Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 603 · 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.Solve: 3(x − 3) = x + 3. What is x?
2. 2.The sum of four consecutive whole numbers is 42. What is the largest of them?
3. 3.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
4. 4.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: 6m + 17 = 5m + 23. What is m?
6. 6.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
7. 7.The sum of two consecutive whole numbers is 65. What is the largest of them?
8. 8.Solve: 3m + 12 = m + 16. What is m?
9. 9.The sum of three consecutive whole numbers is 33. What is the smallest of them?
10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
11. 11.Solve: t/5 + t/2 = 21. What is t?
12. 12.Solve: 9t + 18 = 8t + 25. What is t?
13. 13.Solve: 6(y − 5) = y + 45. What is y?
14. 14.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
16. 16.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 6n + 15 = n + 35. What is n?
18. 18.Solve: 6(m − 1) = 2m + 6. What is m?
19. 19.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
21. 21.A father is 14 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?
22. 22.Solve: 5m + 2 = 4m + 12. What is m?
23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
24. 24.Solve: 5(m − 5) = 3m + 15. What is m?
25. 25.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
26. 26.Solve: 6(m − 5) = 2m + 50. What is m?
27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
28. 28.Solve: 4p + 17 = 2p + 27. What is p?
29. 29.Solve: m/5 + m/4 = 9. What is m?
30. 30.The sum of four consecutive whole numbers is 134. What is the largest of them?
31. 31.Solve: m/2 + m/5 = 7. What is m?
32. 32.The sum of three consecutive whole numbers is 153. What is the largest of them?
33. 33.Solve: 3(n − 4) = 2n + 13. What is n?
34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
35. 35.Solve: n/4 + n/5 = 36. What is n?
36. 36.A father is 20 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?
37. 37.Solve: 4m + 1 = m + 43. What is m?
38. 38.Solve: 7x + 8 = 5x + 34. What is x?
39. 39.Solve: 7x + 2 = 3x + 6. What is x?
40. 40.Solve: y/3 + y/2 = 15. What is y?

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