Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 517 · 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: t − 2 = 13. What is t?
2. 2.Solve: t ÷ 4 = 19. What is t?
3. 3.Find the value of 4p + 14 when p = 11.
4. 4.Find the value of 6a + 7b when a = 1 and b = 2.
5. 5.Find the value of 9t − 4 when t = 6.
6. 6.Find the value of 4a + 5b when a = 1 and b = 3.
7. 7.Find the value of 7a + 7b when a = 2 and b = 5.
8. 8.Isha has p pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
9. 9.Find the value of 4a + 2b when a = 7 and b = 9.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
12. 12.Diya has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
13. 13.Find the value of 3p − 13 when p = 7.
14. 14.Farhan has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
15. 15.Find the value of 7a + 3b when a = 3 and b = 7.
16. 16.Find the value of 9x + 1 when x = 11.
17. 17.Sneha has k flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
18. 18.Find the value of 6x + 17 when x = 10.
19. 19.Find the value of 4a + 7b when a = 10 and b = 9.
20. 20.Find the value of 2a + 9b when a = 2 and b = 3.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
22. 22.Solve: n + 8 = 18. What is n?
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
24. 24.Find the value of 6m + 19 when m = 1.
25. 25.Rohan has p pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
26. 26.Find the value of 9x + 10 when x = 7.
27. 27.Solve: p + 7 = 16. What is p?
28. 28.Find the value of 8a + 9b when a = 3 and b = 8.
29. 29.Find the value of 2a + 9b when a = 1 and b = 10.
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
31. 31.Find the value of 7a + 7b when a = 8 and b = 8.
32. 32.Solve: m − 12 = 6. What is m?
33. 33.Dev has m balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
34. 34.Solve: 5t = 20. What is t?
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
36. 36.Find the value of 4t + 4 when t = 9.
37. 37.Arjun has p pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
39. 39.Find the value of 4x − 1 when x = 1.
40. 40.Find the value of 5y − 35 when y = 12.

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