Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 415 · 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: 3m = 33. What is m?
2. 2.Isha has p mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
3. 3.Solve: p + 7 = 13. What is p?
4. 4.Find the value of 9t + 7 when t = 9.
5. 5.Find the value of 7a + 4b when a = 7 and b = 2.
6. 6.Nisha has p shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
7. 7.Find the value of 8a + 2b when a = 4 and b = 4.
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
9. 9.Find the value of 6x − 4 when x = 1.
10. 10.Find the value of 3p − 20 when p = 11.
11. 11.Manav has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4p (b) p − 4 (c) p + 4 (d) p ÷ 4
12. 12.Nisha shares k balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
13. 13.Find the value of 8a + 2b when a = 1 and b = 4.
14. 14.Nisha shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) n − 5 (b) 5n (c) n ÷ 5 (d) n + 5
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
16. 16.Find the value of 3t + 8 when t = 8.
17. 17.Solve: n ÷ 7 = 2. What is n?
18. 18.Solve: 7t = 91. What is t?
19. 19.Solve: n − 4 = 5. What is n?
20. 20.Solve: t + 5 = 11. What is t?
21. 21.Find the value of 8a + 4b when a = 3 and b = 1.
22. 22.Find the value of 8m + 5 when m = 10.
23. 23.Find the value of 4a + 7b when a = 2 and b = 2.
24. 24.Find the value of 2a + 5b when a = 3 and b = 1.
25. 25.Find the value of 4y − 15 when y = 11.
26. 26.Riya has n flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
27. 27.Vivaan shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
28. 28.Riya shares p crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) p + 9 (b) p − 9 (c) 9p (d) p ÷ 9
29. 29.Find the value of 3m − 1 when m = 3.
30. 30.Find the value of 3a + 6b when a = 10 and b = 1.
31. 31.Solve: p ÷ 10 = 10. What is p?
32. 32.Find the value of 8x + 14 when x = 5.
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
34. 34.Find the value of 7m + 16 when m = 10.
35. 35.Solve: p ÷ 8 = 17. What is p?
36. 36.Sneha shares k bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 9 (b) k + 9 (c) k − 9 (d) 9k
37. 37.Saanvi has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
38. 38.Find the value of 9t − 20 when t = 12.
39. 39.Solve: y + 3 = 20. What is y?
40. 40.Find the value of 9a + 3b when a = 4 and b = 5.

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