Solving Proportions with Cross Products

The video tutorial explains how to solve proportions using the property of cross products. It provides three examples, demonstrating the process of setting up and solving proportions by equating cross products and dividing to find the unknown variable. The tutorial emphasizes the importance of understanding proportions for solving word problems.

What is the result of multiplying the numerator of one ratio by the denominator of the other in a proportion?

• Sum of both values

• Difference between the values

• Product of the values

• None of the above

If the cross products of a proportion are 45x and 315, what is the value of x when solved?

• 11

• 9

• 7

• 5

What does it mean if two fractions are equivalent in the context of proportions?

• They are both greater than 1

• They represent the same value

• They have the same numerator

• They have the same denominator

What does it indicate if the cross products of a proportion are equal?

• The ratios are both less than 1

• The ratios are equivalent

• The ratios are not equivalent

• The ratios are both greater than 1

What is the first step in solving proportions using cross products?

• Divide the denominators

• Multiply across the ratios

• Add the numerators

• Subtract the numerators

What is the value of x when 17 multiplied by 25 equals 20x?

• 18.75

• 21.25

• 22.5

• 23

How do you solve for x in the proportion where 20x equals 425?

• Subtract 20 from both sides

• Add 20 to both sides

• Divide both sides by 20

• Multiply both sides by 20

What is the result of dividing 225 by 12 in the context of solving proportions?

• 19.75

• 20.75

• 18.75

• 17.75

In the proportion 5/6 equals 37.50/45, what is the value of x when simplified?

• 19.75

• 20.75

• 18.75

• 17.75

What is the value of x when 6 multiplied by 2x equals 225?

• 17.75

• 16.75

• 19.75

• 18.75