Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 168 · 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 6a + 5b when a = 3 and b = 8.
2. 2.Solve: m − 12 = 20. What is m?
3. 3.Solve: y ÷ 12 = 10. What is y?
4. 4.Solve: x ÷ 7 = 19. What is x?
5. 5.Find the value of 6p − 16 when p = 5.
6. 6.Find the value of 5y − 4 when y = 1.
7. 7.Isha has m bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) m − 8 (b) m ÷ 8 (c) 8m (d) m + 8
8. 8.Meera shares p shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) 4p (b) p + 4 (c) p ÷ 4 (d) p − 4
9. 9.Find the value of 2a + 9b when a = 8 and b = 3.
10. 10.Solve: 11p = 55. What is p?
11. 11.Solve: 4m = 4. What is m?
12. 12.Find the value of 8y − 5 when y = 1.
13. 13.Find the value of 3a + 5b when a = 3 and b = 8.
14. 14.Solve: n − 8 = 15. What is n?
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
16. 16.Find the value of 4a + 3b when a = 9 and b = 6.
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
20. 20.Ishaan has n books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
21. 21.Find the value of 7n + 2 when n = 12.
22. 22.Solve: x − 10 = 14. What is x?
23. 23.Solve: 12m = 84. What is m?
24. 24.Find the value of 3a + 3b when a = 9 and b = 3.
25. 25.Solve: y ÷ 4 = 4. What is y?
26. 26.Find the value of 7t − 30 when t = 6.
27. 27.Find the value of 2x − 5 when x = 3.
28. 28.Find the value of 9x + 10 when x = 12.
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
30. 30.Find the value of 9p + 18 when p = 4.
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
32. 32.Find the value of 6a + 3b when a = 9 and b = 1.
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
35. 35.Find the value of 5n + 5 when n = 8.
36. 36.Kavya has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) 3p (b) p + 3 (c) p − 3 (d) p ÷ 3
37. 37.Find the value of 6x + 7 when x = 5.
38. 38.Solve: 3n = 15. What is n?
39. 39.Ishaan shares k bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) 6k (b) k − 6 (c) k + 6 (d) k ÷ 6
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?

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