Evaluating Exponential and Algebraic Expressions

Mr. Richards reviews practice problems for Grade 6, Unit 6, Lesson 15. The lesson covers evaluating expressions with given values, understanding order of operations, matching equations to solutions, and comparing expressions to determine larger values. Real-world applications are also discussed, such as calculating costs based on given conditions. The lesson concludes with a summary of key concepts and strategies for solving problems.

What is the value of 2 to the power of 3?

• 6

• 8

• 9

• 12

If x equals 3, what is the value of 3 squared?

• 9

• 6

• 12

• 15

Evaluate 2 plus x cubed when x is 3.

• 11

• 19

• 27

• 29

What is the result of 3x squared plus y if x is 5 and y is 3?

• 53

• 78

• 83

• 103

Which value of x satisfies the equation 7 plus x squared equals 16?

• 2

• 5

• 4

• 3

In the equation 5 minus x squared equals 1, what is the value of x?

• 4

• 3

• 2

• 1

Which expression has a larger value: 2 to the third or 3 squared?

• Cannot be determined

• 2 to the third

• They are equal

• 3 squared

What is larger: 1/2 to the third power or 1/3 squared?

• 1/3 squared

• 1/2 to the third

• They are equal

• Cannot be determined

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

• $7

• $6

• $8

• $9

Jayda reads 5 pages every 20 minutes. How many pages can she read in one hour?

• 25

• 20

• 15

• 10