Comparing Powers and Costs

This video tutorial covers Unit 6 Lesson 15 on equivalent exponential expressions. It begins with evaluating expressions when x equals 3, followed by evaluating expressions for various x values. The tutorial then compares different exponential expressions to determine which has a larger value. It also includes matching equations to their solutions and calculating costs of amusement park passes. Finally, it demonstrates calculating reading rates using a double number line and a table.

What is the result of 2 raised to the power of 3?

• 9

• 12

• 6

• 8

If x equals 1/2, what is the value of x squared?

• 1

• 1/4

• 1/8

• 1/2

Which is greater: 2 to the third power or 3 to the second power?

• Cannot be determined

• They are equal

• 3 to the second power

• 2 to the third power

What is the value of 4 squared compared to 2 to the fourth power?

• 2 to the fourth power is greater

• 4 squared is greater

• They are equal

• Cannot be determined

If 1 to the power of 31 is compared to 31 to the power of 1, which is greater?

• 1 to the power of 31

• Cannot be determined

• 31 to the power of 1

• They are equal

For the equation 7 + x^2 = 16, what is the value of x?

• 3

• 5

• 2

• 4

If a child's pass costs $5, how much does an adult pass cost if it is 1.6 times more?

• $6

• $7

• $8

• $9

How many pages can Jada read in 60 minutes if she reads 5 pages every 20 minutes?

• 25

• 20

• 15

• 10

What is the cost of an adult pass if a child's pass costs $15?

• $26

• $20

• $24

• $22

Which strategy is more efficient for finding how many pages Jada reads in an hour?

• Using a calculator

• Guessing

• Using a table

• Using a double number line