Solving Equations with Fractions

The video tutorial explains how to solve the equation Q/V + 9 = 60 by isolating the variable V. It begins by clearing fractions through multiplication, then simplifies the equation to isolate V. The tutorial also demonstrates expressing V in different forms, emphasizing the importance of recognizing equivalent expressions.

What is the first step in solving the equation Q/V + 9 = 60 for V?

• Divide both sides by 9

• Multiply both sides by V

• Add 9 to both sides

• Subtract Q from both sides

Why do we multiply both sides of the equation by the least common denominator?

• To simplify the equation

• To clear fractions from the equation

• To add fractions

• To isolate the variable

What is the least common denominator in the equation Q/V + 9 = 60?

• Q

• 60

• 9

• V

What happens to the term V*Q/V when simplifying?

• It becomes 0

• It becomes Q

• It becomes V

• It becomes 1

After clearing fractions, what is the next step to isolate V?

• Divide by 9

• Subtract Q from both sides

• Multiply by 9

• Add Q to both sides

What operation is used to solve for V after isolating the V term?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of dividing both sides by 9 in the equation 9V = 60 - Q?

• V = 9/60 - Q

• V = Q - 60/9

• V = 60/9 - Q/9

• V = 60 - Q

How can V = 6D - Q / 9 be expressed differently?

• V = 6D / 9 + Q / 9

• V = 9 / 6D - Q

• V = 6D * 9 - Q

• V = 6D - 9 / Q

What is the simplified form of 6D/9?

• D/2

• 3D/2

• 2D/3

• D/3

Why is it important to recognize the expression 2D/3 - Q/9?

• It is equivalent to 6D - Q / 9

• It is a different equation

• It is not equivalent to any expression

• It simplifies to a constant