Proportion Solving Techniques

The video tutorial explains how to solve algebraic proportions using cross-multiplication and alternative methods. It demonstrates solving equations by eliminating denominators and provides a detailed explanation of cross-multiplication, ensuring logical consistency in algebraic operations.

What is the first step in solving a proportion using cross-multiplication?

• Cross-multiply the terms

• Add the numerators

• Subtract the denominators

• Multiply the denominators

After cross-multiplying, what should you do next to solve for x?

• Distribute the multiplication

• Add the cross-products

• Divide the cross-products

• Subtract the cross-products

How can you verify that your solution to a proportion is correct?

• Add the solutions together

• Make sure the denominators are equal

• Check if the cross-products are equal

• Ensure the numerators are equal

What is an alternative method to solve a proportion without cross-multiplying?

• Add the denominators

• Divide both sides by the numerator

• Subtract the numerators

• Multiply both sides by the denominator

What is the result of multiplying both sides of a proportion by the denominator?

• The denominator is eliminated

• The numerator is doubled

• The proportion is reversed

• The equation becomes unsolvable

When the variable is in the denominator, what is a crucial step in solving the proportion?

• Divide the variable by the numerator

• Subtract the variable from both sides

• Cross-multiply to eliminate the variable

• Add the variable to both sides

What does cross-multiplying help achieve in a proportion with a variable in the denominator?

• It simplifies the equation

• It eliminates the variable

• It reverses the proportion

• It doubles the numerator

After cross-multiplying, what is the next step to isolate the variable?

• Subtract the constant term

• Add the cross-products

• Multiply by the constant term

• Divide by the coefficient of the variable

How can you express the solution of a proportion as a mixed number?

• Add the whole number and fraction

• Multiply the whole number by the fraction

• Convert the improper fraction

• Subtract the fraction from the whole number

What is the final step in solving a proportion with a variable in the denominator?

• Multiply both sides by the variable

• Divide both sides by the coefficient of the variable

• Subtract the variable from both sides

• Add the variable to both sides