Solving a proportion by cross multiplication and inverse operations

The video tutorial explains how to solve proportions using two methods: inverse operations and cross-multiplication. The instructor first demonstrates the inverse operations method, emphasizing the importance of undoing operations to isolate the variable. Then, the cross-multiplication method is introduced as an alternative approach, highlighting its popularity and effectiveness. Both methods are shown to yield the same result, reinforcing the concept of solving proportions.

What is the first step in solving a proportion using inverse operations?

• Cross-multiply the terms

• Subtract a constant from both sides

• Identify the operation on the variable

• Add a constant to both sides

When solving an equation where a variable is divided by a number, what should you do to isolate the variable?

• Divide both sides by the number

• Multiply both sides by the number

• Subtract the number from both sides

• Add the number to both sides

What is the result of multiplying 15 by 2 and then dividing by 10?

• 1

• 4

• 2

• 3

Why is cross-multiplication a popular method for solving proportions?

• It is the only correct method

• It always gives a different answer

• It is easier to remember than multiplying fractions

• It requires fewer steps

What is the key similarity between inverse operations and cross-multiplication methods?

• Both methods result in the same solution

• Both methods require adding fractions

• Both methods require subtracting fractions

• Both methods are only used for addition