Exploring Linear Equations in Geometry

The video tutorial explains how to find the length of segment KL on a line segment JL with point K. Given the expressions for segments JK and KL in terms of x, and the total length of JL, the tutorial demonstrates setting up and solving an algebraic equation to find x. Once x is determined, it is used to calculate the length of KL.

What is the algebraic expression for the length of segment JK?

• 16x + 18

• 7x + 9

• 9x + 9

• 114

What is the total length of segment JL?

• 9x + 9

• 114

• 123

• 7x + 9

What equation represents the sum of segments JK and KL?

• 7x + 9 + 9x + 9 = 114

• 9x + 9 = 114

• 16x + 18 = 114

• 7x + 9 = 114

How many x's are there when you combine the x terms from JK and KL?

• 7x

• 16x

• 18x

• 9x

What is the combined constant term when adding the constants from JK and KL?

• 20

• 16

• 18

• 22

What is the result of subtracting 18 from 114?

• 96

• 98

• 100

• 102

What is the value of x after solving the equation?

• 8

• 7

• 9

• 6

What operation is performed to isolate the x term in the equation?

• Division

• Multiplication

• Addition

• Subtraction

What is the final expression used to calculate the length of KL?

• 16x + 18

• 114

• 7x + 9

• 9x + 9

What is the length of KL when x equals 6?

• 63

• 54

• 69

• 72