Weight and Age Problem Solving

This video tutorial covers 8th grade math concepts, focusing on balancing equations and solving problems involving hangers, weights, and age puzzles. It includes five main problems: balancing hangers with different shapes, matching equations to a hanger diagram, determining the weight of a square, solving an age-related puzzle, and writing equations for parallel lines. The video concludes with a call to action for viewers to engage with the content.

What is one of the learning targets for this lesson?

• I can solve quadratic equations.

• I can identify different types of triangles.

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

• I can calculate the area of a circle.

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

• The left side becomes heavier.

• The hanger becomes unbalanced.

• The right side becomes heavier.

• The hanger remains balanced.

Which of the following changes will NOT keep the hanger balanced?

• Adding two triangles to each side.

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

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

• 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?

• 3 pounds

• 2.5 pounds

• 2 pounds

• 4 pounds

Which equation matches the hanger in Problem 2?

• 4x + 11 = 2x + 11.5

• 2x = 0.5

• 2x + 3 = 3

• 4x + 5 + 6 = 2x + 2.5 + 9

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

• 6 grams

• 7 grams

• 8 grams

• 9 grams

In the age puzzle, how old is Andre?

• 11 years

• 13 years

• 15 years

• 16 years

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

• 3/4

• 6/7

• 4/5

• 5/6

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

• 3.2

• 5

• 0

• -3.2

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

• 88

• 86

• 87

• 85