Algebra: expressions and simple equations — Maths worksheet

The method

Keep the balance — “whatever you do to one side of an equation, do to the other side”

1. 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5.
2. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17.
3. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a.
4. Check by putting your answer back into the equation.

Use it for: Matchstick patterns, rules like "perimeter = 4s", puzzles with a missing number, and the algebra chapter of Class 6 maths.

Worked example: Solve: x + 7 = 15. What is x? → 8

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Lesson 44 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🔤 Letter Logician badge when you pass — and a certificate when you finish all 8 lessons of Part 6 · Class 6. You can still take the test without signing in.

🖨️ Class 6 Maths Worksheet: Algebra

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)