★ 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 correct first strategy for solving a two-step equation?
3. What are the solutions of the quadratic equation ?
How is an equation solved?
By isolating the variable while performing the same operation on both sides.
Which operations undo each other in solving equations?
Addition and subtraction, and multiplication and division are opposite operations.
How do you solve a simple quadratic equation like ax² = c?
Isolate x² and take the square root of both sides with ±.
What are the steps to solve a word problem using equations?
Choose a variable, translate words to equation, solve, and check answer.
Linear Equation Solve Tip
Isolate variable, undo operations in reverse order.
Opposite Operations
Addition vs subtraction, multiplication vs division.
It covers the core concepts of Equations, Circles and Linear Relationships, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.
Read the full study guide →The practice quiz has 10 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.
Take the quiz (10 questions) →There are 12 flashcards on Equations, Circles and Linear Relationships, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.
See all 12 flashcards →Upload a PDF or paste your notes. Revizly writes a study guide, a practice quiz and flashcards in about a minute.