Simplify the expression: -5p + 3p + -2p + 8p ____

Identify Like Terms: Identify like terms in the expression -5p + 3p + -2p + 8p. Like terms are terms that contain the same variable raised to the same power. In this case, all terms are like terms because they all contain the variable 'p'.Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. -5p + 3p + -2p + 8p = (-5 + 3 - 2 + 8)pPerform Arithmetic Operations: Perform the arithmetic operations on the coefficients. -5 + 3 - 2 + 8 = -2 - 2 + 8 = -4 + 8 = 4Write Final Expression: Write the final simplified expression. Since the sum of the coefficients is 4, the simplified expression is: 4p

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Simplify the expression: $\newline$ $-5p + 3p + -2p + 8p$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

-5p + 3p + -2p + 8p

Identify Like Terms: Identify like terms in the expression $-5p + 3p + -2p + 8p$ . Like terms are terms that contain the same variable raised to the same power. In this case, all terms are like terms because they all contain the variable $p$ .
Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. $\newline$ $-5p + 3p + -2p + 8p$ $\newline$ $= (-5 + 3 - 2 + 8)p$
Perform Arithmetic Operations: Perform the arithmetic operations on the coefficients. $\newline$ $-5 + 3 - 2 + 8$ $\newline$ $= -2 - 2 + 8$ $\newline$ $= -4 + 8$ $\newline$ $= 4$
Write Final Expression: Write the final simplified expression. $\newline$ Since the sum of the coefficients is $4$ , the simplified expression is: $\newline$ $4p$