Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 65 · 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 4y + 20 when y = 1.
2. 2.Solve: 8t = 152. What is t?
3. 3.Find the value of 5a + 5b when a = 2 and b = 3.
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
5. 5.Find the value of 5m + 3 when m = 1.
6. 6.Solve: n + 3 = 16. What is n?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
9. 9.Solve: m + 3 = 21. What is m?
10. 10.Find the value of 3t − 6 when t = 3.
11. 11.Solve: 7p = 42. What is p?
12. 12.Find the value of 4a + 2b when a = 4 and b = 4.
13. 13.Find the value of 6a + 5b when a = 7 and b = 2.
14. 14.Find the value of 7m − 42 when m = 7.
15. 15.Find the value of 7a + 5b when a = 6 and b = 5.
16. 16.Find the value of 8a + 8b when a = 2 and b = 5.
17. 17.Find the value of 4x + 14 when x = 9.
18. 18.Find the value of 8a + 5b when a = 6 and b = 9.
19. 19.Find the value of 4m − 22 when m = 7.
20. 20.Nisha has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
21. 21.Find the value of 3n + 16 when n = 5.
22. 22.Find the value of 2a + 6b when a = 2 and b = 1.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
24. 24.Solve: n ÷ 7 = 6. What is n?
25. 25.Solve: m ÷ 8 = 13. What is m?
26. 26.Find the value of 4n − 19 when n = 12.
27. 27.Karan has p marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) p ÷ 7 (b) 7p (c) p + 7 (d) p − 7
28. 28.Solve: n ÷ 6 = 4. What is n?
29. 29.Find the value of 8x − 23 when x = 5.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
32. 32.Riya shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
33. 33.Find the value of 9t − 45 when t = 8.
34. 34.Arjun shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) n ÷ 6 (b) n − 6 (c) n + 6 (d) 6n
35. 35.Find the value of 4a + 8b when a = 7 and b = 1.
36. 36.Find the value of 7n + 18 when n = 11.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
39. 39.Ananya has m mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
40. 40.Zoya has m balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9

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