Solving Equations and Angle Relationships

This lesson covers two main topics: geometry and algebra. In the geometry section, the teacher explains transversals, corresponding angles, and alternate exterior and interior angles. Students learn how to identify these angles and calculate their measures. The algebra section focuses on simplifying and solving linear equations, with step-by-step examples to help students understand the process.

What is a transversal in geometry?

• A line that forms a right angle with another line

• A line that is perpendicular to another line

• A line that is parallel to another line

• A line that intersects two or more lines in a plane

Which of the following pairs are corresponding angles?

• Angle 1 and Angle 8

• Angle 2 and Angle 6

• Angle 3 and Angle 5

• Angle 4 and Angle 7

What does 'alternate' mean in the context of alternate exterior angles?

• Same side

• Opposite side

• Adjacent

• Parallel

Which angles are alternate exterior angles?

• Angle 3 and Angle 6

• Angle 4 and Angle 8

• Angle 2 and Angle 7

• Angle 1 and Angle 5

What is the alternate interior angle for Angle 4?

• Angle 6

• Angle 7

• Angle 5

• Angle 8

If Angle 1 is 105°, what is the measure of Angle 5?

• 90°

• 105°

• 120°

• 75°

What is the first step in simplifying the equation 3x + 5 - x = 17 + x - x?

• Make all minuses plus negatives

• Subtract x from both sides

• Add 5 to both sides

• Combine like terms

What is the value of x in the equation 2x + 5 = 17?

• 8

• 5

• 6

• 7

In the equation 5x - 17 = 2x - 5, what is the first step to solve for x?

• Subtract 2x from both sides

• Add 5 to both sides

• Add 17 to both sides

• Subtract 5x from both sides

What is the solution to the equation 3 + 2x - 4 = 32 using the distributive property?

• x = 6

• x = 7

• x = 9

• x = 8