Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 217 · 40 sums

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. 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. 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. Check by putting your answer back into the equation.

1. 1.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
2. 2.Find the value of 5y + 19 when y = 8.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
4. 4.Find the value of 9n + 1 when n = 4.
5. 5.Find the value of 2t − 4 when t = 3.
6. 6.Solve: 9m = 18. What is m?
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
8. 8.Ananya has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m − 2 (b) m + 2 (c) 2m (d) m ÷ 2
9. 9.Ananya has k books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) 9k (b) k ÷ 9 (c) k − 9 (d) k + 9
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
11. 11.Priya has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
12. 12.Ishaan shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
13. 13.Find the value of 3t + 15 when t = 7.
14. 14.Solve: m + 11 = 16. What is m?
15. 15.Find the value of 5n + 20 when n = 8.
16. 16.Find the value of 8t − 83 when t = 12.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
19. 19.Gurpreet has p crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
20. 20.Solve: m − 6 = 4. What is m?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
23. 23.Rohan shares m balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m
24. 24.Find the value of 3x + 1 when x = 2.
25. 25.Solve: y − 9 = 3. What is y?
26. 26.Solve: p + 4 = 20. What is p?
27. 27.Riya has p crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
29. 29.Find the value of 7n + 17 when n = 6.
30. 30.Solve: 3t = 45. What is t?
31. 31.Solve: n − 4 = 11. What is n?
32. 32.Find the value of 3a + 5b when a = 6 and b = 1.
33. 33.Solve: x − 6 = 14. What is x?
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
35. 35.Find the value of 3y + 6 when y = 4.
36. 36.Find the value of 3x − 5 when x = 3.
37. 37.Isha has p mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) p + 2 (b) p − 2 (c) p ÷ 2 (d) 2p
38. 38.Solve: x − 3 = 13. What is x?
39. 39.Aditya has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?

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