Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 316 · 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 2a + 2b when a = 1 and b = 1.
2. 2.Solve: y + 3 = 22. What is y?
3. 3.Find the value of 9m + 1 when m = 10.
4. 4.Find the value of 7p + 9 when p = 6.
5. 5.Riya has k pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
6. 6.Aditya has n balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
7. 7.Find the value of 2a + 2b when a = 4 and b = 8.
8. 8.Solve: x − 2 = 2. What is x?
9. 9.Find the value of 2y − 8 when y = 11.
10. 10.Farhan has p crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
11. 11.Solve: n ÷ 4 = 20. What is n?
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
13. 13.Find the value of 3t − 35 when t = 12.
14. 14.Solve: n ÷ 12 = 13. What is n?
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
16. 16.Karan has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
17. 17.Find the value of 8n + 20 when n = 7.
18. 18.Kavya has p crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9
19. 19.Find the value of 9x − 78 when x = 11.
20. 20.Kavya has m pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
21. 21.Find the value of 9a + 6b when a = 10 and b = 5.
22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
23. 23.Find the value of 9n + 14 when n = 5.
24. 24.Solve: 6p = 48. What is p?
25. 25.Find the value of 7x + 8 when x = 2.
26. 26.Find the value of 2a + 3b when a = 10 and b = 4.
27. 27.Find the value of 2n + 3 when n = 1.
28. 28.Find the value of 3x − 2 when x = 1.
29. 29.Find the value of 4a + 3b when a = 7 and b = 4.
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
31. 31.Zoya has m bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
33. 33.Find the value of 3t − 4 when t = 3.
34. 34.Solve: y ÷ 8 = 11. What is y?
35. 35.Find the value of 7x − 80 when x = 12.
36. 36.Ishaan has m mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) m + 9 (b) m − 9 (c) m ÷ 9 (d) 9m
37. 37.Solve: 10m = 190. What is m?
38. 38.Find the value of 6t + 2 when t = 10.
39. 39.Find the value of 9m − 13 when m = 4.
40. 40.Find the value of 4a + 5b when a = 6 and b = 5.

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