Move variables to one side, constants to the other.
- Quadratic (ax² + bx + c = 0): Use factorisation or the Quadratic Formula:
x = [-b ± √(b² - 4ac)] / 2a
Examiner Tip
💡 Examiner Tip: Always set your quadratic equation to equal 0 before trying to factorise or use the formula. If it equals 5, subtract 5 from both sides first!2. Simultaneous Equations
Simple explanation: This section is about solving for unknown values step by step without losing the logic.
When you have two variables, you need two equations. Use the Elimination or Substitution method to reduce the system to one variable.
Common Mistake
❌ Common Mistake: When using the elimination method, forgetting to multiply the *entire* equation by the constant required to match coefficients.📝 Exam Style Questions
Simple explanation: This section explains the main idea in simple English first, then builds toward the formal method used in exam questions.
Easy Q1: Solve 3x + 5 = 14.
Medium Q2: Solve x² - 5x + 6 = 0.
A1: 3x = 9, so x = 3.
A2: (x-2)(x-3) = 0, so x = 2 or x = 3.