Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 78 · 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 5m − 9 when m = 3.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
4. 4.Find the value of 7t + 13 when t = 10.
5. 5.Find the value of 6a + 7b when a = 8 and b = 3.
6. 6.Find the value of 8a + 3b when a = 2 and b = 1.
7. 7.Find the value of 9x − 92 when x = 11.
8. 8.Find the value of 2a + 4b when a = 5 and b = 2.
9. 9.Find the value of 6a + 7b when a = 6 and b = 9.
10. 10.Ananya has p crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
11. 11.Find the value of 5y − 34 when y = 7.
12. 12.Ishaan has k mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
13. 13.Solve: 8y = 24. What is y?
14. 14.Solve: t + 7 = 12. What is t?
15. 15.Solve: n + 9 = 22. What is n?
16. 16.Find the value of 3a + 6b when a = 9 and b = 9.
17. 17.Farhan has p bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
18. 18.Find the value of 2a + 5b when a = 1 and b = 10.
19. 19.Find the value of 4a + 7b when a = 1 and b = 3.
20. 20.Find the value of 7y + 6 when y = 1.
21. 21.Saanvi shares m flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
22. 22.Find the value of 7p − 7 when p = 4.
23. 23.Find the value of 4a + 8b when a = 6 and b = 8.
24. 24.Find the value of 8y − 42 when y = 12.
25. 25.Find the value of 8t − 14 when t = 10.
26. 26.Arjun shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
27. 27.Find the value of 4a + 4b when a = 3 and b = 4.
28. 28.Solve: t ÷ 11 = 13. What is t?
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
30. 30.Solve: t − 8 = 3. What is t?
31. 31.Find the value of 3a + 2b when a = 8 and b = 10.
32. 32.Find the value of 6p + 4 when p = 7.
33. 33.Kavya has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
34. 34.Find the value of 9a + 7b when a = 3 and b = 2.
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
36. 36.Find the value of 4a + 6b when a = 3 and b = 10.
37. 37.Find the value of 9a + 5b when a = 5 and b = 6.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
39. 39.Find the value of 2a + 9b when a = 1 and b = 10.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?

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