Question
Combine any like terms in the expression. If there are no like terms, rewrite the expression \( 35 q+31 q+21 q+20 q+6 q \) Subst
Ask by Alexander Powers. in the United States
Mar 07,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Combine the like terms to get \( 113q \).
Solution
1. The expression is
\[
35q + 31q + 21q + 20q + 6q.
\]
2. Since all the terms have the variable \( q \), we can combine them by adding their coefficients.
3. Add the coefficients:
\[
35 + 31 = 66,
\]
\[
66 + 21 = 87,
\]
\[
87 + 20 = 107,
\]
\[
107 + 6 = 113.
\]
4. Multiply the sum of the coefficients by \( q \):
\[
113q.
\]
5. Therefore, the simplified expression is
\[
113q.
\]
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Simplify this solution Bonus Knowledge
To combine the like terms in the expression \( 35q + 31q + 21q + 20q + 6q \), you simply add the coefficients of \( q \). So let's do the math: \( 35 + 31 + 21 + 20 + 6 = 113 \). Thus, the expression simplifies to \( 113q \). In a nutshell, when you see variables with the same name, it’s like gathering friends for a big party—just add them together for a fantastic time! 🎉
