Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 421 · 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: y − 7 = 1. What is y?
2. 2.Find the value of 8m − 20 when m = 10.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
4. 4.Find the value of 5a + 3b when a = 6 and b = 6.
5. 5.Ananya has m balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
6. 6.Find the value of 7a + 3b when a = 2 and b = 9.
7. 7.Solve: y − 5 = 9. What is y?
8. 8.Find the value of 2a + 3b when a = 10 and b = 1.
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
11. 11.Find the value of 3a + 2b when a = 3 and b = 1.
12. 12.Find the value of 4a + 3b when a = 4 and b = 1.
13. 13.Diya has p mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
14. 14.Find the value of 4a + 6b when a = 1 and b = 9.
15. 15.Solve: y + 12 = 26. What is y?
16. 16.Find the value of 3n − 9 when n = 9.
17. 17.Find the value of 9x + 3 when x = 6.
18. 18.Find the value of 3a + 5b when a = 6 and b = 4.
19. 19.Find the value of 6a + 3b when a = 6 and b = 7.
20. 20.Solve: n ÷ 12 = 5. What is n?
21. 21.Kavya has k balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k
22. 22.Aditya shares p kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
23. 23.Solve: p ÷ 10 = 1. What is p?
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
25. 25.Solve: 9p = 45. What is p?
26. 26.Aditya has n marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
28. 28.Gurpreet has n kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
29. 29.Find the value of 6m − 2 when m = 3.
30. 30.Manav has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n + 7 (b) 7n (c) n − 7 (d) n ÷ 7
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
33. 33.Find the value of 6y + 1 when y = 7.
34. 34.Find the value of 5a + 8b when a = 5 and b = 9.
35. 35.Find the value of 6a + 2b when a = 1 and b = 8.
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
37. 37.Find the value of 8n − 43 when n = 6.
38. 38.Solve: y + 7 = 17. What is y?
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?

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