Mastering the Art of Solving for 'y' in Algebra

What is the main topic of the lesson in Friendly Math 101?

• Solving systems of equations

• Solving quadratic equations

• Converting equations to slope-intercept form

• Finding the area of a circle

In the first example, what operation is used to move the X term to the other side of the equation?

• Addition

• Division

• Multiplication

• Subtraction

After moving the X term in the first example, what is the next step to isolate Y?

• Divide by the coefficient of Y

• Multiply by the coefficient of Y

• Combine like terms

• Add the X term back

In the second example, what is the first step to convert the equation from point-slope form to slope-intercept form?

• Subtract the Y term

• Combine like terms

• Distribute to undo the parentheses

• Add the X term

What is the result of distributing one-third in the second example?

• One-third X minus 7

• One-third X plus 7

• One-third X plus 2

• One-third X minus 2

In the third example, what is the first step to convert the equation from standard form to slope-intercept form?

• Add the X term

• Subtract the X term

• Multiply by the coefficient of Y

• Divide by the coefficient of Y

After moving the X term in the third example, what is the next step to isolate Y?

• Multiply by the coefficient of Y

• Combine like terms

• Add the X term back

• Divide by the coefficient of Y

In the final example, what is the first step to convert the equation from point-slope form to slope-intercept form?

• Combine like terms

• Subtract the Y term

• Distribute to undo the parentheses

• Add the X term

What is the result of distributing negative 3 in the final example?

• Negative 3X minus 7

• Negative 3X plus 7

• Negative 3X minus 12

• Negative 3X plus 12

Why is it useful to convert an equation to slope-intercept form?

• It simplifies the process of solving systems of equations

• It helps in finding the area of geometric shapes

• It provides information about the slope and y-intercept, making graphing easier

• It makes it easier to solve quadratic equations