Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 96 · 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 8a + 3b when a = 8 and b = 8.
2. 2.Find the value of 7m + 13 when m = 5.
3. 3.Find the value of 4a + 3b when a = 2 and b = 4.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
5. 5.Saanvi has p marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) p ÷ 2 (b) p + 2 (c) p − 2 (d) 2p
6. 6.Find the value of 6y − 39 when y = 12.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
8. 8.Solve: y ÷ 9 = 2. What is y?
9. 9.Find the value of 4t − 1 when t = 1.
10. 10.Find the value of 6a + 7b when a = 7 and b = 3.
11. 11.Solve: 5y = 55. What is y?
12. 12.Find the value of 6n − 32 when n = 9.
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
14. 14.Diya has n kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
15. 15.Find the value of 2x − 1 when x = 10.
16. 16.Solve: m − 2 = 4. What is m?
17. 17.Solve: y + 7 = 27. What is y?
18. 18.Find the value of 4n − 12 when n = 7.
19. 19.Find the value of 9a + 4b when a = 1 and b = 6.
20. 20.Solve: x ÷ 9 = 15. What is x?
21. 21.Solve: m ÷ 2 = 2. What is m?
22. 22.Find the value of 2x + 10 when x = 4.
23. 23.Find the value of 7a + 2b when a = 5 and b = 5.
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
25. 25.Solve: p ÷ 3 = 15. What is p?
26. 26.Solve: n ÷ 9 = 20. What is n?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
28. 28.Riya has n pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
29. 29.Solve: 4m = 52. What is m?
30. 30.Find the value of 6a + 7b when a = 5 and b = 3.
31. 31.Kavya shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
32. 32.Tara has n flowers. A friend has 9 fewer. Which expression shows how many flowers the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
33. 33.Find the value of 2a + 3b when a = 10 and b = 4.
34. 34.Find the value of 6a + 8b when a = 1 and b = 3.
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
37. 37.Solve: t + 4 = 17. What is t?
38. 38.Nisha has k balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
39. 39.Kabir has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
40. 40.Solve: 10y = 90. What is y?

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