Question
Which expression has exactly two terms? \( 5 y^{2} \) \( a+b+2 \) \( 4 n \) \( 3 x+5 \)
Ask by Vargas Chang. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(3 x + 5\) has exactly two terms.
Solution
To determine which expression has exactly two terms, let's examine each option:
1. **\(5 y^{2}\)**
- This is a single term consisting of the coefficient \(5\) multiplied by \(y^{2}\).
2. **\(a + b + 2\)**
- This expression has **three terms**: \(a\), \(b\), and \(2\).
3. **\(4 n\)**
- This is a single term consisting of the coefficient \(4\) multiplied by \(n\).
4. **\(3 x + 5\)**
- This expression has **two terms**: \(3x\) and \(5\).
**Conclusion:**
The expression **\(3 x + 5\)** has exactly two terms.
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Simplify this solution The Deep Dive
The expression that has exactly two terms is \( 3 x + 5 \). It's composed of \( 3 x \), which is the first term, and \( 5 \), which is the second term. The rest of the options either have one term or more than two terms, making them not fit the criteria you're looking for! Expressions with two terms are often referred to as binomials in algebra. They can be combined, factored or simplified, and play a crucial role in polynomial equations. Remember, two terms can include variables and constants, so get creative when you form your own!
