Evaluating Exponential Expressions and Patterns

The lesson covers equivalent exponential expressions, focusing on patterns in expressions with different bases, evaluating expressions with coefficients, and solving equations to find values of x. Activities include identifying patterns, evaluating expressions, and solving equations. The lesson concludes with a summary and homework instructions.

What pattern is observed when evaluating powers of 3 as the exponent increases?

• The values alternate.

• The values remain constant.

• The values decrease.

• The values increase.

When evaluating 1/3 to increasing powers, what happens to the values?

• They increase.

• They decrease.

• They remain the same.

• They become negative.

What is the role of a coefficient in an expression like 2 * x^2?

• It divides the exponent.

• It multiplies the result of the exponentiation.

• It subtracts from the exponent.

• It adds to the exponent.

In the expression 3 * x^2, if x is 10, what is the result?

• 30

• 300

• 100

• 10

If x^2 = 100, what is the value of x?

• 10

• 25

• 50

• 5

What is the cube of 4?

• 128

• 64

• 32

• 16

What is the first step in evaluating an expression like 2 * x^3 when x is 5?

• Multiply 2 by 5.

• Calculate 5^3.

• Add 2 to 5.

• Subtract 2 from 5.

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

• $6

• $10

• $8

• $7.5

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

• 25 pages

• 20 pages

• 15 pages

• 10 pages

What is the result of 2^3?

• 8

• 12

• 6

• 9