Solving Proportions and Equations

The video tutorial covers the concept of proportions, focusing on means and extremes. It explains how to identify the terms of a proportion and demonstrates the process of cross-multiplying to solve for variables. Two methods for solving equations are discussed: using the multiplication property of equality and division. The tutorial concludes with a preview of the next video in the series.

What are the means in the proportion 1/3 = 2/6?

• 1 and 6

• 3 and 2

• 1 and 2

• 3 and 6

In the proportion 1/3 = 2/6, which numbers are the extremes?

• 1 and 6

• 3 and 2

• 1 and 2

• 3 and 6

How do you read the proportion 1/3 = 2/6?

• Two is to one as six is to three

• Three is to one as six is to two

• One is to two as three is to six

• One is to three as two is to six

What is the result of cross-multiplying the means and extremes in the proportion 2/9 = x/18?

• 18x = 36

• 9x = 36

• 2x = 18

• x = 18

What is the purpose of cross-multiplying in proportions?

• To subtract the terms

• To find the sum

• To create an equation

• To divide the terms

What is the first step in solving 9x = 36 using the multiplication property of equality?

• Divide both sides by 9

• Multiply both sides by 9

• Multiply both sides by 1/9

• Add 9 to both sides

What is the reciprocal of 9 in the equation 9x = 36?

• 1

• 9

• 36

• 1/9

What is the coefficient in the equation 9x = 36?

• 9

• 1

• x

• 36

What is the result of dividing both sides of 9x = 36 by 9?

• x = 36

• x = 1

• x = 9

• x = 4

Which property is used when dividing both sides of an equation by the same number?

• Identity Property

• Multiplication Property

• Division Property

• Reciprocal Property