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Distributing and Combining Like Terms in Algebra Expressions

This guide explains how to distribute and combine like terms in algebraic expressions. Start by distributing coefficients across parentheses, simplifying the expression. Then, identify and combine like terms to formulate the final answer. For instance, in the expression 3(x + 5) - 8, distribute to get 3x + 15 - 8, and combine to find the answer as 3x + 7. Practice with additional examples such as 2(3x + 2) + 2x to master this essential algebraic skill.

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Distributing and Combining Like Terms in Algebra Expressions

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  1. Distributing & Combining Like Terms in Expressions

  2. Distributing & Combining Like Terms • Distribute first • Then combine like terms Example 1: 3(x + 5) - 8 Get rid of any zero pairs. Count up what you have left and that will be your answer! Group 2 Answer: 3x + 7 Group 1 Group 3

  3. Example 2 2(3x + 2) + 2x Group 1 Group 2 Get rid of any zero pairs. Then count up what you have left. What you have left will be your answer. Answer: 8x + 4

  4. Example 3 2(x – 4) + -3x + 5 Group 1 Group 2 Cross of zero pairs. Answer: -x - 3

  5. Try these with your algebra tiles • 2(2x – 3) + 6 • 2(2x - 4) + 10 • -5x + 2(x – 3) • 5(x – 2) + 7 • 3(-x + 3) + x - 2 • 2(x - 4) + 2(-x + 5) 4x - 3 4x + 6 -3x - 6 5x - 3 -2x + 7 2

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