Solve 2x + 3 = 11
- Subtract 3 from both sides: 2x = 8.
- Divide both sides by 2: x = 4.
- Check: 2 × 4 + 3 = 11.
Answer: x = 4
𝑥 Algebra
Equations
Use inverse operations to solve linear equations and find unknown values.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- An equation is balanced: both sides are equal.
- Do the same operation to both sides.
- Use inverse operations to get the letter on its own.
Real-life examples
- Finding an unknown price from a bill.
- Working out missing values in science formulae.
2. Visual
Balance model
2x + 3 = 11 means two equal boxes plus 3 weigh the same as 11. Remove 3 from both sides, then share by 2.
3. Help guide
How to tackle Equations
- Learn the rule: Solve equations by doing the same inverse operations to both sides.
- Worked model: Keep both sides balanced. Use inverse operations. Check the answer in the original equation.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Solve 3x + 2 = 14. What is x?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontWhat is the inverse of adding 7?
BackSubtracting 7.
FrontWhy do we do the same thing to both sides?
BackTo keep the equation balanced and equal.
FrontRule for Equations
BackSolve equations by doing the same inverse operations to both sides.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.