Exploring the Segment Addition Postulate in Algebra

This video tutorial explains the segment addition postulate, which states that if a point is between two other points, the sum of the distances from the first point to the middle point and from the middle point to the last point equals the distance from the first to the last point. The video provides examples using numbers and demonstrates how to solve algebraic problems using this postulate.

What does the segment addition postulate state?

• The sum of the lengths of two segments equals the length of the third segment.

• The sum of the lengths of two segments equals the length of the entire segment.

• The product of the lengths of two segments equals the length of the entire segment.

• The difference between the lengths of two segments equals the length of the entire segment.

If point B is between points A and C, what is the relationship between AB, BC, and AC?

• AB + BC = AC

• AB - BC = AC

• AB / BC = AC

• AB * BC = AC

Given DE = 23 units and EF = 35 units, what is the total distance DF?

• 78 units

• 58 units

• 68 units

• 48 units

If the total distance FH is 36 units and FG is 21 units, what is the distance GH?

• 17 units

• 18 units

• 16 units

• 15 units

What is the first step in solving an algebraic problem using the segment addition postulate?

• Combine like terms

• Write a word equation

• Subtract known values

• Divide both sides by a number

In the equation 3x + 12 + 2x = 62, what is the combined term for the left side?

• 3x + 2x

• 3x + 2x + 12

• 5x + 62

• 5x + 12

After combining like terms, what is the next step in solving for x in the equation 5x + 12 = 62?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 12 from both sides

• Add 12 to both sides

What is the value of x in the equation 5x = 50?

• 5

• 10

• 15

• 20

How can you verify the solution to the algebraic problem?

• By checking the original equation with the found value of x

• By asking a friend

• By solving a different equation

• By using a calculator

What should you do after solving for x to ensure your answer is correct?

• Ask the teacher

• Write a new equation

• Plug the value of x back into the original equation

• Recalculate the entire problem