Distributing Terms and Solving Equations

The video tutorial explains how to solve a proportion of the form ax + B = CX by using diagonal multiplication. It covers the steps of distributing terms, simplifying the equation, and solving for x. The process involves moving terms to one side, combining like terms, and dividing to find the solution.

What is a proportion in mathematical terms?

• An equation with two equal ratios

• A sum of two numbers

• A product of two numbers

• A difference between two numbers

What is the key principle used in solving proportions?

• Adding the numerators

• Subtracting the denominators

• Multiplying along the diagonals

• Dividing the fractions

In the diagonal multiplication method, what must be true?

• The products of the diagonals must be equal

• The ratios of the diagonals must be equal

• The sums of the diagonals must be equal

• The differences of the diagonals must be equal

What is the first step in applying the diagonal multiplication method?

• Add the fractions

• Divide the terms along one diagonal

• Multiply the terms along one diagonal

• Subtract the fractions

What operation is performed on the left-hand side of the equation?

• Division

• Simplification

• Subtraction

• Addition

What is the purpose of distributing terms on the right-hand side?

• To eliminate fractions

• To isolate the variable

• To simplify the equation

• To combine like terms

What is the result of distributing -9 across (x - 4)?

• -9x + 36

• 9x - 36

• -9x - 36

• 9x + 36

What is the next step after distributing terms on the right-hand side?

• Add terms to both sides

• Multiply both sides

• Move terms to one side

• Divide both sides

How do you isolate the variable x in the equation?

• Multiply both sides by a constant

• Divide both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

What is the final value of x in the equation?

• -36

• -6

• 36

• 6