Real-world examples of one-step equations (addition and subtraction)

📚 Quick Study Guide

🔢 One-Step Equations: These are algebraic equations that can be solved in just one step. They involve performing a single operation (addition, subtraction, multiplication, or division) to isolate the variable. ➕ Addition Equations: These have the form $x + a = b$, where $x$ is the variable, and $a$ and $b$ are constants. To solve, subtract $a$ from both sides: $x = b - a$. ➖ Subtraction Equations: These have the form $x - a = b$. To solve, add $a$ to both sides: $x = b + a$. ⚖️ The Golden Rule: Whatever you do to one side of the equation, you must do to the other to maintain balance. 💡 Goal: Isolate the variable (get it by itself) to find its value.

📝 Practice Quiz

1. A baker needs 24 eggs for a cake. She already has 11 eggs. How many more eggs does she need? $x + 11 = 24$
   1. A) 11
   2. B) 13
   3. C) 24
   4. D) 35
2. John had some candies. After eating 7 candies, he has 15 left. How many candies did he have initially? $x - 7 = 15$
   1. A) 8
   2. B) 15
   3. C) 22
   4. D) 28
3. A student wants to read a book with 65 pages. He has already read 25 pages. How many more pages does he need to read? $x + 25 = 65$
   1. A) 30
   2. B) 40
   3. C) 90
   4. D) 25
4. A thermometer reads 72°F. The temperature is 9°F higher than yesterday. What was the temperature yesterday? $x + 9 = 72$
   1. A) 63
   2. B) 72
   3. C) 81
   4. D) 9
5. Sarah has some money. After spending $12, she has $38 left. How much money did she have initially? $x - 12 = 38$
   1. A) $26
   2. B) $38
   3. C) $50
   4. D) $12
6. A farmer planted 45 seeds in total. He planted 18 seeds of corn and the rest were beans. How many bean seeds did he plant? $x + 18 = 45$
   1. A) 18
   2. B) 27
   3. C) 45
   4. D) 63
7. A shopkeeper sold some items. After selling 23 items, he has 57 items left. How many items did he have at the start? $x - 23 = 57$
   1. A) 34
   2. B) 57
   3. C) 80
   4. D) 23