Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 426 · 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 5a + 2b when a = 7 and b = 3.
2. 2.Solve: 5n = 85. What is n?
3. 3.Find the value of 2a + 9b when a = 4 and b = 8.
4. 4.Aarav shares m pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
5. 5.Find the value of 6a + 3b when a = 1 and b = 6.
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
7. 7.Find the value of 2n + 5 when n = 10.
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
9. 9.Solve: m + 11 = 15. What is m?
10. 10.Solve: t − 2 = 3. What is t?
11. 11.Saanvi has m balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
17. 17.Find the value of 2a + 2b when a = 1 and b = 7.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
19. 19.Find the value of 6a + 2b when a = 5 and b = 5.
20. 20.Find the value of 7a + 8b when a = 6 and b = 2.
21. 21.Find the value of 8t − 51 when t = 7.
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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
25. 25.Meera has m marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7
26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
27. 27.Find the value of 8a + 8b when a = 1 and b = 6.
28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
29. 29.Find the value of 6m − 26 when m = 8.
30. 30.Find the value of 6a + 7b when a = 10 and b = 8.
31. 31.Solve: 11x = 165. What is x?
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
33. 33.Solve: p ÷ 6 = 17. What is p?
34. 34.Find the value of 3p + 18 when p = 2.
35. 35.Solve: 3p = 54. What is p?
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
37. 37.Solve: n − 4 = 4. What is n?
38. 38.Solve: 4m = 8. What is m?
39. 39.Aarav has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?

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