Which expression is equivalent to 2p + 2p? Choices: (A)5p (B)4p (C)p^4 (D)p + 4

Identify Terms: Identify the terms in the expression. The expression given is 2p + 2p. Both terms have the same variable part 'p' and the same coefficient '2'.Combine Like Terms: Combine like terms. Since both terms are like terms (they have the same variable part), we can add the coefficients. 2p + 2p = (2 + 2)pPerform Addition: Perform the addition of the coefficients. Add the coefficients 2 and 2. (2 + 2)p = 4pCheck Answer Choices: Check the answer choices to find the equivalent expression. The equivalent expression to 2p + 2p is 4p, which matches choice (B).

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Which expression is equivalent to $2p + 2p$ ? $\newline$ Choices: $\newline$ (A) $5p$ $\newline$ (B) $4p$ $\newline$ (C) $p^4$ $\newline$ (D) $p + 4$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

2p + 2p

\newline

Choices:

\newline

(A)

5p

\newline

(B)

4p

\newline

(C)

p^4

\newline

(D)

p + 4

Identify Terms: Identify the terms in the expression. $\newline$ The expression given is $2p + 2p$ . Both terms have the same variable part ' $p$ ' and the same coefficient ' $2$ '.
Combine Like Terms: Combine like terms. $\newline$ Since both terms are like terms (they have the same variable part), we can add the coefficients. $\newline$ $2p + 2p = (2 + 2)p$
Perform Addition: Perform the addition of the coefficients. $\newline$ Add the coefficients $2$ and $2$ . $\newline$ $(2 + 2)p = 4p$
Check Answer Choices: Check the answer choices to find the equivalent expression. The equivalent expression to $2p + 2p$ is $4p$ , which matches choice $(B)$ .