1. The problem asks to analyze the algebraic expression $3x + 4$ and answer four questions about it.
2. First, count the number of terms in $3x + 4$. A term is a part of the expression separated by plus or minus signs. Here, there are two terms: $3x$ and $4$.
3. Next, find the coefficient of the algebraic term. The algebraic term is $3x$, and its coefficient is the number multiplying the variable $x$, which is $3$.
4. Then, identify the constant term. The constant term is the term without a variable, which is $4$.
5. Finally, determine the operation symbol. The operation symbol between the two terms is $+$.
6. The second problem asks to evaluate the expression $2a - 3$ when $a = 5$.
7. Substitute $a = 5$ into the expression: $2(5) - 3$.
8. Calculate: $2 \times 5 = 10$, so the expression becomes $10 - 3$.
9. Subtract: $10 - 3 = 7$.
10. The value of the expression when $a = 5$ is $7$.
11. The third problem is to fill in the table for the expressions $x + 9$, $7x$, and $5x - 2$ for $x = 0$ and $x = 2$.
12. For $x = 0$:
- $x + 9 = 0 + 9 = 9$
- $7x = 7 \times 0 = 0$
- $5x - 2 = 5 \times 0 - 2 = -2$
13. For $x = 2$:
- $x + 9 = 2 + 9 = 11$
- $7x = 7 \times 2 = 14$
- $5x - 2 = 5 \times 2 - 2 = 10 - 2 = 8$
Final answers:
① Number of terms: 2
② Coefficient of algebraic term: 3
③ Constant term: 4
④ Operation symbol: $+$
⑤ Table values:
| x | x + 9 | 7x | 5x - 2 |
|---|-------|----|--------|
| 0 | 9 | 0 | -2 |
| 2 | 11 | 14 | 8 |
Algebra Terms
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.