Practice Isolating the Variable
Instant feedback
Unlimited problems
Full explanations
To isolate x: divide both sides by the coefficient.
Example: 3x = 12 → x = 4
Worked Examples
Example 1
🤔 What is an equation?
Danny bought some sweets plus 3 chocolates. He has 7 items in total.
How many sweets did he buy?
This is the equation: x + 3 = 7
Explanation:
💡 Detailed Explanation:
An equation = a mathematical puzzle! 🎯
| x + 3 = 7 Think of it as a balance scale. Left side: x+3 | Right side: 7 x = 4 because 4 + 3 = 7 ✓ |
An equation = two equal sides, like a balance scale!
Example 2
🔤 What is an unknown (variable)?
In the equation x + 5 = 12, what does x represent?
Explanation:
💡 Detailed Explanation:
x = a secret box! 📦
| x is "the unknown" Like a closed box with a number inside. Our goal: find what number is in the box! x + 5 = 12 → x = 7 because 7 + 5 = 12 |
Example 3
🎯 What does it mean to "solve an equation"?
Explanation:
💡 Detailed Explanation:
Solving = revealing the secret! 🔓
| Find which number replaces x to make it true. x + 3 = 10: x=7 → 7+3=10 ✓ | x=5 → 5+3=8 ✗ Solution: x = 7 |
Practice
Click Generate Problem to begin.