Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 522 · 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.Lakshmi has p crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) p ÷ 4 (b) p − 4 (c) p + 4 (d) 4p
2. 2.Find the value of 2t + 5 when t = 7.
3. 3.Find the value of 6a + 5b when a = 6 and b = 9.
4. 4.Solve: 11m = 77. What is m?
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
6. 6.Solve: 8t = 64. What is t?
7. 7.Solve: p + 12 = 28. What is p?
8. 8.Find the value of 5a + 3b when a = 6 and b = 5.
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
10. 10.Find the value of 2a + 6b when a = 2 and b = 8.
11. 11.Zoya has p books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
12. 12.Find the value of 7y − 23 when y = 4.
13. 13.Find the value of 9a + 2b when a = 5 and b = 1.
14. 14.Find the value of 4y − 2 when y = 3.
15. 15.Solve: 9n = 135. What is n?
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
17. 17.Solve: m + 6 = 22. What is m?
18. 18.Find the value of 6a + 4b when a = 8 and b = 10.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
20. 20.Find the value of 4a + 7b when a = 3 and b = 4.
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
22. 22.Find the value of 4a + 2b when a = 1 and b = 5.
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
24. 24.Karan has k pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
25. 25.Ananya has k shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
26. 26.Solve: y − 11 = 9. What is y?
27. 27.Find the value of 3y − 15 when y = 12.
28. 28.Joseph has n flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) n + 4 (b) n ÷ 4 (c) n − 4 (d) 4n
29. 29.Find the value of 8a + 5b when a = 1 and b = 1.
30. 30.Aarav has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
32. 32.Riya has n balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
33. 33.Joseph has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
34. 34.Isha has n flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
35. 35.Kavya has p books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
36. 36.Find the value of 2a + 3b when a = 10 and b = 9.
37. 37.Solve: y − 5 = 4. What is y?
38. 38.Find the value of 6x − 50 when x = 9.
39. 39.Find the value of 4y + 8 when y = 7.
40. 40.Find the value of 4a + 3b when a = 1 and b = 6.

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