Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 40 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
2. 2.Kabir shares k books equally among 5 friends. Which expression shows how many books each friend gets? (a) 5k (b) k ÷ 5 (c) k − 5 (d) k + 5
3. 3.Find the value of 3x − 4 when x = 6.
4. 4.Find the value of 4a + 5b when a = 8 and b = 8.
5. 5.Find the value of 5a + 7b when a = 1 and b = 2.
6. 6.Find the value of 8a + 2b when a = 9 and b = 4.
7. 7.Find the value of 8t + 3 when t = 5.
8. 8.Solve: y − 9 = 1. What is y?
9. 9.Find the value of 3a + 7b when a = 9 and b = 6.
10. 10.Solve: p + 7 = 9. What is p?
11. 11.Solve: n + 8 = 12. What is n?
12. 12.Solve: y ÷ 4 = 3. What is y?
13. 13.Solve: n ÷ 4 = 17. What is n?
14. 14.Solve: x ÷ 8 = 6. What is x?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
16. 16.Solve: 9p = 135. What is p?
17. 17.Meera has p crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) p − 8 (c) p + 8 (d) 8p
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
19. 19.Ishaan has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
20. 20.Solve: x ÷ 3 = 7. What is x?
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
22. 22.Solve: m − 8 = 9. What is m?
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
24. 24.Find the value of 2a + 8b when a = 7 and b = 6.
25. 25.Find the value of 7m + 5 when m = 10.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
28. 28.Find the value of 7a + 9b when a = 2 and b = 10.
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
30. 30.Solve: 2t = 32. What is t?
31. 31.Find the value of 9a + 2b when a = 3 and b = 4.
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
34. 34.Find the value of 6a + 7b when a = 7 and b = 3.
35. 35.Find the value of 4a + 2b when a = 7 and b = 1.
36. 36.Vivaan shares m mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) m − 2 (b) 2m (c) m + 2 (d) m ÷ 2
37. 37.Find the value of 8m − 35 when m = 7.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
39. 39.Solve: y ÷ 5 = 7. What is y?
40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?

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