Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 596 · 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.Solve: p + 4 = 10. What is p?
2. 2.Find the value of 6p + 1 when p = 5.
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
4. 4.Rohan has k kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) 7k (b) k + 7 (c) k − 7 (d) k ÷ 7
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
6. 6.Meera has n kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) n + 4 (b) 4n (c) n ÷ 4 (d) n − 4
7. 7.Solve: p + 7 = 14. What is p?
8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
9. 9.Solve: x − 11 = 5. What is x?
10. 10.Find the value of 5m − 3 when m = 8.
11. 11.Find the value of 7p + 10 when p = 1.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
14. 14.Solve: 2x = 10. What is x?
15. 15.Kabir has k shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) k ÷ 8 (b) 8k (c) k − 8 (d) k + 8
16. 16.Solve: p − 2 = 12. What is p?
17. 17.Solve: m + 10 = 19. What is m?
18. 18.Solve: 6y = 48. What is y?
19. 19.Find the value of 4m + 14 when m = 7.
20. 20.Ananya has p shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) p ÷ 4 (b) p − 4 (c) p + 4 (d) 4p
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
23. 23.Find the value of 4a + 3b when a = 5 and b = 2.
24. 24.Aarav has p shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8
25. 25.Solve: x − 3 = 15. What is x?
26. 26.Solve: t + 9 = 26. What is t?
27. 27.Find the value of 2y − 5 when y = 7.
28. 28.Solve: t ÷ 5 = 14. What is t?
29. 29.Find the value of 9n − 84 when n = 11.
30. 30.Solve: y + 5 = 20. What is y?
31. 31.Find the value of 7a + 8b when a = 4 and b = 6.
32. 32.Find the value of 9a + 4b when a = 2 and b = 4.
33. 33.Find the value of 3m − 7 when m = 11.
34. 34.Solve: y + 5 = 16. What is y?
35. 35.Gurpreet shares m flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
36. 36.Find the value of 4a + 7b when a = 9 and b = 1.
37. 37.Solve: n + 7 = 9. What is n?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
39. 39.Find the value of 6x − 15 when x = 6.
40. 40.Find the value of 4a + 2b when a = 6 and b = 8.

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