Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 149 · 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.Solve: x ÷ 10 = 16. What is x?
2. 2.Find the value of 3m + 15 when m = 9.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
4. 4.Find the value of 3t − 8 when t = 12.
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
6. 6.Find the value of 9y + 11 when y = 9.
7. 7.Find the value of 3n + 8 when n = 3.
8. 8.Farhan has m balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) m − 7 (b) m + 7 (c) m ÷ 7 (d) 7m
9. 9.Solve: n − 3 = 9. What is n?
10. 10.Find the value of 4p − 3 when p = 3.
11. 11.Find the value of 9a + 8b when a = 7 and b = 10.
12. 12.Find the value of 3y − 2 when y = 1.
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
14. 14.Solve: m + 9 = 29. What is m?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
16. 16.Find the value of 7y − 50 when y = 8.
17. 17.Solve: 2m = 20. What is m?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
19. 19.Find the value of 4a + 6b when a = 1 and b = 8.
20. 20.Find the value of 2a + 8b when a = 9 and b = 1.
21. 21.Solve: 7t = 105. What is t?
22. 22.Find the value of 7p − 3 when p = 3.
23. 23.Solve: t + 2 = 3. What is t?
24. 24.Find the value of 8a + 2b when a = 9 and b = 6.
25. 25.Find the value of 2a + 3b when a = 6 and b = 4.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
27. 27.Solve: n − 3 = 1. What is n?
28. 28.Solve: t ÷ 5 = 6. What is t?
29. 29.Solve: m + 4 = 19. What is m?
30. 30.Priya has p books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
32. 32.Riya has m laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
34. 34.Manav has n marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
36. 36.Gurpreet has p balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
37. 37.Solve: 5x = 95. What is x?
38. 38.Riya shares m kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
39. 39.Find the value of 3t + 4 when t = 4.
40. 40.Find the value of 9x − 45 when x = 7.

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