Solving Equations and Angle Relationships

The video tutorial covers solving equations by undoing operations, exploring angles and their relationships, understanding if-then statements, and differentiating between supplementary and complementary angles. It also includes solving angle equations and verifying solutions.

What operation would you perform to solve the equation x - 4 = 7?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

When combining like terms, what should you avoid doing?

• Crossing the equal sign

• Adding terms on the same side

• Subtracting terms on the same side

• Multiplying terms on the same side

Why do we use three letters to label angles?

• To specify the rays forming the angle

• To indicate the size of the angle

• To show the angle's position in the diagram

• To differentiate between acute and obtuse angles

What is the measure of angle BAC if angle BGA is 60° and they are complementary?

• 120°

• 90°

• 30°

• 60°

Which of the following is a true if-then statement?

• If it is a weekday, then it is Wednesday

• If you live in Kansas, then you live in the United States

• If it is raining, then it is snowing

• If you are in the United States, then you are in Europe

What operation can you perform on both sides of an equation to maintain balance?

• Add a different number to each side

• Subtract the same number from both sides

• Divide one side by zero

• Multiply one side by a number

What do supplementary angles add up to?

• 180°

• 90°

• 270°

• 360°

If angle A is 34.5° and angles A and B are complementary, what is the measure of angle B?

• 65.5°

• 34.5°

• 45.5°

• 55.5°

How do you solve for X in the equation x + 23 = 180?

• Divide both sides by 23

• Multiply both sides by 23

• Subtract 23 from both sides

• Add 23 to both sides

What is the measure of angle BFA if X is 54° and angles BFA and another angle are complementary?

• 90°

• 72°

• 54°

• 36°