Isolating Variables in Linear Equations

The video tutorial explains how to solve a linear function, focusing on isolating the variable Y. It covers the basic principles of linear functions, the process of manipulating equations to isolate Y, and the importance of performing operations on both sides of the equation. The tutorial emphasizes understanding the opposite operations needed to simplify and solve equations, ultimately presenting the solution in the Y equals MX plus B form for easy graphing.

What is a linear function commonly associated with in algebra?

• A straight line

• A quadratic curve

• A parabola

• A circle

When solving a linear function, what does it mean to 'solve for y'?

• To find the value of x

• To isolate y on one side of the equation

• To graph the function

• To find the slope

What is the first step in isolating y in a linear equation?

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 2

• Multiply both sides by 2

What happens to the terms when you subtract 2x from both sides of the equation?

• They remain unchanged

• They are multiplied

• They cancel each other out

• They are added together

What is the result of subtracting 2x from 2x?

• 4x

• -2x

• 0

• 2x

Why do we rearrange terms to fit the y = mx + b format?

• It simplifies the equation

• It eliminates the need for a graph

• It is the standard form for graphing

• It makes the equation easier to solve

Why is it important to keep the negative sign with the 2x term?

• It simplifies the equation

• It is part of the term's value

• It affects the y-intercept

• It changes the slope of the line

What is the purpose of rearranging the equation to y = mx + b?

• To eliminate fractions

• To prepare it for graphing

• To simplify the equation

• To make it easier to solve for x

What operation is used to eliminate multiplication in the equation 3y = -2x + 9?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of dividing 9 by 3 in the equation?

• 4

• 3

• 2

• 1