Evaluating Algebraic Expressions with Exponents

This video tutorial teaches how to evaluate algebraic expressions using exponents. It begins with an introduction to algebraic expressions and the importance of the order of operations. The tutorial highlights common mistakes when using exponents and demonstrates the correct method of substitution in expressions. It provides step-by-step evaluations of the expression x squared plus 8 for x=5 and x=10, emphasizing the correct application of the order of operations. The lesson concludes with a summary of the key points covered.

What is the first step in the order of operations when evaluating expressions?

• Perform operations inside parentheses

• Evaluate exponents

• Add or subtract from left to right

• Multiply or divide from left to right

When evaluating 4 to the second power, what common mistake should be avoided?

• Dividing the base by the exponent

• Subtracting the exponent from the base

• Multiplying the base by the exponent

• Adding the base and the exponent

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

• 25

• 35

• 33

• 30

How is the expression x squared written in expanded form?

• x / x

• x + x

• x - x

• x * x

What is the value of the expression x squared plus 8 when x equals 10?

• 120

• 100

• 108

• 110