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.
Two-step Equation
Undo operations in reverse order for both steps.
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.
Answer 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 correct first strategy for solving a two-step equation?
Go over the full study guide for Equations, Circles and Linear Relationships.
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