Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.7

Lesson 6.146.14 · Part II

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can use the distributive property to expand and factor expressions.

Remember6.14 · Part II

The Distributive Property

  1. Expand: Multiply the outside factor by each term inside parentheses
  2. Factor: Find the GCF of terms and pull it outside: ab + ac = a(b + c)
  3. Visual: Represent as the area of partitioned rectangles

Words: The Distributive Property (La propiedad distributiva)Distributive Property (Propiedad distributiva)Factor (Factor)Expand (Desarrollar)Equivalent (Equivalente)

  1. 1Complete each step, then write the final answer.

    Use the distributive property to find 4(10 + 2).

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Expand 6(x + 4). Fill in the blank: 6x + ___.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Factor 15x + 25 using the GCF. What number goes outside the parentheses?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    9 ft2 ft6 ft??
    Find the area of each part, then add.

    A garden is 6 feet wide. It has a 9-foot part and a 2-foot part. Use 6(9 + 2) to find its area in square feet.

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    x83??
    Area = width × length.

    A rectangle is 3 units wide and (x + 8) units long. Write its area as an expanded expression: 3x + ___.

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    Factor 8x + 12y + 20 using the GCF. What number goes outside the parentheses?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Expand 6(n + 3) using the distributive property.

    1. A6n + 18
    2. B6n + 3
    3. C6n + 9
    4. Dn + 18
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Expand 4(5 − 2) using the distributive property.

    1. A9
    2. B12
    3. C20 − 2
    4. D22
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Expand 3(x + 4) using the distributive property.

    1. A3x + 12
    2. B3x + 4
    3. C7x
    4. Dx + 12
    Show your work
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