Simplify each expression. See Example 8.

-6p + 5 - 4p + 6 + 11p

Question

Simplify each expression. See Example 8.

-6p + 5 - 4p + 6 + 11p

Accepted Answer

Hey, everyone here we are asked to perform the indicated operations to simplify the given algebraic expression negative eight K plus 11 minus two K plus seven plus 17 K. Here we have four answer choice options, answer choice, A seven K minus 18, answer B seven K plus 18, answer C negative 27 K plus and answer D negative 27 K minus 19. So to begin simplifying our given expression, we want to start by grouping together our like terms. So starting with the terms that contain the variable K, we have the group negative eight K minus two K plus 17 K. And now making our next group of terms, we will have our whole numbers. So we have plus 11 plus seven. So now with our two groups, we can begin combining the like terms. So first, we have negative eight K minus two K which gives us negative 10-K and then we still have plus K. And now with our whole numbers, we again have 11 plus seven. So then we just have plus 18. And so continuing to combine our K terms negative 10-K plus 17 K gives us seven K and then we still have plus 18. And with this, we have found our fully simplified expression. And so we are left here with answer choice B where again, we have seven K plus 18. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Simplify each expression. See Example 8. -6p + 5 - 4p + 6 + 11p

Key Concepts

Combining Like Terms

Order of Operations

Constant Terms

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