Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 608 · 40 sums

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

1. 1.The sum of four consecutive whole numbers is 214. What is the largest of them?
2. 2.The sum of four consecutive whole numbers is 34. What is the largest of them?
3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
4. 4.Solve: 8x + 19 = 7x + 22. What is x?
5. 5.Solve: 6p + 2 = 3p + 29. What is p?
6. 6.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
7. 7.The sum of four consecutive whole numbers is 226. What is the largest of them?
8. 8.Solve: 5y + 16 = y + 32. What is y?
9. 9.Solve: 4(t − 1) = t + 8. What is t?
10. 10.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
11. 11.Solve: 4(y − 3) = 3y + 5. What is y?
12. 12.The sum of two consecutive whole numbers is 109. What is the largest of them?
13. 13.Solve: n/4 + n/6 = 30. What is n?
14. 14.The sum of four consecutive whole numbers is 118. What is the smallest of them?
15. 15.Solve: 3p + 15 = 2p + 26. What is p?
16. 16.Solve: 7n + 20 = 5n + 24. What is n?
17. 17.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: 6(t − 3) = 2t + 26. What is t?
19. 19.Solve: 3(y − 4) = 2y + 5. What is y?
20. 20.Solve: 7n + 10 = 4n + 13. What is n?
21. 21.A father is 42 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
22. 22.Solve: 3y + 9 = y + 17. What is y?
23. 23.Solve: 5(p − 4) = 4p + 3. What is p?
24. 24.Solve: 5(n − 4) = n + 16. What is n?
25. 25.Solve: 3(n − 4) = 2n + 10. What is n?
26. 26.Solve: 7n + 16 = n + 40. What is n?
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
29. 29.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
30. 30.Solve: 4(n − 4) = 3n + 2. What is n?
31. 31.Solve: 6(m − 2) = m + 28. What is m?
32. 32.Solve: 3(m − 3) = m + 5. What is m?
33. 33.A father is 18 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
34. 34.The sum of three consecutive whole numbers is 39. What is the smallest of them?
35. 35.Solve: 4x + 2 = x + 20. What is x?
36. 36.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
38. 38.The sum of four consecutive whole numbers is 86. What is the largest of them?
39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
40. 40.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?

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