Solving a proportion for a variable

The video tutorial covers solving proportions using two techniques: inverse operations and cross multiplication. The instructor explains the importance of understanding operations like multiplication and division, and how they relate to fractions. The tutorial demonstrates how to eliminate fractions by using inverse operations and introduces cross multiplication as a quicker method. Simplification of fractions is also discussed, emphasizing the importance of understanding the underlying concepts.

What is the opposite operation of multiplication?

• Subtraction

• Addition

• Division

• Exponentiation

How can you eliminate a fraction in an equation?

• By dividing by the numerator

• By multiplying by the denominator

• By adding the denominator

• By subtracting the numerator

What happens when you multiply and then divide by the same number?

• The number becomes negative

• The number cancels out

• The number becomes zero

• The number doubles

What is a common mistake when using cross multiplication?

• Using addition instead of multiplication

• Dividing instead of multiplying

• Writing the equals sign backwards

• Forgetting to multiply both sides

Why might cross multiplication be confusing for some students?

• It involves complex numbers

• It uses unfamiliar symbols

• It can be difficult to write the equation correctly

• It requires memorizing formulas