Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 601 · 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.Farhan has p pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) p − 4 (b) 4p (c) p ÷ 4 (d) p + 4
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 3a + 9b when a = 4 and b = 1.
4. 4.Solve: n + 6 = 25. What is n?
5. 5.Find the value of 6a + 2b when a = 4 and b = 2.
6. 6.Find the value of 5x + 2 when x = 3.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
9. 9.Solve: y ÷ 11 = 14. What is y?
10. 10.Find the value of 8p + 14 when p = 6.
11. 11.Find the value of 7a + 5b when a = 10 and b = 4.
12. 12.Find the value of 2a + 2b when a = 7 and b = 3.
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
14. 14.Find the value of 3m + 1 when m = 1.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
17. 17.Find the value of 4x − 10 when x = 4.
18. 18.Solve: p ÷ 5 = 2. What is p?
19. 19.Vivaan has k balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 2 (b) k − 2 (c) 2k (d) k + 2
20. 20.Find the value of 8a + 7b when a = 6 and b = 2.
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
23. 23.Find the value of 5a + 4b when a = 8 and b = 6.
24. 24.Find the value of 9y + 11 when y = 10.
25. 25.Priya has m shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) m + 8 (b) m − 8 (c) m ÷ 8 (d) 8m
26. 26.Find the value of 2x + 17 when x = 4.
27. 27.Solve: p + 7 = 26. What is p?
28. 28.Find the value of 3x + 13 when x = 12.
29. 29.Find the value of 6x − 5 when x = 7.
30. 30.Riya shares m mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
31. 31.Solve: 12y = 12. What is y?
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
33. 33.Solve: x − 11 = 16. What is x?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
35. 35.Find the value of 6t − 50 when t = 9.
36. 36.Find the value of 4y − 13 when y = 10.
37. 37.Solve: t − 11 = 4. What is t?
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
39. 39.Solve: 3x = 42. What is x?
40. 40.Find the value of 2a + 5b when a = 9 and b = 6.

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