Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 213 · 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.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
2. 2.Isha has p flowers. A friend has 7 fewer. Which expression shows how many flowers the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
3. 3.Find the value of 5m − 43 when m = 12.
4. 4.Solve: t − 2 = 5. What is t?
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
7. 7.Find the value of 7a + 3b when a = 3 and b = 10.
8. 8.Riya has m shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) m ÷ 6 (b) m − 6 (c) m + 6 (d) 6m
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
11. 11.Find the value of 6p + 14 when p = 8.
12. 12.Find the value of 9a + 9b when a = 1 and b = 1.
13. 13.Solve: x + 5 = 9. What is x?
14. 14.Solve: y ÷ 11 = 13. What is y?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
16. 16.Find the value of 5n − 2 when n = 2.
17. 17.Find the value of 5a + 4b when a = 4 and b = 3.
18. 18.Pooja has m mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
19. 19.Rohan has k books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
22. 22.Find the value of 5a + 4b when a = 2 and b = 5.
23. 23.Solve: 2y = 12. What is y?
24. 24.Find the value of 3a + 4b when a = 3 and b = 10.
25. 25.Find the value of 9a + 9b when a = 4 and b = 5.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
27. 27.Find the value of 7m + 19 when m = 4.
28. 28.Find the value of 3y + 15 when y = 6.
29. 29.Dev has k bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
30. 30.Solve: 7n = 63. What is n?
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
32. 32.Find the value of 3p − 2 when p = 1.
33. 33.Solve: x + 2 = 8. What is x?
34. 34.Find the value of 8x − 17 when x = 8.
35. 35.Manav shares p marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) 9p (b) p ÷ 9 (c) p + 9 (d) p − 9
36. 36.Find the value of 8y − 23 when y = 11.
37. 37.Find the value of 2a + 5b when a = 4 and b = 7.
38. 38.Find the value of 4m + 4 when m = 7.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
40. 40.Find the value of 3x + 9 when x = 3.

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