Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 383 · 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 9y + 12 when y = 1.
2. 2.Find the value of 3a + 5b when a = 3 and b = 8.
3. 3.Find the value of 4a + 7b when a = 6 and b = 2.
4. 4.Solve: 4m = 60. What is m?
5. 5.Find the value of 5a + 4b when a = 1 and b = 8.
6. 6.Solve: p + 12 = 24. What is p?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
9. 9.Find the value of 6a + 2b when a = 6 and b = 1.
10. 10.Vivaan has k bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
11. 11.Find the value of 5x + 6 when x = 4.
12. 12.Solve: n + 5 = 19. What is n?
13. 13.Find the value of 7a + 8b when a = 2 and b = 3.
14. 14.Saanvi 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
15. 15.Find the value of 3n − 13 when n = 6.
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
17. 17.Find the value of 2p − 4 when p = 3.
18. 18.Find the value of 9p − 18 when p = 3.
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
21. 21.Solve: y + 6 = 17. What is y?
22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
23. 23.Find the value of 6a + 2b when a = 9 and b = 3.
24. 24.Find the value of 6a + 5b when a = 2 and b = 7.
25. 25.Solve: 11y = 110. What is y?
26. 26.Solve: t + 6 = 13. What is t?
27. 27.Find the value of 6y − 66 when y = 12.
28. 28.Find the value of 2a + 4b when a = 2 and b = 8.
29. 29.Kabir has n flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
30. 30.Find the value of 3m + 11 when m = 1.
31. 31.Solve: t ÷ 7 = 9. What is t?
32. 32.Rohan has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
35. 35.Ananya has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) k + 4 (b) k − 4 (c) 4k (d) k ÷ 4
36. 36.Find the value of 3n − 20 when n = 8.
37. 37.Ananya shares m books equally among 7 friends. Which expression shows how many books each friend gets? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
38. 38.Solve: t − 8 = 13. What is t?
39. 39.Find the value of 3n − 3 when n = 8.
40. 40.Solve: n ÷ 7 = 14. What is n?

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