★ Must-know
📌 An equation is solved by isolating the variable while performing the same operation on both sides.
📌 Opposite operations undo one another: addition and subtraction are opposites, while multiplication and division are opposites.
📌 For variables on both sides, move all variable terms to one side and all numerical terms to the other side.
📌 The distributive law states , so the factor outside brackets must multiply every term inside.
Further detail
Undo operations in reverse order: brackets, terms, coefficients.
📐 Formula — A simple quadratic equation can have the form ; isolate and then take the square root of both sides, remembering the ± sign.
1. Which procedure preserves the equality of an equation while isolating its variable?
2. What is the primary goal when solving a linear equation?
3. What is the correct first strategy for solving a two-step equation?
How is an equation solved?
By isolating the variable while performing the same operation on both sides.
Linear Equation Solve Tip
Isolate variable, undo operations in reverse order.
Which operations undo each other in solving equations?
Addition and subtraction, and multiplication and division are opposite operations.
Opposite Operations
Addition vs subtraction, multiplication vs division.
How do you solve a simple quadratic equation like ax² = c?
Isolate x² and take the square root of both sides with ±.
Two-step Equation
Undo operations in reverse order for both steps.
The study sheet covers the essential concepts of Equations, Circles and Linear Relationships. It is organized by topic to facilitate learning and memorization, with key definitions, explanations and summaries.
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