Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 138 · 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.Riya has k shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) k ÷ 6 (b) k − 6 (c) k + 6 (d) 6k
2. 2.Find the value of 3y + 5 when y = 8.
3. 3.Isha shares m laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) m − 8 (b) 8m (c) m + 8 (d) m ÷ 8
4. 4.Find the value of 7m + 2 when m = 1.
5. 5.Solve: x ÷ 10 = 6. What is x?
6. 6.Solve: n − 9 = 17. What is n?
7. 7.Find the value of 3a + 8b when a = 2 and b = 3.
8. 8.Find the value of 4a + 5b when a = 4 and b = 3.
9. 9.Find the value of 2a + 2b when a = 3 and b = 9.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
13. 13.Joseph has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
14. 14.Find the value of 4a + 2b when a = 5 and b = 7.
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
16. 16.Pooja has p balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
17. 17.Solve: n + 12 = 32. What is n?
18. 18.Find the value of 8a + 9b when a = 2 and b = 8.
19. 19.Find the value of 5x − 7 when x = 5.
20. 20.Solve: y − 9 = 5. What is y?
21. 21.Find the value of 4n − 11 when n = 6.
22. 22.Find the value of 3a + 6b when a = 2 and b = 9.
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
24. 24.Find the value of 4m − 35 when m = 9.
25. 25.Find the value of 8a + 8b when a = 6 and b = 1.
26. 26.Solve: m − 11 = 3. What is m?
27. 27.Find the value of 5a + 4b when a = 6 and b = 7.
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
29. 29.Solve: n + 4 = 22. What is n?
30. 30.Find the value of 5a + 5b when a = 3 and b = 8.
31. 31.Aditya has m balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
32. 32.Find the value of 6a + 9b when a = 1 and b = 10.
33. 33.Find the value of 8a + 9b when a = 6 and b = 2.
34. 34.Solve: p ÷ 3 = 15. What is p?
35. 35.Find the value of 8t − 2 when t = 7.
36. 36.Find the value of 6t + 12 when t = 9.
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
38. 38.Find the value of 8p + 15 when p = 2.
39. 39.Joseph has p pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
40. 40.Find the value of 5a + 3b when a = 1 and b = 4.

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