Solving Linear Equations and Segments

The video tutorial explains the segment addition postulate, which states that if a point J is between points H and K, then the sum of the segments HJ and JK equals HK. The instructor solves four problems using this postulate, demonstrating substitution and solving for X. Each problem involves setting up equations, solving them, and verifying the results. The tutorial emphasizes mental math and understanding the postulate's application.

What does the segment addition postulate state?

• If two lines are parallel, they never meet.

• The product of two segments is equal to the whole segment.

• The sum of angles in a triangle is 180 degrees.

• If a point is between two other points, the sum of the two segments equals the whole segment.

In the first problem, what is the value of x if HJ = 2x, JK = 3x, and HK = 25?

• 5

• 4

• 6

• 3

What is the length of segment HJ in the first problem?

• 5

• 10

• 15

• 20

What is the first step in solving the first problem?

• Divide the total length by 2.

• Use substitution to replace segment values.

• Multiply the segments.

• Add the segments together.

In the first problem, what is the total length of segment HK?

• 30

• 20

• 35

• 25

In the second problem, what is the equation set up to solve for x?

• x/4 + 3x - 4 = 22

• x/4 + 3x = 22

• x/4 + 3x = 26

• x/4 + 3x - 4 = 26

What is the value of x in the second problem?

• 6

• 7

• 9

• 8

What is the length of segment JK in the second problem?

• 22

• 20

• 18

• 24

In the second problem, what operation is used to eliminate the fraction?

• Division

• Multiplication

• Subtraction

• Addition

In the second problem, what is the length of segment HJ?

• 4

• 2

• 1

• 3