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Below, we will explain step-by-step learning across the three main areas: algebra, geometry, and statistics.
1. Solving Equations:
Begin with simple linear equations and gradually progress to more challenging quadratic equations and simultaneous equations. Master the quadratic formula
x = (−b ± √(b² − 4ac)) / 2a,
and practice a wide range of question types repeatedly. Understand how to solve equations using graphical methods, such as finding the roots (x-intercepts) of a quadratic graph.
Solving linear equations in one variable
Solving quadratic equations
* Solving simultaneous equations, including the algebraic method and the elimination method
2. Factorization:
Start with factorizing simple monomials and gradually move on to factorizing polynomials. Practice questions that combine factorization with solving equations, such as using factorization to solve quadratic equations. Understand the relationship between factorization and algebraic simplification, and learn how to simplify complex expressions through factorization.
Basic factorization
Common factor extraction
* Advanced factorization
3. Simplifying Expressions:
Memorize the laws of exponents and basic algebraic rules, such as aⁿ × aᵐ = aⁿ⁺ᵐ. Keep your working steps clear to avoid missing details, and build your ability to handle more complex expressions through consistent practice.
Combining like terms
Simplifying fractional algebraic expressions
* Operations with exponents
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