Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 160 · 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 7a + 4b when a = 7 and b = 10.
2. 2.Solve: 8p = 40. What is p?
3. 3.Find the value of 3a + 5b when a = 3 and b = 2.
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
5. 5.Solve: 2x = 12. What is x?
6. 6.Isha has m shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
9. 9.Priya has n flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
10. 10.Karan has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
11. 11.Solve: 11y = 22. What is y?
12. 12.Solve: 8n = 128. What is n?
13. 13.Find the value of 8a + 3b when a = 5 and b = 9.
14. 14.Solve: 7y = 63. What is y?
15. 15.Find the value of 3a + 7b when a = 2 and b = 5.
16. 16.Solve: m − 10 = 7. What is m?
17. 17.Find the value of 9a + 4b when a = 3 and b = 2.
18. 18.Find the value of 9t − 5 when t = 3.
19. 19.Solve: 3y = 27. What is y?
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
21. 21.Find the value of 8a + 9b when a = 3 and b = 9.
22. 22.Solve: x ÷ 10 = 11. What is x?
23. 23.Find the value of 7a + 2b when a = 6 and b = 1.
24. 24.Rohan shares m mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
25. 25.Solve: 10p = 130. What is p?
26. 26.Find the value of 6a + 2b when a = 3 and b = 1.
27. 27.Find the value of 7t + 1 when t = 1.
28. 28.Find the value of 2a + 9b when a = 10 and b = 6.
29. 29.Solve: n − 6 = 2. What is n?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
31. 31.Solve: 11p = 99. What is p?
32. 32.Nisha has m pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
33. 33.Solve: x ÷ 2 = 16. What is x?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
35. 35.Rohan has k bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
36. 36.Find the value of 7y − 35 when y = 7.
37. 37.Ananya shares n mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
39. 39.Solve: x + 2 = 5. What is x?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?

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