Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 584 · 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 + 9b when a = 2 and b = 1.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
3. 3.Manav has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
4. 4.Solve: y − 3 = 18. What is y?
5. 5.Find the value of 4y + 3 when y = 8.
6. 6.Find the value of 8p − 55 when p = 9.
7. 7.Solve: p + 11 = 31. What is p?
8. 8.Find the value of 6a + 7b when a = 4 and b = 6.
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
10. 10.Find the value of 8m − 70 when m = 11.
11. 11.Find the value of 5m + 14 when m = 8.
12. 12.Dev has k marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
13. 13.Find the value of 5a + 2b when a = 10 and b = 1.
14. 14.Joseph has k balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
15. 15.Solve: m + 3 = 10. What is m?
16. 16.Find the value of 8n + 6 when n = 12.
17. 17.Find the value of 7y + 8 when y = 1.
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
19. 19.Find the value of 5y − 6 when y = 9.
20. 20.Meera has n kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) 5n (c) n + 5 (d) n − 5
21. 21.Solve: 3m = 18. What is m?
22. 22.Find the value of 2a + 8b when a = 2 and b = 1.
23. 23.Find the value of 7a + 9b when a = 2 and b = 8.
24. 24.Farhan has k crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
25. 25.Rohan has m marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9
26. 26.Solve: t + 6 = 17. What is t?
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
28. 28.Solve: t + 5 = 12. What is t?
29. 29.Pooja shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
30. 30.Find the value of 9t − 63 when t = 10.
31. 31.Solve: t ÷ 10 = 2. What is t?
32. 32.Find the value of 3t + 7 when t = 7.
33. 33.Find the value of 5m − 9 when m = 2.
34. 34.Solve: x ÷ 2 = 19. What is x?
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
36. 36.Solve: t + 3 = 12. What is t?
37. 37.Solve: y − 3 = 5. What is y?
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
39. 39.Diya has k shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
40. 40.Find the value of 4a + 8b when a = 7 and b = 9.

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