Solving Equations and Distance Problems

The video tutorial explains a geometry problem involving collinear points F, G, and H. It starts by introducing the problem and the concept of collinearity. The tutorial then explains how to solve for the variable X using the given information about the distance GH. Once X is determined, the video demonstrates how to calculate the distances FG and FH. The tutorial concludes with tips on solving similar problems and emphasizes the importance of showing work for equations and calculations.

What is the given distance between points G and H?

• 14

• 20

• 16

• 36

What is the value of GH in the problem?

• 17

• 15

• 14

• 16

What does it mean for points F, G, and H to be collinear?

• They form a circle.

• They are at equal distances.

• They are on the same line.

• They form a triangle.

Where is point G located in relation to points F and H?

• Between F and H

• To the right of H

• To the left of F

• Above F and H

What is the algebraic expression given for GH?

• 2x + 2

• 3x + 1

• x + 5

• 4x - 3

What equation is set up to find the value of x?

• 4x - 3 = 16

• 3x + 1 = 16

• 2x + 2 = 16

• x + 5 = 16

What is the first step in solving the equation 2x + 2 = 16?

• Add 2 to both sides.

• Divide both sides by 2.

• Multiply both sides by 2.

• Subtract 2 from both sides.

What is the value of x after solving the equation?

• 5

• 6

• 7

• 8

What is the final step in solving for x in the equation 2x = 14?

• Add 2 to both sides.

• Divide both sides by 2.

• Subtract 2 from both sides.

• Multiply both sides by 2.

How is the distance FG calculated using x?

• 4x - 3

• x + 5

• 2x + 2

• 3x - 1