Evaluating Algebraic Expressions Mastery

The video tutorial introduces sixth graders to algebraic expressions, explaining their definition and how they differ from numerical expressions by including variables. It covers the process of evaluating algebraic expressions by substituting given values for variables and using the order of operations. The teacher provides examples and practice problems to reinforce the concepts, encouraging students to solve expressions by substituting values and applying mathematical operations.

What is an algebraic expression?

• A sentence with only operations

• A mathematical sentence with at least one variable and one operation

• A sentence with only variables

• A sentence with only numbers

Which of the following is NOT an operation in algebraic expressions?

• Addition

• Subtraction

• Exponentiation

• Multiplication

What is the first step in evaluating an algebraic expression?

• Add all numbers

• Substitute the given value for each variable

• Multiply all variables

• Divide all terms

What does '5a' represent in an algebraic expression?

• 5 plus a

• 5 divided by a

• 5 times a

• 5 minus a

If a = 5 and b = 2, what is the value of the expression 5a - b?

• 22

• 20

• 25

• 23

In the expression 3x + (7 - r), if x = 2 and r = 3, what is the value?

• 8

• 12

• 10

• 14

What is the value of the expression 30 - 4p + xr when p = 7, x = 2, and r = 3?

• 6

• 10

• 12

• 8

In the expression (6(p - x) + 6) / 2, if p = 7 and x = 2, what is the value?

• 15

• 18

• 22

• 20

What does the slash symbol (/) represent in algebraic expressions?

• Subtraction

• Division

• Multiplication

• Addition

What is the final step in evaluating an algebraic expression?

• Rewrite the expression

• Identify the variables

• Solve using order of operations

• Substitute the values