Real-world examples of one-step division equations (Grade 6)

📚 Quick Study Guide

🔢 One-Step Division Equations: These are equations where you need to perform only one division operation to find the value of the variable. ➗ General Form: $\frac{x}{a} = b$, where $x$ is the variable, $a$ is the divisor, and $b$ is the quotient. 💡 Solving: To solve, multiply both sides of the equation by $a$: $x = a \times b$. ➕ Example: If $\frac{x}{5} = 3$, then $x = 5 \times 3 = 15$.

📝 Practice Quiz

1. What is the value of $x$ in the equation $\frac{x}{4} = 7$?
   1. 8
   2. 11
   3. 28
   4. 3
2. Sarah divided her candies equally among 6 friends. Each friend received 3 candies. How many candies did Sarah have originally? Let $c$ be the total number of candies. Which equation represents this situation?
   1. $\frac{c}{6} = 3$
   2. $6c = 3$
   3. $\frac{3}{c} = 6$
   4. $c = 6 + 3$
3. Solve for $y$ in the equation $\frac{y}{9} = 2$:
   1. 4.5
   2. 11
   3. 18
   4. 7
4. A pizza is cut into equal slices. If each slice is $\frac{1}{8}$ of the pizza and you have 3 slices, what fraction of the pizza do you have? This can be represented as $\frac{x}{8} = 3$. What is $x$?
   1. 5
   2. 11
   3. 24
   4. 3
5. If $\frac{z}{3} = 12$, what is the value of $z$?
   1. 4
   2. 9
   3. 15
   4. 36
6. John shared his baseball cards with 5 friends. Each friend received 7 cards. How many cards did John start with? The equation is $\frac{b}{5} = 7$. What is $b$?
   1. 2
   2. 12
   3. 35
   4. 40
7. What is the value of $m$ in the equation $\frac{m}{11} = 5$?
   1. 6
   2. 55
   3. 16
   4. 0.45