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.
What are the steps to solve a word problem using equations?
Choose a variable, translate words to equation, solve, and check answer.
Quadratic Basic Form
ax^2 = c, then sqrt both sides.
Square Root Sign
Includes both positive and negative roots.
Circle Radius and Diameter
d=2r, r=d/2.
Circle Perimeter Formula
Circumference = 2πr or πd.
Circle Area Formula
Area = πr^2.
Test your knowledge with 10 questions on Equations, Circles and Linear Relationships.
1. Which procedure preserves the equality of an equation while isolating its variable?
2. What is the primary goal when solving a linear equation?
Review the complete course in the study sheet for Equations, Circles and Linear Relationships.
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