Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 925 · 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 length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
2. 2.Solve: 3y + 8 = 2y + 20. What is y?
3. 3.Solve: 3(x − 2) = 2x + 12. What is x?
4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
5. 5.Solve: t/2 + t/5 = 35. What is t?
6. 6.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
7. 7.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
9. 9.A father is 18 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 4(m − 1) = m + 38. What is m?
11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
12. 12.Solve: 3(t − 5) = 2t + 8. What is t?
13. 13.Solve: n/6 + n/2 = 32. What is n?
14. 14.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
15. 15.Solve: 5y + 4 = 4y + 10. What is y?
16. 16.Solve: 4(m − 5) = m + 19. What is m?
17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
18. 18.The sum of three consecutive whole numbers is 162. What is the smallest of them?
19. 19.Solve: n/5 + n/2 = 42. What is n?
20. 20.Solve: n/6 + n/2 = 28. What is n?
21. 21.Solve: 6t + 8 = 2t + 24. What is t?
22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
25. 25.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
26. 26.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 6(p − 1) = 5p + 9. What is p?
28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
29. 29.The sum of four consecutive whole numbers is 202. What is the smallest of them?
30. 30.The sum of four consecutive whole numbers is 114. What is the largest of them?
31. 31.Solve: 6m + 1 = 2m + 13. What is m?
32. 32.The sum of three consecutive whole numbers is 30. What is the smallest of them?
33. 33.The sum of three consecutive whole numbers is 177. What is the largest of them?
34. 34.The sum of four consecutive whole numbers is 178. What is the smallest of them?
35. 35.The sum of two consecutive whole numbers is 57. What is the largest of them?
36. 36.The sum of two consecutive whole numbers is 33. What is the smallest of them?
37. 37.Solve: x/4 + x/6 = 25. What is x?
38. 38.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
39. 39.Solve: y/5 + y/6 = 33. What is y?
40. 40.Solve: m/3 + m/2 = 30. What is m?

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