Solving for x in Midpoint Problems

The video tutorial explains the segment addition postulate, which states that the sum of two segments equals the entire segment length. It demonstrates solving algebraic equations to find unknown values and calculate segment lengths. The tutorial also covers the concept of midpoints and how to solve problems involving midpoints and segment lengths.

What does the segment addition postulate state?

• The quotient of two segments equals the length of the entire segment.

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

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

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

In the example, what is the expression for segment MO?

• 2x + 4

• 3x - 5

• 5x + 2

• 17

What is the first step in solving the algebraic equation for x?

• Multiply both sides by 2

• Divide both sides by 3

• Add 5 to both sides

• Combine like terms

After solving for x, what is the value of x?

• 8

• 15

• 5

• 10

What is the result of combining like terms in the equation for x?

• 3x + 15

• 5x + 10

• 2x + 12

• 4x + 8

What is the next step after combining like terms in the equation?

• Subtract 3x from both sides

• Add 5 to both sides

• Multiply both sides by 2

• Divide both sides by 4

What is the final step in solving for x in the segment problem?

• Add 2 to both sides

• Multiply both sides by 5

• Subtract 2 from both sides

• Divide both sides by 2

How do you find the length of segment MO after finding x?

• Multiply x by 5

• Divide x by 3

• Subtract 5 from 3 times x

• Add 5 to 3 times x

What is the total length of segment NO?

• 30

• 27

• 22

• 25

How do you verify the length of segment NO?

• By multiplying the lengths of NM and MO

• By subtracting the length of MO from NM

• By dividing the length of NM by MO

• By adding the lengths of NM and MO