Solving Linear Equations and Segments

This video tutorial from YourTeacher.com explains how to solve a geometry problem involving midpoints. It covers the process of finding the values of X and Y by using properties of midpoints and triangles. The tutorial begins with an introduction to the problem, followed by step-by-step solutions for finding X and Y, emphasizing the use of geometric principles.

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• History lessons

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• Science experiments

• Language arts

What is the role of Q in the given problem?

• Q is the endpoint of segment PS

• Q is the endpoint of segment PR

• Q is the midpoint of segment PR

• Q is the midpoint of segment PS

What is the role of T in the given problem?

• T is the midpoint of segment PR

• T is the endpoint of segment PS

• T is the midpoint of segment PS

• T is the endpoint of segment PR

If Q is the midpoint of segment PR, what equation can be set up to find x?

• 5x - 2 = 10

• 5x + 2 = 12

• 5x - 2 = 12

• 5x + 2 = 10

What is the value of x when 5x + 2 = 12?

• x = 2

• x = 1

• x = 3

• x = 4

What is the first step to solve 5x + 2 = 12?

• Divide both sides by 5

• Subtract 2 from both sides

• Multiply both sides by 5

• Add 2 to both sides

What is the result after subtracting 2 from both sides in the equation 5x + 2 = 12?

• 5x = 10

• 5x = 12

• 5x = 16

• 5x = 14

What is the final step to solve for x in the equation 5x = 10?

• Multiply both sides by 5

• Add 5 to both sides

• Divide both sides by 5

• Subtract 5 from both sides

What property of midpoints is used to find the value of y?

• A segment joining midpoints of two sides of a triangle is three times the length of the third side

• A segment joining midpoints of two sides of a triangle is half the length of the third side

• A segment joining midpoints of two sides of a triangle is twice the length of the third side

• A segment joining midpoints of two sides of a triangle is equal to the third side

What equation is set up to find y when segment QT equals half the length of segment RS?

• 2y + 6 = 14

• 2y + 6 = 28

• 2y - 6 = 14

• 2y - 6 = 28