1. The problem is to identify terms, like terms, coefficients, and constants in an algebraic expression. 2. **Terms** are the parts of an expression separated by plus or minus signs. For example, in $3x^2 + 5x - 7$, the terms are $3x^2$, $5x$, and $-7$. 3. **Like terms** are terms that have the same variable raised to the same power. For example, $3x^2$ and $-2x^2$ are like terms because both have $x^2$. However, $5x$ and $3x^2$ are not like terms. 4. **Coefficients** are the numerical factors in terms that multiply the variables. In $3x^2$, the coefficient is $3$. In $-7$, which is a constant term, there is no variable, so no coefficient. 5. **Constants** are terms without variables. In $3x^2 + 5x - 7$, the constant is $-7$. 6. To summarize: - Terms: $3x^2$, $5x$, $-7$ - Like terms: $3x^2$ and any other $x^2$ terms - Coefficients: $3$ for $3x^2$, $5$ for $5x$ - Constants: $-7$