Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 125 · 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: 7y = 84. What is y?
2. 2.Pooja has n crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) n − 6 (b) 6n (c) n ÷ 6 (d) n + 6
3. 3.Zoya has n laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
4. 4.Isha has k shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
5. 5.Solve: 2t = 30. What is t?
6. 6.Zoya has p bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) p − 8 (b) 8p (c) p + 8 (d) p ÷ 8
7. 7.Solve: m + 4 = 20. What is m?
8. 8.Find the value of 4n + 11 when n = 12.
9. 9.Rohan has k kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
10. 10.Find the value of 9y + 7 when y = 11.
11. 11.Find the value of 7y − 17 when y = 5.
12. 12.Farhan has n kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
14. 14.Find the value of 9x + 7 when x = 6.
15. 15.Solve: t − 3 = 16. What is t?
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
17. 17.Find the value of 6t − 8 when t = 5.
18. 18.Find the value of 6t − 4 when t = 2.
19. 19.Find the value of 9a + 6b when a = 2 and b = 2.
20. 20.Solve: p + 8 = 24. What is p?
21. 21.Aarav has k crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) k − 6 (b) 6k (c) k ÷ 6 (d) k + 6
22. 22.Solve: y + 9 = 18. What is y?
23. 23.Find the value of 4y + 15 when y = 12.
24. 24.Find the value of 7a + 3b when a = 1 and b = 9.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
26. 26.Ishaan has m mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
27. 27.Riya has n bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) n + 2 (b) 2n (c) n − 2 (d) n ÷ 2
28. 28.Find the value of 3a + 7b when a = 2 and b = 10.
29. 29.Solve: x + 8 = 25. What is x?
30. 30.Find the value of 3p − 8 when p = 4.
31. 31.Solve: p − 12 = 3. What is p?
32. 32.Find the value of 7a + 7b when a = 5 and b = 3.
33. 33.Find the value of 7a + 7b when a = 5 and b = 7.
34. 34.Find the value of 5a + 9b when a = 5 and b = 2.
35. 35.Find the value of 4y + 13 when y = 1.
36. 36.Find the value of 7a + 2b when a = 10 and b = 10.
37. 37.Find the value of 5a + 3b when a = 1 and b = 10.
38. 38.Sneha shares m marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
39. 39.Find the value of 8p − 6 when p = 1.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?

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