Online Quiz: Mastering Monomial Coefficients and Variables

📚 Quick Study Guide

• 🔢 A monomial is an algebraic expression containing only one term.
• 🧮 A monomial term includes a coefficient, which is a number, and one or more variables raised to non-negative integer exponents.
• 💡 The coefficient is the numerical factor of the term. For example, in $5x^2$, the coefficient is 5.
• 📝 The variables are the letters representing unknown values. In $5x^2$, the variable is $x$.
• ➕ When identifying coefficients and variables, pay close attention to the sign. For example, in $-3xy$, the coefficient is -3.
• ➗ A monomial cannot have division by a variable. Expressions like $\frac{5}{x}$ are not monomials.
• 🌱 The degree of a monomial is the sum of the exponents of its variables. For example, the degree of $7x^2y^3$ is $2+3=5$.

✍️ Practice Quiz

1. What is the coefficient in the monomial $-7ab^2$?
   1. 7
   2. -7
   3. 1
   4. 2
2. What are the variables in the monomial $12x^3yz$?
   1. $x, y$
   2. $x, z$
   3. $x, y, z$
   4. $x^3, y, z$
3. What is the coefficient in the monomial $x^2y$?
   1. 0
   2. 1
   3. 2
   4. $x$
4. What is the coefficient and variable(s) in the monomial $\frac{2}{3}pqr^2$?
   1. Coefficient: 2, Variables: $p, q, r$
   2. Coefficient: $\frac{2}{3}$, Variables: $p, q, r$
   3. Coefficient: $\frac{2}{3}$, Variables: $p, q, r^2$
   4. Coefficient: 2, Variables: $p, q, r^2$
5. Identify the coefficient in the monomial $-0.5m^4n$.
   1. 0.5
   2. -0.5
   3. 4
   4. 1
6. What are the variable(s) in the monomial $25a^2bc^3$?
   1. $a, b, c$
   2. $a^2, b, c^3$
   3. $a, b$
   4. $b, c$
7. What is the coefficient in the monomial $\frac{x}{4}$?
   1. 1
   2. 4
   3. $\frac{1}{4}$
   4. 0