Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 73 · 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 4p + 1 when p = 2.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
3. 3.Find the value of 8a + 8b when a = 4 and b = 2.
4. 4.Solve: 5x = 100. What is x?
5. 5.Solve: m − 11 = 10. What is m?
6. 6.Solve: m ÷ 12 = 3. What is m?
7. 7.Find the value of 2x − 3 when x = 2.
8. 8.Nisha has p balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
9. 9.Tara shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) 7n (b) n ÷ 7 (c) n + 7 (d) n − 7
10. 10.Find the value of 8x + 20 when x = 3.
11. 11.Solve: p + 12 = 28. What is p?
12. 12.Kabir has k bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) 4k (b) k ÷ 4 (c) k + 4 (d) k − 4
13. 13.Find the value of 4y + 14 when y = 2.
14. 14.Find the value of 6x + 8 when x = 11.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
16. 16.Solve: p − 2 = 15. What is p?
17. 17.Solve: y ÷ 3 = 16. What is y?
18. 18.Find the value of 3a + 9b when a = 8 and b = 4.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
20. 20.Solve: x − 7 = 19. What is x?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
22. 22.Lakshmi has m marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
23. 23.Meera has k crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
24. 24.Find the value of 3t − 1 when t = 11.
25. 25.Rohan has p books. A friend has 3 more. Which expression shows how many books the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
27. 27.Find the value of 3y + 19 when y = 8.
28. 28.Find the value of 8a + 5b when a = 4 and b = 8.
29. 29.Solve: 9y = 27. What is y?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
31. 31.Ishaan has m mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
33. 33.Find the value of 7t + 12 when t = 3.
34. 34.Find the value of 5x + 13 when x = 3.
35. 35.Find the value of 2y − 5 when y = 3.
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
37. 37.Find the value of 4a + 9b when a = 1 and b = 6.
38. 38.Find the value of 4x − 1 when x = 1.
39. 39.Find the value of 3p + 4 when p = 2.
40. 40.Find the value of 5a + 9b when a = 2 and b = 8.

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