Real-World Examples of One-Step Multiplication Equations (Grade 6)

📚 Quick Study Guide

• 🔢 A one-step multiplication equation looks like this: $ax = b$, where 'a' and 'b' are numbers, and 'x' is the variable you want to find.
• ➗ To solve for 'x', you need to isolate it. Do this by dividing both sides of the equation by 'a'. So, $x = \frac{b}{a}$.
• 💡 Remember, whatever you do to one side of the equation, you MUST do to the other side to keep it balanced!
• ✍️ Check your answer by substituting the value you found for 'x' back into the original equation to see if it holds true.
• ➕ Multiplication and division are inverse operations. That means they 'undo' each other. This is why we divide to solve a multiplication equation.

📝 Practice Quiz

1. What is the value of $x$ in the equation $3x = 12$?
   1. A) 36
   2. B) 4
   3. C) 9
   4. D) 15
2. Sarah bought 5 apples for a total of $10. If 'a' represents the cost of one apple, which equation represents this situation?
   1. A) $a = 50$
   2. B) $5a = 10$
   3. C) $10a = 5$
   4. D) $a + 5 = 10$
3. Solve for $y$ in the equation $7y = 49$.
   1. A) 7
   2. B) 42
   3. C) 56
   4. D) 343
4. A pizza is cut into 8 slices. If each person gets 2 slices, and 'p' represents the number of people who can eat pizza, which equation represents this?
   1. A) $2p = 8$
   2. B) $8p = 2$
   3. C) $p = 16$
   4. D) $p = 6$
5. What is the value of $z$ in the equation $9z = 81$?
   1. A) 90
   2. B) 729
   3. C) 9
   4. D) 8
6. John earns $15 per hour. If he earned $75 this week, which equation can you use to find 'h', the number of hours he worked?
   1. A) $h = 90$
   2. B) $15h = 75$
   3. C) $75h = 15$
   4. D) $h - 15 = 75$
7. Solve for $m$ in the equation $4m = 28$.
   1. A) 112
   2. B) 7
   3. C) 24
   4. D) 32