Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 92 · 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 9m − 31 when m = 6.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
3. 3.Solve: p ÷ 4 = 9. What is p?
4. 4.Find the value of 4p − 10 when p = 5.
5. 5.Find the value of 5t − 13 when t = 9.
6. 6.Pooja shares m marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
8. 8.Find the value of 5p − 1 when p = 7.
9. 9.Find the value of 3n − 2 when n = 2.
10. 10.Arjun has n flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 5 (b) n + 5 (c) 5n (d) n − 5
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
12. 12.Tara shares p flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
13. 13.Find the value of 8n − 31 when n = 7.
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
15. 15.Rahul has p laddoos. A friend has 7 times as many. Which expression shows how many laddoos the friend has? (a) p − 7 (b) p ÷ 7 (c) p + 7 (d) 7p
16. 16.Find the value of 2a + 6b when a = 10 and b = 2.
17. 17.Find the value of 8p − 71 when p = 12.
18. 18.Meera has p marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) 6p (b) p − 6 (c) p ÷ 6 (d) p + 6
19. 19.Solve: y − 9 = 7. What is y?
20. 20.Solve: y + 5 = 8. What is y?
21. 21.Solve: m + 12 = 26. What is m?
22. 22.Solve: 10p = 140. What is p?
23. 23.Find the value of 2a + 2b when a = 6 and b = 5.
24. 24.Tara has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
25. 25.Find the value of 2a + 3b when a = 4 and b = 9.
26. 26.Find the value of 6a + 3b when a = 5 and b = 7.
27. 27.Find the value of 2n + 19 when n = 7.
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
29. 29.Solve: m − 6 = 8. What is m?
30. 30.Solve: p + 10 = 24. What is p?
31. 31.Find the value of 7a + 7b when a = 7 and b = 7.
32. 32.Find the value of 2n − 1 when n = 1.
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
34. 34.Find the value of 5y + 5 when y = 12.
35. 35.Find the value of 7x − 23 when x = 7.
36. 36.Find the value of 2a + 4b when a = 8 and b = 8.
37. 37.Find the value of 9a + 6b when a = 6 and b = 9.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
39. 39.Find the value of 4y + 16 when y = 12.
40. 40.Solve: y + 2 = 11. What is y?

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