Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 281 · 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 6m + 13 when m = 9.
2. 2.Tara has p balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2p (b) p ÷ 2 (c) p + 2 (d) p − 2
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
4. 4.Solve: 6x = 78. What is x?
5. 5.Find the value of 7p − 36 when p = 10.
6. 6.Find the value of 7t − 33 when t = 8.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
8. 8.Find the value of 4m + 14 when m = 6.
9. 9.Find the value of 3a + 9b when a = 2 and b = 9.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
12. 12.Farhan has m marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
13. 13.Solve: m + 2 = 16. What is m?
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
15. 15.Saanvi has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
17. 17.Dev has p balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
20. 20.Riya shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
21. 21.Solve: y − 9 = 14. What is y?
22. 22.Solve: x + 4 = 16. What is x?
23. 23.Find the value of 6a + 6b when a = 8 and b = 3.
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
25. 25.Find the value of 2x − 4 when x = 8.
26. 26.Solve: x ÷ 3 = 2. What is x?
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
28. 28.Find the value of 8m + 18 when m = 1.
29. 29.Solve: m − 5 = 3. What is m?
30. 30.Find the value of 3y + 16 when y = 1.
31. 31.Find the value of 3a + 3b when a = 4 and b = 2.
32. 32.Karan shares k marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
33. 33.Solve: x + 2 = 4. What is x?
34. 34.Find the value of 5t − 6 when t = 3.
35. 35.Solve: y − 3 = 9. What is y?
36. 36.Find the value of 8a + 4b when a = 2 and b = 2.
37. 37.Solve: m + 8 = 18. What is m?
38. 38.Joseph shares m crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
39. 39.Joseph has n mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
40. 40.Find the value of 5a + 6b when a = 5 and b = 1.

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