Proportions and Linear Equations

The video tutorial covers the fundamental rule of proportions, focusing on cross multiplication. It explains how to solve proportions by converting equations with fractions into simpler linear equations. Three examples are provided: a simple proportion with a single variable, a proportion with a variable in an algebraic expression, and a more complex proportion with two variables. Each example demonstrates the step-by-step process of applying cross multiplication to isolate the variable and solve the equation.

What is the fundamental rule of proportions?

• Subtract the fractions

• Add the numerators and denominators

• Cross multiply the fractions

• Divide the fractions

In a proportion, what do you do after cross-multiplying?

• Set the products equal to each other

• Divide the results

• Subtract the results

• Add the results

In Example 1, what is the value of x when 28x = 56?

• 1

• 2

• 4

• 3

What operation is performed to isolate x in the equation 28x = 56?

• Subtraction

• Multiplication

• Addition

• Division

In Example 1, what is the product of 7 and 8?

• 57

• 55

• 54

• 56

In Example 2, what expression is multiplied by 6?

• x + 2

• x - 2

• x + 1

• x - 1

What is the final value of x in Example 2?

• 10

• 11

• 8

• 9

In Example 2, what is the product of 3 and 22?

• 64

• 65

• 67

• 66

What is the result of moving 6 to the other side in Example 2?

• 6x = 72

• 6x = 70

• 6x = 66

• 6x = 60

In Example 3, what is the first step in solving the proportion with two variables?

• Add the variables

• Subtract the variables

• Cross multiply the expressions

• Divide the expressions