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Distributive Property: Word Problems — Word Problems

Read each situation, then write two equivalent expressions — a product (with parentheses) and a sum — using the distributive property.

Example

You buy 3 tickets. Each ticket is $n, plus a $2 snack. Write two equivalent expressions for the total cost — one as a product, one as a sum.

Product:3(n + 2)Sum:3n + 6
  1. 1.

    A club buys 3 gift bags. Each has a toy that costs $n and a card that costs $2. Write two equivalent expressions for the total cost — one as a product, one as a sum.

    Product:Sum:
  2. 2.

    A garden bed is 6 ft wide and (3x + 5) ft long. Write two equivalent expressions for its area — one as a product, one as a sum.

    Product:Sum:
  3. 3.

    You buy 4 tickets. Each ticket is $x, plus a $9 snack. Write two equivalent expressions for the total cost — one as a product, one as a sum.

    Product:Sum:
  4. 4.

    You pack 7 lunch bags. Each holds a sandwich that costs $n and juice that costs $2. Write two equivalent expressions for the total cost — one as a product, one as a sum.

    Product:Sum:
  5. 5.

    A rug is 7 ft wide and (x + 7) ft long. Write two equivalent expressions for its area — one as a product, one as a sum.

    Product:Sum: