Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 583 · 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.Find the value of 3a + 8b when a = 9 and b = 2.
2. 2.Find the value of 7n − 5 when n = 1.
3. 3.Find the value of 5a + 6b when a = 2 and b = 8.
4. 4.Rohan has p crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) 2p (b) p ÷ 2 (c) p + 2 (d) p − 2
5. 5.Find the value of 2x − 2 when x = 3.
6. 6.Aarav has p kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
8. 8.Arjun shares n mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
10. 10.Ananya has k pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) 4k (b) k ÷ 4 (c) k + 4 (d) k − 4
11. 11.Find the value of 7m − 34 when m = 8.
12. 12.Find the value of 3y − 18 when y = 7.
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
14. 14.Solve: 8m = 16. What is m?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
16. 16.Solve: n ÷ 3 = 7. What is n?
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
18. 18.Solve: x − 10 = 5. What is x?
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
20. 20.Find the value of 4n + 15 when n = 6.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
22. 22.Find the value of 2m − 7 when m = 10.
23. 23.Solve: y − 3 = 14. What is y?
24. 24.Gurpreet shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
25. 25.Find the value of 4a + 5b when a = 7 and b = 10.
26. 26.Find the value of 7x + 15 when x = 9.
27. 27.Find the value of 7a + 4b when a = 5 and b = 7.
28. 28.Find the value of 3a + 8b when a = 7 and b = 1.
29. 29.Find the value of 4x + 12 when x = 8.
30. 30.Solve: m + 4 = 6. What is m?
31. 31.Gurpreet has m shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) m ÷ 2 (b) m − 2 (c) m + 2 (d) 2m
32. 32.Find the value of 5t − 21 when t = 10.
33. 33.Find the value of 6t + 13 when t = 9.
34. 34.Solve: m ÷ 10 = 10. What is m?
35. 35.Find the value of 8m + 20 when m = 5.
36. 36.Solve: n − 9 = 13. What is n?
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
38. 38.Find the value of 7y − 8 when y = 9.
39. 39.Find the value of 5a + 2b when a = 3 and b = 5.
40. 40.Find the value of 2a + 4b when a = 6 and b = 3.

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