Solving Proportions and Equations

The video tutorial explains how to solve proportions by setting two fractions equal to each other and using cross multiplication. It provides a step-by-step guide to solving a sample problem, emphasizing the importance of isolating the variable by dividing by its coefficient. The tutorial concludes by reworking the problem in slow motion to reinforce understanding.

What is a proportion in mathematics?

• A comparison of two numbers by division

• A product of two numbers

• A sum of two numbers

• Two fractions set equal to each other

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

• Divide the fractions

• Multiply the bottom of one fraction by the top of the other

• Subtract the fractions

• Add the fractions

In the equation X/5 = 12/15, what is the result of the cross multiplication?

• 12 * 15 = 180

• X * 12 = 12X

• 5 * 15 = 75

• 5 * 12 = 60

What do you do after obtaining the cross products in a proportion?

• Set them equal to each other

• Subtract them

• Multiply them

• Add them together

How do you isolate the variable X in the equation 15X = 60?

• Multiply both sides by 15

• Subtract 15 from both sides

• Add 15 to both sides

• Divide both sides by 15

What is the value of X in the proportion X/5 = 12/15?

• 5

• 4

• 3

• 6

What happens to the coefficient of X after dividing both sides by it?

• It remains the same

• It becomes negative

• It cancels out

• It doubles