Evaluating Exponents and Expressions

This video tutorial teaches how to evaluate algebraic expressions with exponents. It covers the importance of the order of operations, focusing on exponents, and highlights common mistakes. The tutorial provides examples of evaluating expressions using substitution and demonstrates how changing variables affects the expression's value.

What is the first step in evaluating an algebraic expression with exponents?

• Subtract the exponent from the base

• Follow the order of operations

• Add all numbers first

• Multiply the base by the exponent

Which operation should be performed first according to the order of operations?

• Multiplication

• Subtraction

• Exponents

• Addition

What is the correct order of operations?

• Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

• Addition, Subtraction, Multiplication, Division

• Exponents, Parentheses, Multiplication, Division

• Parentheses, Exponents, Addition, Subtraction

What is a common mistake when using exponents?

• Multiplying the base by the exponent

• Adding the base and the exponent

• Subtracting the exponent from the base

• Dividing the base by the exponent

How can '5 squared minus a number' be expressed using a variable?

• 5 squared minus y

• 5 times 2 minus y

• 5 to the second power minus x

• 5 plus 2 minus y

What is the expanded form of x squared?

• x times x

• x minus x

• x plus x

• x divided by x

What is the value of the expression x squared plus 8 when x equals 5?

• 40

• 33

• 30

• 25

What does x squared mean in terms of factors?

• x is used as a factor one time

• x is used as a factor four times

• x is used as a factor three times

• x is used as a factor two times

If x equals 10, what is the value of x squared plus 8?

• 100

• 108

• 110

• 120

What is the result of 10 times 10 plus 8?

• 118

• 100

• 108

• 110