Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 109 · 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: m + 7 = 10. What is m?
2. 2.Aditya has p kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
4. 4.Arjun has m crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
5. 5.Dev shares m laddoos equally among 6 friends. Which expression shows how many laddoos each friend gets? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
6. 6.Solve: y − 11 = 15. What is y?
7. 7.Find the value of 3a + 4b when a = 5 and b = 7.
8. 8.Solve: y + 3 = 9. What is y?
9. 9.Find the value of 8t + 19 when t = 6.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
11. 11.Find the value of 2y + 19 when y = 5.
12. 12.Solve: y + 10 = 24. What is y?
13. 13.Solve: 11t = 176. What is t?
14. 14.Solve: 6t = 24. What is t?
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: 3n = 51. What is n?
17. 17.Find the value of 3a + 9b when a = 9 and b = 6.
18. 18.Nisha has m crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) m − 8 (b) 8m (c) m + 8 (d) m ÷ 8
19. 19.Find the value of 6n − 13 when n = 3.
20. 20.Find the value of 8a + 5b when a = 2 and b = 10.
21. 21.Solve: x + 4 = 5. What is x?
22. 22.Solve: t + 5 = 24. What is t?
23. 23.Find the value of 3a + 7b when a = 5 and b = 8.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
25. 25.Isha has p kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
26. 26.Find the value of 2a + 2b when a = 4 and b = 10.
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
28. 28.Find the value of 2n − 4 when n = 4.
29. 29.Find the value of 7a + 3b when a = 3 and b = 8.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
31. 31.Find the value of 7x − 32 when x = 8.
32. 32.Solve: n ÷ 12 = 1. What is n?
33. 33.Find the value of 8m + 3 when m = 7.
34. 34.Solve: m − 3 = 5. What is m?
35. 35.Find the value of 6a + 2b when a = 9 and b = 3.
36. 36.Lakshmi has p balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
38. 38.Find the value of 3n − 1 when n = 10.
39. 39.Kavya has p shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
40. 40.Find the value of 3t + 1 when t = 11.

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