Identify an Equivalent Expression

The video tutorial focuses on solving a standardized test math question using equivalent expressions. It begins with a problem where a student saves money weekly, represented by the expression 5w + 10. The video explores which expressions are equivalent to this, analyzing multiple-choice options and explaining why certain expressions are incorrect. The correct solution is derived by distributing and verifying the expression, concluding with the correct answer.

What does the expression 5w + 10 represent in the context of the problem?

• The total amount of money the student will have after w weeks.

• The amount of money the student spends each week.

• The initial amount of money the student had.

• The number of weeks the student saves money.

Why is the expression 15w not equivalent to 5w + 10?

• Because 15w is a multiplication of terms, not an addition.

• Because 15w includes a constant term.

• Because 15w is a combination of like terms.

• Because 15w only represents the weekly savings.

What is the significance of the constant term in the expression 5w + 10?

• It represents the total savings after w weeks.

• It represents the initial amount of money.

• It represents the weekly savings.

• It represents the number of weeks.

How can you verify that 5w + 10 is the correct expression?

• By subtracting 10 from 5w.

• By adding 5 to 10.

• By distributing 5 across w and 2.

• By multiplying 5 by 10.

What operation is used to check the equivalence of the expression 5w + 10?

• Distribution

• Multiplication

• Subtraction

• Addition