Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 34 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
3. 3.Find the value of 4y − 8 when y = 5.
4. 4.Find the value of 9y − 24 when y = 6.
5. 5.Isha shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
6. 6.Dev has p pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6p (b) p + 6 (c) p − 6 (d) p ÷ 6
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
8. 8.Meera has m bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m
9. 9.Find the value of 6p − 24 when p = 9.
10. 10.Find the value of 9a + 7b when a = 6 and b = 6.
11. 11.Find the value of 8t − 66 when t = 9.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
13. 13.Solve: 6t = 78. What is t?
14. 14.Aarav shares m books equally among 9 friends. Which expression shows how many books each friend gets? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
15. 15.Solve: m + 10 = 23. What is m?
16. 16.Find the value of 4a + 5b when a = 10 and b = 7.
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
18. 18.Find the value of 7p + 1 when p = 4.
19. 19.Solve: p + 9 = 23. What is p?
20. 20.Find the value of 9t − 66 when t = 9.
21. 21.Solve: 3t = 15. What is t?
22. 22.Find the value of 2m − 7 when m = 4.
23. 23.Arjun has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) m + 2 (c) 2m (d) m ÷ 2
24. 24.Find the value of 6n − 31 when n = 6.
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
26. 26.Solve: y − 3 = 10. What is y?
27. 27.Solve: 6m = 84. What is m?
28. 28.Find the value of 3a + 4b when a = 9 and b = 1.
29. 29.Joseph has n balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) n + 4 (b) n ÷ 4 (c) n − 4 (d) 4n
30. 30.Solve: m + 6 = 14. What is m?
31. 31.Solve: x − 10 = 20. What is x?
32. 32.Find the value of 5x + 18 when x = 11.
33. 33.Find the value of 3x + 13 when x = 7.
34. 34.Find the value of 4a + 9b when a = 7 and b = 6.
35. 35.Solve: t − 4 = 3. What is t?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
38. 38.Solve: n − 8 = 13. What is n?
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
40. 40.Find the value of 7a + 9b when a = 8 and b = 8.

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