Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 423 · 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: m + 6 = 15. What is m?
2. 2.Solve: 3x = 3. What is x?
3. 3.Find the value of 2x − 1 when x = 1.
4. 4.Vivaan has k books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) k ÷ 4 (b) k + 4 (c) k − 4 (d) 4k
5. 5.Find the value of 9a + 2b when a = 4 and b = 10.
6. 6.Karan has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
7. 7.Solve: x + 7 = 9. What is x?
8. 8.Lakshmi has n bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
9. 9.Find the value of 3n − 1 when n = 1.
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
11. 11.Find the value of 2a + 5b when a = 6 and b = 3.
12. 12.Solve: p ÷ 4 = 20. What is p?
13. 13.Find the value of 9p + 5 when p = 3.
14. 14.Solve: t + 9 = 24. What is t?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
17. 17.Find the value of 8y + 14 when y = 10.
18. 18.Find the value of 4x − 3 when x = 3.
19. 19.Gurpreet has p marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
20. 20.Solve: n − 2 = 12. What is n?
21. 21.Farhan has m balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
22. 22.Solve: t + 5 = 17. What is t?
23. 23.Rahul shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
24. 24.Find the value of 3a + 8b when a = 10 and b = 8.
25. 25.Find the value of 4m + 15 when m = 4.
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
27. 27.Find the value of 7m + 17 when m = 9.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
29. 29.Find the value of 9m + 12 when m = 3.
30. 30.Priya shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
31. 31.Find the value of 5a + 9b when a = 8 and b = 3.
32. 32.Find the value of 8a + 3b when a = 4 and b = 7.
33. 33.Find the value of 4a + 5b when a = 6 and b = 7.
34. 34.Find the value of 6a + 9b when a = 6 and b = 2.
35. 35.Find the value of 3t + 2 when t = 3.
36. 36.Find the value of 4y + 5 when y = 8.
37. 37.Saanvi has k books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) k − 5 (b) k + 5 (c) 5k (d) k ÷ 5
38. 38.Find the value of 4a + 9b when a = 8 and b = 2.
39. 39.Find the value of 6x − 6 when x = 9.
40. 40.Find the value of 3p + 19 when p = 11.

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