Water Tank Problems and Angle Measures

This video tutorial covers various mathematical concepts for 7th-grade students, including the relationships of angles, the use of equilateral triangles to form angles, and calculations involving octagons and squares. It also explores solving equations related to water tank levels, applying the distributive property in algebraic expressions, and understanding weight gain over time. The tutorial provides practical problems to enhance understanding of these concepts.

What is the measure of a straight angle?

• 60 degrees

• 90 degrees

• 45 degrees

• 180 degrees

How can you identify a right angle?

• It measures 180 degrees

• It forms a straight line

• It measures 60 degrees

• A square fits perfectly inside it

How many equilateral triangles are needed to form a straight angle?

• Two

• Three

• Four

• Five

Can two equilateral triangles form a right angle?

• Yes, but with a gap

• No, they exceed a right angle

• No, they form a straight angle

• Yes, exactly

What is the measure of each angle inside a regular octagon?

• 150 degrees

• 120 degrees

• 135 degrees

• 90 degrees

What does the equation 10 - 0.035d = 4 represent in the water tank problem?

• The rate of water decrease

• The final water height

• The initial water height

• The time until refilling is needed

After how many days will the water tank need refilling if it decreases by 3.5 cm daily?

• 150 days

• 50 days

• 200 days

• 100 days

What is the result of applying the distributive property to -3(2x - 4)?

• -6x + 12

• 6x + 12

• -6x - 12

• 6x - 12

How does the distributive property simplify 1/10(-90 + 50a)?

• 9 + 5a

• -9 - 5a

• -9 + 5a

• 9 - 5a

How many days does it take for Lin's puppy to gain one pound?

• 16 days

• 12 days

• 8 days

• 4 days