Understanding Exponents in Real-World Problems

The video tutorial provides practice in constructing expressions with exponents to solve real-world problems. It covers calculating the surface area of cubes, modeling population growth, and determining the area of a wall excluding windows. The tutorial emphasizes understanding exponent notation and applying it to practical scenarios.

What is the total number of sides on a cube?

• 4

• 5

• 6

• 8

If a cube has sides of length 4 units, what is the area of one side?

• 20 square units

• 8 square units

• 12 square units

• 16 square units

How can you express the surface area of a cube with side length 2.5 units using exponents?

• 6 x 2.5

• 6 x 2.5^2

• 2.5^2

• 6 x 2.5 x 2

What does writing a number next to parentheses in an expression typically indicate?

• Subtraction

• Addition

• Multiplication

• Division

If a town's population triples every year, how would you express its population after 6 years?

• Initial population - 3^6

• Initial population + 3^6

• Initial population x 3^6

• Initial population x 6^3

What is the initial population of Boom Town when it was established?

• 1,000

• 1,050

• 1,550

• 1,500

How do you calculate the area of a square wall with side length 4 meters?

• 4 + 4

• 4 x 4

• 4^2

• 4 x 2

If a window has sides of 1.5 meters, what is the area of one window?

• 4.5 square meters

• 3 square meters

• 2.25 square meters

• 1.5 square meters

How would you express the area of three windows each with sides of 1.5 meters?

• 3 x 1.5

• 1.5^3

• 3 x 1.5^2

• 3 + 1.5^2

What is the expression for the area of a wall excluding three windows?

• 4^2 x 3 x 1.5^2

• 4^2 - 3 x 1.5^2

• 4^2 + 3 x 1.5^2

• 4 x 1.5^2