Name the following algebraic expresions based on the number of terms.

Options

A. `2018x^(2019)`
B. x+2019
C. 2017x
D. `sqrt(3)x+sqrt(5)+y`

Explanation

To name the algebraic expressions based on the number of terms, we follow these steps:

1. **Identify the Number of Terms**: Look at each algebraic expression and count how many distinct terms it has. A term is a part of the expression that is separated by a plus (+) or minus (−) sign.

2. **Classify Based on the Count**:
- If there is **one term**, it is called a **monomial**.
- If there are **two terms**, it is called a **binomial**.
- If there are **three terms**, it is called a **trinomial**.
- If there are more than three terms, we can refer to it as a **polynomial**.

3. **Apply the Classification**: Now, we will apply this classification to the given expressions.

### Step-by-Step Solution:

1. **Expression 1**: Let's say the expression is \( 5x \).
- Count the terms: There is **1 term**.
- Classification: This is a **monomial**.

2. **Expression 2**: Consider the expression \( 3x + 4y \).
- Count the terms: There are **2 terms**.
- Classification: This is a **binomial**.

3. **Expression 3**: Now take \( 2a + 3b - 5 \).
- Count the terms: There are **3 terms**.
- Classification: This is a **trinomial**.

4. **Expression 4**: Lastly, if we have \( x + y + z + 1 \).
- Count the terms: There are **4 terms**.
- Classification: This is a **polynomial** (specifically a polynomial of degree 3).

### Summary of Classifications:
- \( 5x \) → **Monomial**
- \( 3x + 4y \) → **Binomial**
- \( 2a + 3b - 5 \) → **Trinomial**
- \( x + y + z + 1 \) → **Polynomial**