Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 398 · 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 4x + 6 when x = 2.
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
4. 4.Find the value of 7a + 2b when a = 8 and b = 10.
5. 5.Find the value of 2x + 5 when x = 2.
6. 6.Find the value of 2y − 1 when y = 4.
7. 7.Find the value of 6p − 5 when p = 3.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
9. 9.Solve: m + 4 = 19. What is m?
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
11. 11.Find the value of 8y − 22 when y = 11.
12. 12.Find the value of 7a + 3b when a = 1 and b = 3.
13. 13.Diya shares k mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
15. 15.Find the value of 6a + 3b when a = 10 and b = 6.
16. 16.Find the value of 2y + 13 when y = 3.
17. 17.Kavya has p mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) p ÷ 9 (b) 9p (c) p + 9 (d) p − 9
18. 18.Solve: p ÷ 9 = 1. What is p?
19. 19.Find the value of 3x + 12 when x = 1.
20. 20.Arjun has n mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
21. 21.Arjun has n pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
22. 22.Solve: t + 12 = 15. What is t?
23. 23.Find the value of 2a + 4b when a = 7 and b = 4.
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
25. 25.Solve: y + 5 = 16. What is y?
26. 26.Rohan has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p + 3 (b) p − 3 (c) 3p (d) p ÷ 3
27. 27.Find the value of 8x + 11 when x = 4.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
29. 29.Solve: m + 5 = 14. What is m?
30. 30.Find the value of 3a + 3b when a = 8 and b = 2.
31. 31.Zoya shares m balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
32. 32.Solve: 2p = 4. What is p?
33. 33.Find the value of 4a + 9b when a = 1 and b = 10.
34. 34.Kavya has p crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) p − 9 (b) p + 9 (c) p ÷ 9 (d) 9p
35. 35.Find the value of 2a + 4b when a = 1 and b = 7.
36. 36.Solve: n − 7 = 11. What is n?
37. 37.Find the value of 7y − 4 when y = 10.
38. 38.Solve: y + 6 = 8. What is y?
39. 39.Solve: m ÷ 6 = 20. What is m?
40. 40.Find the value of 2x − 6 when x = 5.

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