Evaluating Algebraic Expressions

This video tutorial explains how to evaluate algebraic expressions by substituting variable values and applying the order of operations, also known as PEMDAS. The example used is the expression 8a minus 3b divided by 2, with a set to 2 and b set to 4. The tutorial covers the importance of using parentheses during substitution, and it walks through each step of the order of operations, including multiplication, division, and subtraction, to arrive at the final result of 10.

What is the first step when evaluating an algebraic expression?

• Perform addition and subtraction

• Substitute the values of the variables

• Evaluate exponents

• Perform multiplication and division

Which of the following is the correct order of operations?

• Addition, Subtraction, Multiplication, Division

• Multiplication, Division, Addition, Subtraction

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

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

What is the result of 8 multiplied by 2?

• 16

• 10

• 12

• 14

After substituting the values, what is the result of 3 multiplied by 4?

• 8

• 12

• 10

• 6

What is the final value of the expression 8a - 3b / 2 when a = 2 and b = 4?

• 8

• 10

• 12

• 14