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Write the expanded form of 4(9a + b - 6). 4. Use the Distributive Property to expand the expression x² -...

3. Write the expanded form of 4(9a + b - 6).
4. Use the Distributive Property to expand the expression x² - 6.4 - 3.5x.
5. The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.
□ 10.5(12) square feet
□ (10.5 + 12 + x) square feet
□ 10.5(12 + x) square feet
□ 12x square feet
□ (12x + 10.5x) square feet
□ (22.5 + x) square feet

Answer

  1. The expanded form of 4(9a + b - 6) is 36a + 4b - 24.

  2. Using the Distributive Property, the expanded form of x² - 6.4 - 3.5x is x² - 3.5x - 6.4.

  3. The expressions that represent the area of the living room in square feet are:

    • 10.5(12 + x) square feet
    • (12x + 10.5x) square feet

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