Adding and Subtracting Rational Expressions

This video tutorial covers the concepts of parallel lines and transversals in algebra, focusing on different types of angles such as alternate exterior, alternate interior, consecutive interior, and corresponding angles. The tutorial provides step-by-step solutions to problems involving these angles, emphasizing the importance of understanding angle congruency and supplementary relationships. The video also includes complex problem-solving examples to reinforce the learning objectives.

What property do alternate exterior angles have?

• They are complementary.

• They are congruent.

• They are adjacent.

• They are supplementary.

How do you solve for x when given 8x + 19 = 139?

• Subtract 19 from both sides.

• Multiply both sides by 8.

• Add 19 to both sides.

• Divide both sides by 8.

What is the value of x when 17x - 45 = 108?

• 9

• 12

• 15

• 6

What relationship do interior angles on the same side of the transversal have?

• They are congruent.

• They are adjacent.

• They are supplementary.

• They are complementary.

How do you find the value of x in 9x + 14 + 3x + 10 = 180?

• Subtract 24 from both sides.

• Add 24 to both sides.

• Multiply both sides by 12.

• Divide both sides by 12.

What is the measure of angle CBE if 14x + 17 = 19x - 23 and x = 8?

• 135 degrees

• 112 degrees

• 118 degrees

• 129 degrees

What type of angles are angle X Y V and angle Y V W if they are congruent?

• Alternate exterior angles

• Consecutive interior angles

• Corresponding angles

• Alternate interior angles

If the measure of angle 2 is 7x + 13 and the measure of angle 8 is 10x - 44, what is x?

• 12

• 19

• 15

• 10

What is the supplement of 146 degrees?

• 34 degrees

• 44 degrees

• 36 degrees

• 24 degrees

If angle 6 is 8x - 3 and angle 7 is 15x - 1, and they are consecutive interior angles, what is the measure of angle 7 when x = 8?

• 134 degrees

• 119 degrees

• 61 degrees

• 120 degrees