Hanger Balance and Age Problems

This video tutorial covers 8th grade math concepts, focusing on balancing equations and solving problems involving hangers, weights, and parallel lines. It includes practical examples and puzzles to enhance understanding. The video encourages interaction through likes, comments, and subscriptions.

What is one of the learning targets for this lesson?

• I can identify different types of triangles.

• I can calculate the area of a circle.

• I can add or remove blocks from a hanger and keep it balanced.

• I can solve quadratic equations.

In Problem 1, what happens if you add two circles on the left and a square on the right?

• The right side becomes heavier.

• The left side becomes heavier.

• The hanger becomes unbalanced.

• The hanger remains balanced.

Which change will NOT keep the hanger balanced in Problem 1?

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

• Adding two triangles to each side.

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

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

In Problem 2, what is the weight of each triangle in the hanger diagram?

• 2.5 pounds

• 4 pounds

• 2 pounds

• 3 pounds

Which equation matches the hanger in Problem 2?

• 2x + 3 = 3

• 4x + 5 + 6 = 2x + 9

• 4x + 11 = 2x + 11.5

• 2x = 0.5

What is the weight of a square if a triangle weighs 4 grams?

• 8 grams

• 7 grams

• 9 grams

• 6 grams

In the age puzzle, how old is Andre?

• 11 years

• 13 years

• 16 years

• 15 years

What is the slope of the parallel lines in Problem 5?

• 3/4

• 4/5

• 5/6

• 6/7

What is the y-intercept of the second line in Problem 5?

• 5

• -3.2

• 0

• 3.2

What is the total sum of ages in the family age puzzle?

• 87

• 85

• 88

• 86