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A Level Algebra
Vectors
Learn vectors as part of develop pure algebra, proof, functions, graphs, sequences, trigonometry, exponentials and vectors.
Key idea
Keep both sides balanced, use notation accurately, and check by substituting your answer back in.
What you will learn
Use vectors meaning confidently.
Use vectors representations confidently.
Use vectors methods confidently.
Use vectors applications confidently.
Success checklist
✓I can explain what vectors means.
✓I can choose a suitable method without being told.
✓I can show clear working and check my answer.
Worked example
Solve 3𝑥 + 5 = 20.
Step 1
Subtract 5 from both sides: 3𝑥 = 15.
Step 2
Divide both sides by 3.
Step 3
𝑥 = 5.
Answer
𝑥 = 5
Quick practice
Question 1
Simplify 4𝑥 + 3𝑥 - 2𝑥.
Question 2
Solve 2𝑥 - 7 = 11.
Question 3
Expand 5(𝑥 + 3).
Related resources
These are linked to the wider Algebra topic for now.