Expression Structure - Pre Algebra

1. What is a term in an algebraic expression?

   A part of the expression separated from the others by addition or subtraction, such as $4x^2$ in $4x^2 - 7x + 2$.

2. What three factors are multiplied in the term $7ab$?

   7, $a$, and $b$.

3. What is the coefficient of $x$ in $\frac{x}{4}$?

   $\frac{1}{4}$, because $\frac{x}{4} = \frac{1}{4}x$.

4. What is the coefficient of $y$ in $2x - y + 6$?

   $-1$. The term $-y$ means $-1 \cdot y$.

5. Identify the variable, the coefficient and the constant in $9 + 2n$.

   Variable $n$, coefficient 2, constant 9.

6. What is the coefficient of $x$ in $5 - 3x + x^2$?

   $-3$. The subtraction sign belongs to the term, so the term is $-3x$.

7. What is a constant term?

   A term with no variable, whose value does not change, such as 9 in $2n + 9$.

8. How many terms does the expression $3(x + 4)$ have as written?

   One. It is a single product of the factors 3 and $(x + 4)$; expanding gives two terms.

9. What is a coefficient?

   The numerical factor multiplying a variable, such as 6 in $6y$.

10. What are the factors of a product?

    The quantities multiplied together to form it. In $3(x + 4)$, the factors are 3 and $(x + 4)$.

11. How many terms are in $4x^2 - 7x + 2$?

    3: $4x^2$, $-7x$, and $2$.

12. What is the constant term in $8m - 3 + 2m^2$?

    $-3$. It is the only term with no variable.

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