Pregunta
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Identify like terms in the list. \( 2.2 q ; 3 a^{4} ; 2 q ; 2 t ; z^{4} \) \( a ; 3 a^{4} ; \frac{2}{3} r ; \frac{q}{3} ; 10 r \)

Ask by Black Ramos. in the United States
Feb 26,2025

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Like terms in List 1 are 2.2q and 2q. In List 2, the like terms are (2/3)r and 10r.

Solución

Two terms are "like terms" if they contain the same variables raised to the same powers (only the coefficients can differ). List 1: 2.2q; 3a⁴; 2q; 2t; z⁴ • 2.2q and 2q are like terms (both have the variable q to the first power). • The other terms each have unique variable parts. List 2: a; 3a⁴; (2/3)r; (q)/3; 10r • (2/3)r and 10r are like terms (both are r to the first power). • The terms a, 3a⁴, and (q)/3 do not match any others. Thus, the only groups of like terms are: • In List 1: 2.2q and 2q. • In List 2: (2/3)r and 10r.

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Bonus Knowledge

Like terms are terms that contain the same variable raised to the same power. From your list, the first set of like terms includes \( 2.2 q \) and \( 2 q \) since both terms have the variable \( q \). In the second set, the like terms are \( 3 a^{4} \) and \( a \) does not match, but \( \frac{2}{3} r \) and \( 10 r \) are like terms because they both have the variable \( r \). In the world of algebra, recognizing like terms is key to simplifying expressions and solving equations. It’s like sorting your candy – you wouldn’t mix gummy bears with chocolate bars if you want to enjoy each flavor! By combining like terms, you make calculations easier and your expressions cleaner, paving the way for smoother mathematical journeys ahead.

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