Set 4 Interpret Algebraic Expressions in Real-World Problems
Identify and interpret the parts of each expression.

1. A pen costs . The expression represents the cost of buying 4 notebooks
   and a pen. What is the product in the expression? What does the product represent?
2. Henry has 50 apples. He gives 4 apples each to friends. What is the difference in
   the expression ? What does the difference represent?
3. The number of roses and daisies in 5 bouquets is . What is the sum in the
   expression? What does the sum represent?

1) Cost of 4 Notebooks and a Pen

• Cost of a pen: $2.50
• Expression:

• What is the product in the expression?
• What does the product represent?

• Product Identification:
  • In the expression , the term is the product.
  • Product:
• Interpretation of the Product:
  • Here, represents the cost of one notebook.
  • Multiplying by 4 ( ) gives the total cost for 4 notebooks.

• Product:
• Represents: The total cost of purchasing 4 notebooks.

2) Henry’s Apples Distribution

• Total apples Henry has: 50
• Apples given to each friend: 4
• Expression:

• What is the difference in the expression?
• What does the difference represent?

• Difference Identification:
  • In the expression , the entire expression represents the difference.
  • Difference:
• Interpretation of the Difference:
  • stands for the number of friends.
  • calculates the total number of apples given away ( apples to each of friends).
  • Subtracting from 50 ( ) gives the remaining apples Henry has after distributing.

• Difference:
• Represents: The number of apples remaining after Henry gives 4 apples to each of friends.

3) Number of Roses and Daisies in Bouquets

• Number of bouquets: 5
• Expression:

• What is the sum in the expression?
• What does the sum represent?

• Sum Identification:
  • Inside the parentheses is the sum.
  • Sum:
• Interpretation of the Sum:
  • represents the number of roses in one bouquet.
  • represents the number of daisies in one bouquet.
  • Adding them together ( ) gives the total number of flowers per bouquet.
• The entire expression then calculates the total number of roses and daisies in 5 bouquets.

• Sum:
• Represents: The **total number of roses and daisies in one bouquet.