Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 262 · 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 = 10 and b = 6.
2. 2.Arjun has m crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) m − 2 (b) m + 2 (c) 2m (d) m ÷ 2
3. 3.Find the value of 4a + 7b when a = 2 and b = 4.
4. 4.Find the value of 6m − 7 when m = 4.
5. 5.Find the value of 8t + 11 when t = 4.
6. 6.Find the value of 2a + 9b when a = 4 and b = 8.
7. 7.Find the value of 7a + 4b when a = 3 and b = 8.
8. 8.Find the value of 6p + 7 when p = 3.
9. 9.Solve: p − 9 = 2. What is p?
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
14. 14.Find the value of 3a + 4b when a = 6 and b = 5.
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
16. 16.Find the value of 4a + 8b when a = 10 and b = 6.
17. 17.Solve: m + 5 = 8. What is m?
18. 18.Find the value of 3a + 9b when a = 9 and b = 7.
19. 19.Find the value of 6a + 7b when a = 9 and b = 5.
20. 20.Solve: m − 6 = 1. What is m?
21. 21.Find the value of 7a + 3b when a = 2 and b = 2.
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
23. 23.Find the value of 8x − 15 when x = 4.
24. 24.Find the value of 8m + 5 when m = 10.
25. 25.Solve: 2p = 12. What is p?
26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
29. 29.Find the value of 2p − 15 when p = 10.
30. 30.Tara has k pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
33. 33.Find the value of 2a + 8b when a = 1 and b = 3.
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
35. 35.Tara has k mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) k + 7 (b) k ÷ 7 (c) 7k (d) k − 7
36. 36.Solve: y + 8 = 15. What is y?
37. 37.Find the value of 3a + 6b when a = 9 and b = 7.
38. 38.Find the value of 2a + 3b when a = 6 and b = 2.
39. 39.Find the value of 3t − 16 when t = 6.
40. 40.Find the value of 8a + 8b when a = 8 and b = 1.

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