Simplify the expression: 4f + 5f + -f + -3f ____

Identify Like Terms: Identify like terms in the expression 4f + 5f + -f + -3f. 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 f raised to the first power.Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. 4f + 5f + -f + -3f = (4f + 5f) + (-f + -3f) = 9f + (-4f)Add Combined Terms: Add the results from the previous step to get the final simplified expression. 9f + (-4f) = 5f

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Simplify the expression: $\newline$ $4f + 5f + -f + -3f$

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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

4f + 5f + -f + -3f

Identify Like Terms: Identify like terms in the expression $4f + 5f + -f + -3f$ . 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 $f$ raised to the first power.
Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. $\newline$ $4f + 5f + (-f) + (-3f)$ $\newline$ = $(4f + 5f) + ((-f) + (-3f))$ $\newline$ = $9f + (-4f)$
Add Combined Terms: Add the results from the previous step to get the final simplified expression. $\newline$ $9f + (-4f) = 5f$