M6|L21 Combining Like Terms (Part 2)Sign out

Write equivalent expressions.
How could you start to write equivalent expressions?
18 − 8(3x − 8)

Start left to right and subtract 18 − 8 first.

Use the distributive property to distribute the -8 to the values within the parentheses.

1 answer

To write equivalent expressions for the given expression 188(3x8), you can apply the distributive property. Here’s how to do it step by step:

  1. Distribute the -8: Multiply -8 by each term inside the parentheses:

    8(3x)+8(8)

    This simplifies to:

    24x+64

  2. Combine with the constant: Now, incorporate the constant 18 from the original expression:

    1824x+64

  3. Combine like terms: Combine the constants (18 and 64):

    8224x

Thus, the equivalent expression for 188(3x8) is:

8224x

This process shows how you can systematically apply the distributive property and combine like terms to generate an equivalent expression.

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