Simplifying Expressions by Identifying Like Terms

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This content discusses the concept of like terms in algebraic expressions and explains how to identify and simplify expressions by collecting like terms. It provides visual examples and prompts for practice to enhance understanding.

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Simplifying Expressions: Discuss: Which of these expressions contain a pair of like terms? How do you know? ???+ ??? ?? + ?? ? ? + ? ?

3? + 3? Like / Unlike 3? 3? Like / Unlike 3? 2? Like / Unlike 3? 2? Like / Unlike In pairs: 5? 2? Like / Unlike Decide which expressions contain ONLY like terms 5?2 2? Like / Unlike 5?2 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike

5?2+ 2?2 Like / Unlike 5? 2+ 2? 2 5? 2+ 2? 2 Like / Unlike Like / Unlike 5? 2+ 2? 3 Like / Unlike 5? 2+ 2? 3 ? Like / Unlike 5? 4+ 2? 4 ? 4 Like / Unlike 5? 4.7+ 2? 4.7 ? 4.7 Like / Unlike 4 7+ 2? 4 7 ? 4 7 5? Like / Unlike 4 7+ 2? 4 7 ? 4 7 Like / Unlike 5?

5 ? + 2 ? ? Like / Unlike 5 ? + 2 ? ? Like / Unlike 5? + 2 ? ? Like / Unlike 5? + 2 ? ?2 Like / Unlike

3? + 3? Like / Unlike 3? 3? Like / Unlike 3? 2? Like / Unlike 3? 2? Like / Unlike 5? 2? Like / Unlike 5?2 2? Like / Unlike 5?2 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike

5?2+ 2?2 Like / Unlike 5? 2+ 2? 2 Like / Unlike 5? 2+ 2? 2 Like / Unlike 5? 2+ 2? 3 Like / Unlike 5? 2+ 2? 3 ? Like / Unlike 5? 4+ 2? 4 ? 4 Like / Unlike 5? 4.7+ 2? 4.7 ? 4.7 Like / Unlike 4 7+ 2? 4 7 ? 4 7 5? Like / Unlike 4 7+ 2? 4 7 ? 4 7 Like / Unlike 5?

5 ? + 2 ? ? Like / Unlike 5 ? + 2 ? ? Like / Unlike 5? + 2 ? ? Like / Unlike 5? + 2 ? ?2 Like / Unlike

Your Turn: In your books copy and complete the following: 6? + 6? Like / Unlike 13? 27? Like / Unlike 13?2 27? Like / Unlike 13?2 27? 2 Like / Unlike Like / Unlike 13 ? 27 ?

Mark your work 6? + 6? Like / Unlike 13? 27? Like / Unlike 13?2 27? Like / Unlike 13?2 27? 2 Like / Unlike Like / Unlike 13 ? 27 ?

Collecting like terms "Like terms" are terms whose variables (and their powers such as the 2 in x2) are the same. The coefficients may be different. Algebraic expressions can be simplified by collecting like terms

Simplify a + a + a + a + a = 5a a a a a a 5a

And another 3c + 2c + c = 6c 3c 2c c 6c

And another 4d + d + d d = 5d 4d d d -d 5c

And another e2 + 2e2 = 3e2 2e2 e2 3e2

And another 2a + 3b + 4a + b = 6a + 4b 2a 3b 4a b 2a 4a 3b b 3b b 2a 4a 6a + 4b

And another -2a - 3b + 4a + b = 2a 2b 4a b -2a -3b

On your whiteboards Simplify the following expressions by collecting like terms.

4d + d + 3d 8d

5d -2d + 3d 6d

5p + 4q 2p + q 3p + 5q

5s - t +s + t 6s

2p2 +3p2 4p2 p2

3pq - 4 + 5pq 8pq - 4

TITLE: Collecting Like Terms Worked Example Your Turn ????????3? + 4? + 2? ? 2p 3p 4? ? Working out: 3? + 2? = 5? 4? ? = 3? Answer: 5? + 3?

In your books, fully simplify each expression 1. ? + ? + 2? + 3? 2. 2? + 3? + ? + 8? 3. 3? + ? + 4? + 2? 4. 5? + 9? + 4? + 6? 5. ? + 8? + 2? + ? 6. 4? + ? + 3? + 2? 7. 3? + 3? + 7? 3? 8. 8? + 3? 6? + 2? 9. 2?2 ?? + 3?2 + 4?? 4?2 ?2 10. 1 2??2 2??2+3 4??2