Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 395 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
2. 2.Find the value of 7p − 11 when p = 3.
3. 3.Solve: x ÷ 8 = 19. What is x?
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
5. 5.Find the value of 6a + 8b when a = 6 and b = 4.
6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
7. 7.Find the value of 7p − 1 when p = 7.
8. 8.Priya has n flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
9. 9.Find the value of 2m + 9 when m = 6.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
11. 11.Find the value of 2a + 6b when a = 7 and b = 3.
12. 12.Find the value of 4x − 15 when x = 12.
13. 13.Karan has m crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
14. 14.Solve: p − 7 = 13. What is p?
15. 15.Find the value of 7a + 4b when a = 2 and b = 5.
16. 16.Find the value of 2a + 6b when a = 1 and b = 3.
17. 17.Isha has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m − 2 (b) m + 2 (c) 2m (d) m ÷ 2
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
19. 19.Aarav has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
20. 20.Solve: p ÷ 11 = 18. What is p?
21. 21.Priya has m pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
22. 22.Find the value of 7a + 8b when a = 9 and b = 1.
23. 23.Aarav has p shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
24. 24.Find the value of 3a + 3b when a = 10 and b = 2.
25. 25.Farhan has m balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
27. 27.Find the value of 2p + 1 when p = 4.
28. 28.Find the value of 6t + 3 when t = 10.
29. 29.Solve: m ÷ 3 = 4. What is m?
30. 30.Solve: p + 3 = 5. What is p?
31. 31.Find the value of 2a + 3b when a = 2 and b = 9.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
33. 33.Solve: 2p = 6. What is p?
34. 34.Solve: 7p = 35. What is p?
35. 35.Find the value of 2a + 5b when a = 8 and b = 6.
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
37. 37.Find the value of 4t − 6 when t = 10.
38. 38.Find the value of 9a + 4b when a = 10 and b = 8.
39. 39.Aditya has n mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) n ÷ 9 (b) n − 9 (c) 9n (d) n + 9
40. 40.Solve: n − 5 = 3. What is n?

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