Simplify the expression: 9f + 4 + 2f ____

Identify Like Terms: Identify like terms in the expression 9f + 4 + 2f. Like terms are terms that contain the same variable raised to the same power. Here, 9f and 2f are like terms because they both contain the variable f raised to the first power.Combine Like Terms: Combine the like terms 9f and 2f. To combine like terms, add their coefficients (the numbers in front of the variables). The coefficients of 9f and 2f are 9 and 2, respectively. 9f + 2f = (9 + 2)f 9f + 2f = 11fRewrite Expression: Rewrite the expression with the combined like terms. The original expression was 9f + 4 + 2f. After combining like terms, we replace 9f + 2f with 11f. 9f + 4 + 2f becomes 11f + 4Check for Simplifications: Check for any other like terms or simplifications. The expression 11f + 4 has no further like terms to combine, and there are no other simplifications that can be made.

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Simplify the expression: $\newline$ $9f + 4 + 2f$

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Math Problems

Grade 8

Add and subtract linear expressions

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Q. Simplify the expression:

\newline

9f + 4 + 2f

Identify Like Terms: Identify like terms in the expression $9f + 4 + 2f$ . Like terms are terms that contain the same variable raised to the same power. Here, $9f$ and $2f$ are like terms because they both contain the variable $f$ raised to the first power.
Combine Like Terms: Combine the like terms $9f$ and $2f$ . To combine like terms, add their coefficients (the numbers in front of the variables). The coefficients of $9f$ and $2f$ are $9$ and $2$ , respectively. $9f + 2f = (9 + 2)f$ $9f + 2f = 11f$
Rewrite Expression: Rewrite the expression with the combined like terms. $\newline$ The original expression was $9f + 4 + 2f$ . After combining like terms, we replace $9f + 2f$ with $11f$ . $\newline$ $9f + 4 + 2f$ becomes $11f + 4$
Check for Simplifications: Check for any other like terms or simplifications. The expression $11f + 4$ has no further like terms to combine, and there are no other simplifications that can be made.