Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 989 · 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 two consecutive whole numbers is 11. What is the smallest of them?
2. 2.The sum of four consecutive whole numbers is 38. What is the largest of them?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
5. 5.Solve: x/5 + x/3 = 8. What is x?
6. 6.Solve: 4(y − 4) = 2y + 4. What is y?
7. 7.Solve: m/2 + m/3 = 35. What is m?
8. 8.The sum of four consecutive whole numbers is 226. What is the largest of them?
9. 9.A father is 24 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 3y + 20 = y + 34. What is y?
11. 11.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
12. 12.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
13. 13.Solve: 3(y − 4) = 2y + 11. What is y?
14. 14.A father is 18 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?
15. 15.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
16. 16.Solve: 3(y − 4) = y + 16. What is y?
17. 17.Solve: 5(m − 1) = m + 7. What is m?
18. 18.The sum of four consecutive whole numbers is 102. What is the largest of them?
19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
20. 20.Solve: 8t + 2 = 4t + 10. What is t?
21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
22. 22.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
23. 23.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
24. 24.Solve: 5(x − 1) = x + 7. What is x?
25. 25.Solve: 6y + 13 = 2y + 29. What is y?
26. 26.Solve: 3(y − 5) = y + 17. What is y?
27. 27.Solve: 5t + 19 = t + 75. What is t?
28. 28.Solve: 3(m − 3) = 2m + 2. What is m?
29. 29.Solve: 6(t − 2) = 2t + 24. What is t?
30. 30.The sum of three consecutive whole numbers is 21. What is the largest of them?
31. 31.Solve: 7y + 6 = 4y + 21. What is y?
32. 32.Solve: x/5 + x/2 = 14. What is x?
33. 33.The sum of three consecutive whole numbers is 36. What is the smallest of them?
34. 34.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
35. 35.Solve: 9t + 4 = 3t + 16. What is t?
36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
38. 38.Solve: n/6 + n/3 = 9. What is n?
39. 39.The sum of four consecutive whole numbers is 130. What is the largest of them?
40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?

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