Solving Linear Equations and Distributions

Mr. Bork explains how to solve proportion problems involving binomials using cross products. He demonstrates solutions to four problems, emphasizing the importance of isolating the variable X and using the distributive property where necessary. The video covers techniques for simplifying equations and provides step-by-step guidance for each problem.

What is the first step in solving a proportion problem with binomials?

• Multiply both sides by zero

• Use cross products

• Subtract the terms on both sides

• Add the terms on both sides

In the equation X over 5 = 27, what is the result of the cross product 5 * 2?

• 20

• 15

• 10

• 5

What is the final value of X in the equation X over 5 = 27?

• 7/10

• 5/27

• 10/7

• 27/5

In the equation X over 5 = 27, what operation is performed after finding the cross products?

• Multiplication

• Addition

• Subtraction

• Division

In the equation X over 5 = 27, what is the purpose of dividing both sides by 7?

• To eliminate the fraction

• To simplify the equation

• To solve for X

• To find a common denominator

In the equation 18 + x = 1/2, what is the first step after setting up the cross products?

• Add 18 to both sides

• Distribute the 2

• Multiply by 3

• Subtract 18 from both sides

What is the result of distributing 2 in the equation 2 * (18 + x)?

• 18x + 2

• 18 + 2x

• 36x + 2

• 36 + 2x

What is the final value of X in the equation 18 + x = 1/2?

• 16.5

• -16.5

• 33/2

• -33/2

What is the result of subtracting 36 from both sides in the equation 2 * (18 + x) = 3?

• 33

• -33

• -18

• 18

What is the result of dividing both sides by 2 in the equation 2x = -33?

• 16.5

• 33

• -16.5

• -33