Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 89 · 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 8a + 4b when a = 9 and b = 2.
2. 2.Find the value of 9n − 6 when n = 10.
3. 3.Find the value of 7a + 2b when a = 10 and b = 3.
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
5. 5.Find the value of 3p − 26 when p = 11.
6. 6.Find the value of 4p − 11 when p = 3.
7. 7.Find the value of 3a + 4b when a = 4 and b = 6.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
9. 9.Solve: y − 6 = 1. What is y?
10. 10.Find the value of 9a + 3b when a = 1 and b = 2.
11. 11.Find the value of 5a + 2b when a = 3 and b = 9.
12. 12.Solve: 10n = 160. What is n?
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
14. 14.Find the value of 3y + 14 when y = 8.
15. 15.Solve: t + 9 = 26. What is t?
16. 16.Karan has m mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) 4m (b) m ÷ 4 (c) m + 4 (d) m − 4
17. 17.Farhan has n balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
18. 18.Find the value of 3a + 6b when a = 2 and b = 3.
19. 19.Solve: m + 6 = 13. What is m?
20. 20.Find the value of 4x − 11 when x = 4.
21. 21.Find the value of 8t + 10 when t = 2.
22. 22.Diya shares k marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
23. 23.Solve: t − 6 = 8. What is t?
24. 24.Solve: x ÷ 9 = 5. What is x?
25. 25.Find the value of 7a + 8b when a = 2 and b = 2.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
27. 27.Find the value of 9n + 8 when n = 1.
28. 28.Find the value of 8a + 5b when a = 7 and b = 9.
29. 29.Find the value of 5a + 6b when a = 8 and b = 5.
30. 30.Find the value of 3a + 6b when a = 10 and b = 7.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
32. 32.Karan shares m crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
33. 33.Solve: 9p = 72. What is p?
34. 34.Solve: x ÷ 11 = 14. What is x?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
36. 36.Find the value of 8a + 5b when a = 6 and b = 5.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
38. 38.Aarav has m flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
39. 39.Isha has p flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) p − 5 (b) p + 5 (c) p ÷ 5 (d) 5p
40. 40.Find the value of 4a + 5b when a = 3 and b = 6.

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