Balancing Hangers and Weight Problems

The video covers the concept of balance hangers, using socks and blocks to illustrate how balance is achieved. It explores solving for unknown weights using equations and discusses homework problems related to these concepts. Additionally, a family age puzzle is solved, and parallel lines are discussed, emphasizing the importance of balance in equations.

What causes the hanger to become unbalanced when using socks?

• The socks are too small.

• The socks are different colors.

• One sock is heavier than the other.

• The hanger is broken.

In the hanging blocks activity, what happens if you remove two triangles from one side and three from the other?

• The hanger tips to the side with more triangles removed.

• The hanger remains balanced.

• The hanger tips to the side with fewer triangles removed.

• The hanger breaks.

If a triangle weighs 1 G, what is the weight of a square when the hanger is balanced?

• 2.5 G

• 2 G

• 1 G

• 1.5 G

What is the weight of a square if a triangle weighs 3 G and a circle weighs 6 G in hanger A?

• 4.25 G

• 3.5 G

• 3.75 G

• 4 G

In the homework problem, which change would keep the hanger balanced?

• Removing a square from both sides.

• Adding a circle on the left and a square on the right.

• Adding two circles on the left and a square on the right.

• Adding a triangle on the left and a square on the right.

In the family age puzzle, if Andre is 13, how old is his brother?

• 10

• 13

• 16

• 19

What is the slope of the parallel lines in the final section?

• 3/5

• 4/5

• 5/4

• 2/3